diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/README.md b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/README.md
new file mode 100644
index 000000000000..a0ffc5ab320a
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/README.md
@@ -0,0 +1,153 @@
+
+
+# toBinaryString
+
+> Return a string giving the literal bit representation of a [half-precision floating-point number][ieee754].
+
+
+
+## Usage
+
+```javascript
+var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+```
+
+#### toBinaryString( x )
+
+Returns a string giving the literal bit representation of a [half-precision floating-point number][ieee754].
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+var str = toBinaryString( toFloat16( 4.0 ) );
+// returns '0100010000000000'
+
+str = toBinaryString( toFloat16( 3.1415926 ) );
+// returns '0100001001001000'
+
+str = toBinaryString( toFloat16( -1.0e3 ) );
+// returns '1110001111010000'
+```
+
+The function handles [subnormals][subnormals].
+
+```javascript
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+
+var str = toBinaryString( toFloat16( -3.14e-6 ) );
+// returns '1000000000110101'
+
+str = toBinaryString( toFloat16( 1.4e-7 ) );
+// returns '0000000000000010'
+```
+
+The function handles special values.
+
+```javascript
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+
+var str = toBinaryString( 0.0 );
+// returns '0000000000000000'
+
+str = toBinaryString( -0.0 );
+// returns '1000000000000000'
+
+str = toBinaryString( NaN );
+// returns '0111111000000000'
+
+str = toBinaryString( PINF );
+// returns '0111110000000000'
+
+str = toBinaryString( NINF );
+// returns '1111110000000000'
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+
+var frac;
+var sign;
+var exp;
+var b;
+var x;
+var i;
+
+// Convert random numbers to literal bit representations...
+for ( i = 0; i < 100; i++ ) {
+ if ( randu() < 0.5 ) {
+ sign = -1.0;
+ } else {
+ sign = 1.0;
+ }
+ frac = randu() * 10.0;
+ exp = round( randu()*10.0 );
+ if ( randu() < 0.5 ) {
+ exp = -exp;
+ }
+ x = sign * frac * pow( 2.0, exp );
+ x = float64ToFloat16( x );
+ b = toBinaryString( x );
+ console.log( b );
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-2008
+
+[subnormals]: https://en.wikipedia.org/wiki/Denormal_number
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/benchmark/benchmark.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/benchmark/benchmark.js
new file mode 100644
index 000000000000..e12550bd6f11
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/benchmark/benchmark.js
@@ -0,0 +1,55 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isString = require( '@stdlib/assert/is-string' ).isPrimitive;
+var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var map = require( '@stdlib/array/base/map' );
+var naryFunction = require( '@stdlib/utils/nary-function' );
+var pkg = require( './../package.json' ).name;
+var toBinaryString = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = map( uniform( 100, -5.0e4, 5.0e4 ), naryFunction( toFloat16, 1 ) );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = toBinaryString( x[ i%x.length ] );
+ if ( typeof y !== 'string' ) {
+ b.fail( 'should return a string' );
+ }
+ }
+ b.toc();
+ if ( !isString( y ) ) {
+ b.fail( 'should return a string' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/repl.txt b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/repl.txt
new file mode 100644
index 000000000000..69f02e4807e4
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/repl.txt
@@ -0,0 +1,41 @@
+
+{{alias}}( x )
+ Returns a string giving the literal bit representation of a half-precision
+ floating-point number.
+
+ Parameters
+ ----------
+ x: float
+ Half-precision floating-point number.
+
+ Returns
+ -------
+ str: string
+ Bit representation.
