@@ -5,62 +5,61 @@ Do not convert any binary numbers to decimal when solving a question unless the
55The goal of these exercises is for you to gain an intuition for binary numbers. Using tools to solve the problems defeats the point.
66
77Convert the decimal number 14 to binary.
8- Answer: 1110
8+ Answer:
99
1010Convert the binary number 101101 to decimal:
11- Answer: 45
11+ Answer:
1212
1313Which is larger: 1000 or 0111?
14- Answer: 1000
14+ Answer:
1515
1616Which is larger: 00100 or 01011?
17- Answer: 01011
17+ Answer:
1818
1919What is 10101 + 01010?
20- Answer: 11111
20+ Answer:
2121
2222What is 10001 + 10001?
23- Answer:100010
23+ Answer:
2424
2525What's the largest number you can store with 4 bits, if you want to be able to represent the number 0?
26- Answer: 1111 = 15 (largest representable number)
27- Number of possible values including 0 = 16
26+ Answer:
2827
2928How many bits would you need in order to store the numbers between 0 and 255 inclusive?
30- Answer: 8 bits
29+ Answer:
3130
3231How many bits would you need in order to store the numbers between 0 and 3 inclusive?
33- Answer: 2 bits => 00, 01, 10, 11
32+ Answer:
3433
3534How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
36- Answer: 10 bits
35+ Answer:
3736
3837How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
39- Answer: Been a binary it would be 1 followed by 0s => 100, 10000, 10
38+ Answer:
4039
4140Convert the decimal number 14 to hex.
42- Answer:0xE
41+ Answer:
4342
4443Convert the decimal number 386 to hex.
45- Answer: 0x182
44+ Answer:
4645
4746Convert the hex number 386 to decimal.
48- Answer: 902
47+ Answer:
4948
5049Convert the hex number B to decimal.
51- Answer:11
50+ Answer:
5251
5352If reading the byte 0x21 as a number, what decimal number would it mean?
54- Answer:33
53+ Answer:
5554
5655If reading the byte 0x21 as an ASCII character, what character would it mean?
57- Answer:!
56+ Answer:
5857
5958If reading the byte 0x21 as a greyscale colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
60- Answer: Dark Grey
59+ Answer:
6160
6261If reading the bytes 0xAA00FF as an RGB colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
63- Answer: Purple (magenta)
62+ Answer:
6463
6564If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
66- Answer: 170 0 255
65+ Answer:
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