answer all question

Author: AhmadHmedann

number-systems/README.md

@@ -4,6 +4,54 @@ Do not convert any binary numbers to decimal when solving a question unless the
 
 The goal of these exercises is for you to gain an intuition for binary numbers. Using tools to solve the problems defeats the point.
 
+Convert the decimal number 14 to binary.
+Answer: 1110
+
+Convert the binary number 101101 to decimal:
+Answer: 45
+
+Which is larger: 1000 or 0111?
+Answer: 1000
+
+Which is larger: 00100 or 01011?
+Answer: 01011
+
+What is 10101 + 01010?
+Answer: 100000
+
+What is 10001 + 10001?
+Answer: 100010
+
+What's the largest number you can store with 4 bits, if you want to be able to represent the number 0?
+Answer: 15
+
+How many bits would you need in order to store the numbers between 0 and 255 inclusive?
+Answer: 9 bits
+
+How many bits would you need in order to store the numbers between 0 and 3 inclusive?
+Answer: 2 bits
+
+How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
+Answer: 10 bits
+
+How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
+Answer: n & n-1 == 0
+
+Convert the decimal number 14 to hex.
+Answer: E
+
+Convert the decimal number 386 to hex.
+Answer: 11E
+
+Convert the hex number 386 to decimal.
+Answer: 902
+
+Convert the hex number B to decimal.Do not use any tools or programming to solve these problems. Work it out yourself by hand, and fill in the answers.
+
+Do not convert any binary numbers to decimal when solving a question unless the question explicitly tells you to.
+
+The goal of these exercises is for you to gain an intuition for binary numbers. Using tools to solve the problems defeats the point.
+
 Convert the decimal number 14 to binary.
 Answer:
 
@@ -63,3 +111,20 @@ Answer:
 
 If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
 Answer:
+
+Answer: 11
+
+If reading the byte 0x21 as a number, what decimal number would it mean?
+Answer: 33
+
+If reading the byte 0x21 as an ASCII character, what character would it mean?
+Answer: !
+
+If reading the byte 0x21 as a greyscale colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
+Answer:
+
+If reading the bytes 0xAA00FF as an RGB colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
+Answer: purple but I found the answer on google not from the PDF.
+
+If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
+Answer:170 0 255