+
+ Examples
+ --------
+ > var str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 4.0 ) )
+ '0100010000000000'
+ > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 3.1415926 ) )
+ '0100001001001000'
+ > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( -1.0e3 ) )
+ '1110001111010000'
+ > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( -3.14e-6 ) )
+ '1000000000110101'
+ > str = {{alias}}( {{alias:@stdlib/number/float64/base/to-float16}}( 1.4e-7 ) )
+ '0000000000000010'
+ > str = {{alias}}( 0.0 )
+ '0000000000000000'
+ > str = {{alias}}( -0.0 )
+ '1000000000000000'
+ > str = {{alias}}( NaN )
+ '0111111000000000'
+ > str = {{alias}}( {{alias:@stdlib/constants/float16/pinf}} )
+ '0111110000000000'
+ > str = {{alias}}( {{alias:@stdlib/constants/float16/ninf}} )
+ '1111110000000000'
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/types/index.d.ts b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/types/index.d.ts
new file mode 100644
index 000000000000..323421ad3d3b
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/types/index.d.ts
@@ -0,0 +1,86 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Returns a string giving the literal bit representation of a half-precision floating-point number.
+*
+* @param x - input value
+* @returns bit representation
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 4.0 ) );
+* // returns '0100010000000000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 3.1415926 ) );
+* // returns '0100001001001000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( -1.0e3 ) );
+* // returns '1110001111010000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( -3.14e-6 ) );
+* // returns '1000000000110101'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 1.4e-7 ) );
+* // returns '0000000000000010'
+*
+* @example
+* var str = toBinaryString( 0.0 );
+* // returns '0000000000000000'
+*
+* @example
+* var str = toBinaryString( -0.0 );
+* // returns '1000000000000000'
+*
+* @example
+* var str = toBinaryString( NaN );
+* // returns '0111111000000000'
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var str = toBinaryString( PINF );
+* // returns '0111110000000000'
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var str = toBinaryString( NINF );
+* // returns '1111110000000000'
+*/
+declare function toBinaryString( x: number ): string;
+
+
+// EXPORTS //
+
+export = toBinaryString;
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/types/test.ts b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/types/test.ts
new file mode 100644
index 000000000000..056e3483b051
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/docs/types/test.ts
@@ -0,0 +1,43 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import toBinaryString = require( './index' );
+
+
+// TESTS //
+
+// The function returns a string...
+{
+ toBinaryString( 0.0 ); // $ExpectType string
+ toBinaryString( -0.0 ); // $ExpectType string
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ toBinaryString( true ); // $ExpectError
+ toBinaryString( false ); // $ExpectError
+ toBinaryString( 'abc' ); // $ExpectError
+ toBinaryString( [] ); // $ExpectError
+ toBinaryString( {} ); // $ExpectError
+ toBinaryString( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ toBinaryString(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/examples/index.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/examples/index.js
new file mode 100644
index 000000000000..f97e47b68b88
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/examples/index.js
@@ -0,0 +1,101 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var randu = require( '@stdlib/random/base/randu' );
+var round = require( '@stdlib/math/base/special/round' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var float64ToFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+var SMALLEST_NORMAL = require( '@stdlib/constants/float16/smallest-normal' );
+var BIAS = require( '@stdlib/constants/float16/exponent-bias' );
+var toBinaryString = require( './../lib' );
+
+var frac;
+var sign;
+var exp;
+var b;
+var x;
+var i;
+
+// Convert random numbers to literal bit representations...
+for ( i = 0; i < 100; i++ ) {
+ if ( randu() < 0.5 ) {
+ sign = -1.0;
+ } else {
+ sign = 1.0;
+ }
+ frac = randu() * 10.0;
+ exp = round( randu()*10.0 );
+ if ( randu() < 0.5 ) {
+ exp = -exp;
+ }
+ x = sign * frac * pow( 2.0, exp );
+ x = float64ToFloat16( x );
+ b = toBinaryString( x );
+ log( x, b );
+}
+
+function log( x, b ) {
+ var sign;
+ var frac;
+ var tmp;
+ var exp;
+
+ console.log( '%d => %s', x, b );
+
+ tmp = b.substring( 0, 1 );
+ sign = ( tmp === '1' ) ? -1.0 : 1.0;
+ console.log( 'sign: %s', tmp );
+
+ tmp = b.substring( 1, 6 );
+ exp = parseInt( tmp, 2 ) - BIAS;
+ console.log( 'exp: %s => %d', tmp, exp );
+
+ tmp = b.substring( 6 );
+ frac = parseInt( tmp, 2 );
+ console.log( 'frac: %s => %d', tmp, frac );
+
+ frac = tmp;
+ if ( abs(x) < SMALLEST_NORMAL ) {
+ frac = '0.' + frac;
+ exp = 1 - BIAS; // subnormals are special
+ } else {
+ frac = '1.' + frac;
+ }
+ x = sign * frac2half( frac ) * pow( 2.0, exp );
+
+ console.log( '%d*%s*2^%d = %d\n', sign, frac, exp, x );
+}
+
+function frac2half( frac ) {
+ var sum;
+ var i;
+ if ( frac[ 0 ] === '1' ) {
+ sum = 1.0; // 2^0
+ } else {
+ sum = 0.0; // subnormals
+ }
+ for ( i = 2; i < frac.length; i++ ) {
+ if ( frac[ i ] === '1' ) {
+ sum += pow( 2.0, -(i-1) );
+ }
+ }
+ return sum;
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/div2.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/div2.js
new file mode 100644
index 000000000000..833cb65a476a
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/div2.js
@@ -0,0 +1,71 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var floor = require( '@stdlib/math/base/special/floor' );
+
+
+// MAIN //
+
+/**
+* Converts a nonnegative integer to a literal bit representation using the divide-by-2 algorithm.
+*
+* @private
+* @param {NonNegativeInteger} x - nonnegative integer
+* @returns {BinaryString} bit representation
+*
+* @example
+* var v = div2( 3 );
+* // returns '11'
+*
+* @example
+* var v = div2( 0 );
+* // returns ''
+*
+* @example
+* var v = div2( 12 );
+* // returns '1100'
+*
+* @example
+* var v = div2( 188 );
+* // returns '10111100'
+*/
+function div2( x ) {
+ var str = '';
+ var y;
+
+ // We repeatedly divide by 2 and check for a remainder. If a remainder exists, the number is odd and we add a '1' bit...
+ while ( x > 0 ) {
+ y = x / 2.0;
+ x = floor( y );
+ if ( y === x ) {
+ str = '0' + str;
+ } else {
+ str = '1' + str;
+ }
+ }
+ return str;
+}
+
+
+// EXPORTS //
+
+module.exports = div2;
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/index.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/index.js
new file mode 100644
index 000000000000..1c736b135366
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/index.js
@@ -0,0 +1,70 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Return a string giving the literal bit representation of a half-precision floating-point number.
+*
+* @module @stdlib/number/float16/base/to-binary-string
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+* var toBinaryString = require( '@stdlib/number/float16/base/to-binary-string' );
+*
+* var str = toBinaryString( toFloat16( 4.0 ) );
+* // returns '0100010000000000'
+*
+* str = toBinaryString( toFloat16( 3.1415926 ) );
+* // returns '0100001001001000'
+*
+* str = toBinaryString( toFloat16( -1.0e3 ) );
+* // returns '1110001111010000'
+*
+* str = toBinaryString( toFloat16( -3.14e-6 ) );
+* // returns '1000000000110101'
+*
+* str = toBinaryString( toFloat16( 1.4e-7 ) );
+* // returns '0000000000000010'
+*
+* str = toBinaryString( 0.0 );
+* // returns '0000000000000000'
+*
+* str = toBinaryString( -0.0 );
+* // returns '1000000000000000'
+*
+* str = toBinaryString( NaN );
+* // returns '0111111000000000'
+*
+* str = toBinaryString( PINF );
+* // returns '0111110000000000'
+*
+* str = toBinaryString( NINF );
+* // returns '1111110000000000'
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/main.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/main.js
new file mode 100644
index 000000000000..1135275b9510
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/main.js
@@ -0,0 +1,195 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+var BIAS = require( '@stdlib/constants/float16/exponent-bias' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var rpad = require( '@stdlib/string/right-pad' );
+var lpad = require( '@stdlib/string/left-pad' );
+var repeat = require( '@stdlib/string/repeat' );
+var div2 = require( './div2.js' );
+var mult2 = require( './mult2.js' );
+
+
+// VARIABLES //
+
+// TODO: consider placing in external modules
+var NUM_SIGNIFICAND_BITS = 10;
+var NUM_EXPONENT_BITS = 5;
+
+
+// MAIN //
+
+/**
+* Returns a string giving the literal bit representation of a half-precision floating-point number.
+*
+* @param {number} x - input value
+* @returns {BinaryString} bit representation
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 4.0 ) );
+* // returns '0100010000000000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 3.1415926 ) );
+* // returns '0100001001001000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( -1.0e3 ) );
+* // returns '1110001111010000'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( -3.14e-6 ) );
+* // returns '1000000000110101'
+*
+* @example
+* var toFloat16 = require( '@stdlib/number/float64/base/to-float16' );
+*
+* var str = toBinaryString( toFloat16( 1.4e-7 ) );
+* // returns '0000000000000010'
+*
+* @example
+* var str = toBinaryString( 0.0 );
+* // returns '0000000000000000'
+*
+* @example
+* var str = toBinaryString( -0.0 );
+* // returns '1000000000000000'
+*
+* @example
+* var str = toBinaryString( NaN );
+* // returns '0111111000000000'
+*
+* @example
+* var PINF = require( '@stdlib/constants/float16/pinf' );
+*
+* var str = toBinaryString( PINF );
+* // returns '0111110000000000'
+*
+* @example
+* var NINF = require( '@stdlib/constants/float16/ninf' );
+*
+* var str = toBinaryString( NINF );
+* // returns '1111110000000000'
+*/
+function toBinaryString( x ) {
+ var nbits;
+ var sign;
+ var str;
+ var exp;
+ var n;
+ var f;
+ var i;
+
+ // Check for a negative value or negative zero...
+ if ( x < 0.0 || 1.0/x === NINF ) {
+ sign = '1';
+ } else {
+ sign = '0';
+ }
+ // Special case: +-infinity
+ if ( x === PINF || x === NINF ) {
+ // Based on IEEE 754-2008...
+ exp = repeat( '1', NUM_EXPONENT_BITS ); // all 1s
+ str = repeat( '0', NUM_SIGNIFICAND_BITS ); // all 0s
+ return sign + exp + str;
+ }
+ // Special case: NaN
+ if ( x !== x ) {
+ // Based on IEEE 754-2008...
+ exp = repeat( '1', NUM_EXPONENT_BITS ); // all 1s
+ str = '1' + repeat( '0', NUM_SIGNIFICAND_BITS-1 ); // can't be all 0s
+ return sign + exp + str;
+ }
+ // Special case: +-0
+ if ( x === 0.0 ) {
+ // Based on IEEE 754-2008...
+ exp = repeat( '0', NUM_EXPONENT_BITS ); // all 0s
+ str = repeat( '0', NUM_SIGNIFICAND_BITS ); // all 0s
+ return sign + exp + str;
+ }
+ x = abs( x );
+
+ // Isolate the integer part (digits before the decimal):
+ n = floor( x );
+
+ // Isolate the fractional part (digits after the decimal):
+ f = x - n;
+
+ // Convert the integer and fractional parts to bit strings:
+ n = div2( n );
+ f = mult2( f );
+
+ // Determine the exponent needed to normalize the integer+fractional parts...
+ if ( n ) {
+ // Move the decimal `d` digits to the left:
+ exp = n.length - 1;
+ } else {
+ // Find the first '1' bit...
+ for ( i = 0; i < f.length; i++ ) {
+ if ( f[ i ] === '1' ) {
+ nbits = i + 1;
+ break;
+ }
+ }
+ // Move the decimal `d` digits to the right:
+ exp = -nbits;
+ }
+ // Normalize the combined integer+fractional string...
+ str = n + f;
+ if ( exp < 0 ) {
+ // Handle subnormals...
+ if ( exp <= -BIAS ) {
+ // Cap the number of bits removed:
+ nbits = BIAS - 1;
+ }
+ // Remove all leading zeros and the first '1' for normal values, and, for subnormals, remove at most BIAS-1 leading bits:
+ str = str.substring( nbits );
+ } else {
+ // Remove the leading '1' (implicit/hidden bit):
+ str = str.substring( 1 );
+ }
+ // Convert the exponent to a bit string:
+ exp = div2( exp + BIAS );
+ exp = lpad( exp, NUM_EXPONENT_BITS, '0' );
+
+ // Fill in any trailing zeros and ensure we have only 10 fraction bits:
+ str = rpad( str, NUM_SIGNIFICAND_BITS, '0' ).substring( 0, NUM_SIGNIFICAND_BITS );
+
+ // Return a bit representation:
+ return sign + exp + str;
+}
+
+
+// EXPORTS //
+
+module.exports = toBinaryString;
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/mult2.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/mult2.js
new file mode 100644
index 000000000000..60222b526a9b
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/lib/mult2.js
@@ -0,0 +1,81 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// VARIABLES //
+
+var MAX_ITER = 24; // 15+10-1 (subnormals) => BIAS+NUM_SIGNFICAND_BITS-1
+var MAX_BITS = 11; // only 10 bits for fraction
+
+
+// MAIN //
+
+/**
+* Converts a fraction to a literal bit representation using the multiply-by-2 algorithm.
+*
+* @private
+* @param {number} x - number less than 1
+* @returns {BinaryString} bit representation
+*
+* @example
+* var v = mult2( 0.234375 );
+* // returns '001111'
+*
+* @example
+* var v = mult2( 0.0 );
+* // returns ''
+*/
+function mult2( x ) {
+ var str;
+ var y;
+ var i;
+ var j;
+
+ str = '';
+ if ( x === 0.0 ) {
+ return str;
+ }
+ j = MAX_ITER;
+
+ // Each time we multiply by 2 and find a ones digit, add a '1'; otherwise, add a '0'..
+ for ( i = 0; i < MAX_ITER; i++ ) {
+ y = x * 2.0;
+ if ( y >= 1.0 ) {
+ x = y - 1.0;
+ str += '1';
+ if ( j === MAX_ITER ) {
+ j = i; // first '1'
+ }
+ } else {
+ x = y;
+ str += '0';
+ }
+ // Stop when we have no more decimals to process or in the event we found a fraction which cannot be represented in a finite number of bits...
+ if ( y === 1.0 || i-j > MAX_BITS ) {
+ break;
+ }
+ }
+
+ return str;
+}
+
+
+// EXPORTS //
+
+module.exports = mult2;
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/package.json b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/package.json
new file mode 100644
index 000000000000..0162069c4540
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/package.json
@@ -0,0 +1,72 @@
+{
+ "name": "@stdlib/number/float16/base/to-binary-string",
+ "version": "0.0.0",
+ "description": "Return a string giving the literal bit representation of a half-precision floating-point number.",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "lib": "./lib",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdtypes",
+ "base",
+ "utilities",
+ "utility",
+ "utils",
+ "util",
+ "types",
+ "type",
+ "number",
+ "binary",
+ "bin",
+ "bits",
+ "float16",
+ "half",
+ "float",
+ "floating-point",
+ "tostring",
+ "string"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_-1e2_1e2.json b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_-1e2_1e2.json
new file mode 100644
index 000000000000..ea3bf27aa2b5
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_-1e2_1e2.json
@@ -0,0 +1 @@
+{"expected":["1101011001000000","1101011000111101","1101011000111010","1101011000110110","1101011000110011","1101011000110000","1101011000101101","1101011000101010","1101011000100111","1101011000100011","1101011000100000","1101011000011101","1101011000011010","1101011000010111","1101011000010011","1101011000010000","1101011000001101","1101011000001010","1101011000000111","1101011000000100","1101011000000000","1101010111111101","1101010111111010","1101010111110111","1101010111110100","1101010111110000","1101010111101101","1101010111101010","1101010111100111","1101010111100100","1101010111100001","1101010111011101","1101010111011010","1101010111010111","1101010111010100","1101010111010001","1101010111001101","1101010111001010","1101010111000111","1101010111000100","1101010111000001","1101010110111110","1101010110111010","1101010110110111","1101010110110100","1101010110110001","1101010110101110","1101010110101010","1101010110100111","1101010110100100","1101010110100001","1101010110011110","1101010110011011","1101010110010111","1101010110010100","1101010110010001","1101010110001110","1101010110001011","1101010110001000","1101010110000100","1101010110000001","1101010101111110","1101010101111011","1101010101111000","1101010101110100","1101010101110001","1101010101101110","1101010101101011","1101010101101000","1101010101100101","1101010101100001","1101010101011110","1101010101011011","1101010101011000","1101010101010101","1101010101010001","1101010101001110","1101010101001011","1101010101001000","1101010101000101","1101010101000010","1101010100111110","1101010100111011","1101010100111000","1101010100110101","1101010100110010","1101010100101110","1101010100101011","1101010100101000","1101010100100101","1101010100100010","1101010100011111","1101010100011011","1101010100011000","1101010100010101","1101010100010010","1101010100001111","1101010100001011","1101010100001000","1101010100000101","1101010100000010","1101010011111111","1101010011111100","1101010011111000","1101010011110101","1101010011110010","1101010011101111","1101010011101100","1101010011101000","1101010011100101","1101010011100010","1101010011011111","1101010011011100","1101010011011001","1101010011010101","1101010011010010","1101010011001111","1101010011001100","1101010011001001","1101010011000101","1101010011000010","1101010010111111","1101010010111100","1101010010111001","1101010010110110","1101010010110010","1101010010101111","1101010010101100","1101010010101001","1101010010100110","1101010010100010","1101010010011111","1101010010011100","1101010010011001","1101010010010110","1101010010010011","1101010010001111","1101010010001100","1101010010001001","1101010010000110","1101010010000011","1101010001111111","1101010001111100","1101010001111001","1101010001110110","1101010001110011","1101010001110000","1101010001101100","1101010001101001","1101010001100110","1101010001100011","1101010001100000","1101010001011101","1101010001011001","1101010001010110","1101010001010011","1101010001010000","1101010001001101","1101010001001001","1101010001000110","1101010001000011","1101010001000000","1101010000111101","1101010000111010","1101010000110110","1101010000110011","1101010000110000","1101010000101101","1101010000101010","1101010000100110","1101010000100011","1101010000100000","1101010000011101","1101010000011010","1101010000010111","1101010000010011","1101010000010000","1101010000001101","1101010000001010","1101010000000111","1101010000000011","1101010000000000","1101001111111010","1101001111110100","1101001111101101","1101001111100111","1101001111100001","1101001111011010","1101001111010100","1101001111001110","1101001111000111","1101001111000001","1101001110111011","1101001110110100","1101001110101110","1101001110100111","1101001110100001","1101001110011011","1101001110010100","1101001110001110","1101001110001000","1101001110000001","1101001101111011","1101001101110101","1101001101101110","1101001101101000","1101001101100001","1101001101011011","1101001101010101","1101001101001110","1101001101001000","1101001101000010","1101001100111011","1101001100110101","1101001100101111","1101001100101000","1101001100100010","1101001100011011","1101001100010101","1101001100001111","1101001100001000","1101001100000010","1101001011111100","1101001011110101","1101001011101111","1101001011101001","1101001011100010","1101001011011100","1101001011010110","1101001011001111","1101001011001001","1101001011000010","1101001010111100","1101001010110110","1101001010101111","1101001010101001","1101001010100011","1101001010011100","1101001010010110","1101001010010000","1101001010001001","1101001010000011","1101001001111100","1101001001110110","1101001001110000","1101001001101001","1101001001100011","1101001001011101","1101001001010110","1101001001010000","1101001001001010","1101001001000011","1101001000111101","1101001000110110","1101001000110000","1101001000101010","1101001000100011","1101001000011101","1101001000010111","1101001000010000","1101001000001010","1101001000000100","1101000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diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e-4_1e-5.json b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e-4_1e-5.json
new file mode 100644
index 000000000000..b11f344dfe91
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e-4_1e-5.json
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diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e-6_1e-8.json b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e-6_1e-8.json
new file mode 100644
index 000000000000..35660da206e6
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e-6_1e-8.json
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diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e3_1e4.json b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e3_1e4.json
new file mode 100644
index 000000000000..0691f9b2c362
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/bits_1e3_1e4.json
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diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/runner.jl
new file mode 100644
index 000000000000..c5e5df67494c
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/fixtures/julia/runner.jl
@@ -0,0 +1,84 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import JSON
+
+"""
+ gen( x, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `x`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000, stop = 1000, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( x, name )
+ y = Array{Any}( undef, length(x) );
+ z = Array{Any}( undef, length(x) );
+ for i in eachindex(x)
+ # Mimic implicit type promotion in JavaScript where we need to cast a Float64 to a Float16 before deriving a bit sequence:
+ f16 = convert( Float16, x[i] );
+ y[i] = bitstring( f16 );
+ z[i] = convert( Float64, f16 );
+ end
+
+ # Store data to be written to file as a collection:
+ data = Dict([
+ ("x", z),
+ ("expected", y)
+ ]);
+
+ # Based on the script directory, create an output filepath:
+ filepath = joinpath( dir, name );
+
+ # Write the data to the output filepath as JSON:
+ outfile = open( filepath, "w" );
+ write( outfile, JSON.json(data) );
+ write( outfile, "\n" );
+ close( outfile );
+end
+
+# Get the filename:
+file = @__FILE__;
+
+# Extract the directory in which this file resides:
+dir = dirname( file );
+
+# Small values:
+x = range( 1e-4, stop = 1e-5, length = 1007 );
+gen( x, "bits_1e-4_1e-5.json" );
+
+# Medium values:
+x = range( -1e2, stop = 1e2, length = 1007 );
+gen( x, "bits_-1e2_1e2.json" );
+
+# Large values:
+x = range( 1e3, stop = 1e4, length = 1007 );
+gen( x, "bits_1e3_1e4.json" );
+
+# Subnormal values:
+x = range( 1e-6, stop = 1e-8, length = 1007 );
+gen( x, "bits_1e-6_1e-8.json" );
diff --git a/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/test.js b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/test.js
new file mode 100644
index 000000000000..23f75310cff2
--- /dev/null
+++ b/lib/node_modules/@stdlib/number/float16/base/to-binary-string/test/test.js
@@ -0,0 +1,162 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var repeat = require( '@stdlib/string/repeat' );
+var rpad = require( '@stdlib/string/right-pad' );
+var PINF = require( '@stdlib/constants/float16/pinf' );
+var NINF = require( '@stdlib/constants/float16/ninf' );
+var toBinaryString = require( './../lib' );
+
+
+// VARIABLES //
+
+// TODO: consider placing in external modules
+var NUM_SIGNIFICAND_BITS = 10;
+var NUM_EXPONENT_BITS = 5;
+
+
+// FIXTURES //
+
+var small = require( './fixtures/julia/bits_1e-4_1e-5.json' );
+var medium = require( './fixtures/julia/bits_-1e2_1e2.json' );
+var large = require( './fixtures/julia/bits_1e3_1e4.json' );
+var subnormal = require( './fixtures/julia/bits_1e-6_1e-8.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof toBinaryString, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'if provided `+0`, the function returns a string of all zeros', function test( t ) {
+ var expected = repeat( '0', 16 );
+ t.strictEqual( toBinaryString( 0.0 ), expected, 'returns all 0s' );
+ t.end();
+});
+
+tape( 'if provided `-0`, the function returns a string of all zeros except for the sign bit', function test( t ) {
+ var expected = rpad( '1', 16, '0' );
+ t.strictEqual( toBinaryString( -0.0 ), expected, 'returns all 0s except the sign bit' );
+ t.end();
+});
+
+tape( 'if provided `+infinity`, the function returns a string where all exponent bits are 1s and everything else are 0s', function test( t ) {
+ var expected;
+
+ expected = '0';
+ expected += repeat( '1', NUM_EXPONENT_BITS );
+ expected += repeat( '0', NUM_SIGNIFICAND_BITS );
+
+ t.strictEqual( toBinaryString( PINF ), expected, 'returns bit string for +infinity' );
+ t.end();
+});
+
+tape( 'if provided `-infinity`, the function returns a string where the sign bit is 1, all exponent bits are 1s, and everything else are 0s', function test( t ) {
+ var expected;
+
+ expected = '1';
+ expected += repeat( '1', NUM_EXPONENT_BITS );
+ expected += repeat( '0', NUM_SIGNIFICAND_BITS );
+
+ t.strictEqual( toBinaryString( NINF ), expected, 'returns bit string for -infinity' );
+ t.end();
+});
+
+tape( 'if provided `NaN`, the function returns a string where the sign bit may be either 1 or 0, all exponent bits are 1s, and the fraction cannot be all 0s', function test( t ) {
+ var actual;
+ var frac;
+ var exp;
+
+ exp = repeat( '1', NUM_EXPONENT_BITS );
+ frac = repeat( '0', NUM_SIGNIFICAND_BITS );
+
+ actual = toBinaryString( NaN );
+
+ t.ok( actual[0] === '0' || actual[1] === '1', 'sign bit is either 1 or 0' );
+ t.strictEqual( actual.substring( 1, 6 ), exp, 'all 1s for exponent' );
+ t.notEqual( actual.substring( 6 ), frac, 'fraction does not equal all 0s' );
+ t.end();
+});
+
+tape( 'the function returns literal bit representations for small values', function test( t ) {
+ var expected;
+ var str;
+ var x;
+ var i;
+
+ x = small.x;
+ expected = small.expected;
+ for ( i = 0; i < x.length; i++ ) {
+ str = toBinaryString( x[ i ] );
+ t.strictEqual( str, expected[ i ], 'returns bit literal for ' + x[ i ] );
+ }
+ t.end();
+});
+
+tape( 'the function returns literal bit representations for medium values', function test( t ) {
+ var expected;
+ var str;
+ var x;
+ var i;
+
+ x = medium.x;
+ expected = medium.expected;
+ for ( i = 0; i < x.length; i++ ) {
+ str = toBinaryString( x[ i ] );
+ t.strictEqual( str, expected[ i ], 'returns bit literal for ' + x[ i ] );
+ }
+ t.end();
+});
+
+tape( 'the function returns literal bit representations for large values', function test( t ) {
+ var expected;
+ var str;
+ var x;
+ var i;
+
+ x = large.x;
+ expected = large.expected;
+ for ( i = 0; i < x.length; i++ ) {
+ str = toBinaryString( x[ i ] );
+ t.strictEqual( str, expected[ i ], 'returns bit literal for ' + x[ i ] );
+ }
+ t.end();
+});
+
+tape( 'the function returns literal bit representations for subnormal values', function test( t ) {
+ var expected;
+ var str;
+ var x;
+ var i;
+
+ x = subnormal.x;
+ expected = subnormal.expected;
+ for ( i = 0; i < x.length; i++ ) {
+ str = toBinaryString( x[ i ] );
+ t.strictEqual( str, expected[ i ], 'returns bit literal for ' + x[ i ] );
+ }
+ t.end();
+});