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Glasgow | 26-Jul-SDC | Mirabelle Morah | Sprint 1 | Number systems #552

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Glasgow | 26-Jul-SDC | Mirabelle Morah | Sprint 1 | Number systems #552

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074d5a3
still correcting
mirabellemorah Jul 5, 2026
b61ae9c
part 1 and 2 done
mirabellemorah Jul 5, 2026
fc73a66
Additional explanation given to ASCII
mirabellemorah Jul 5, 2026
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30 changes: 15 additions & 15 deletions number-systems/Part-1.md
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Expand Up @@ -7,48 +7,48 @@ The goal of these exercises is for you to gain an intuition for binary numbers.
The answers to these questions should be a number, either in binary, hex, or decimal.

Q1: Convert the decimal number 14 to binary.
Answer:
Answer: 1110

Q2: Convert the binary number 101101 to decimal:
Answer:
Answer:45

Q3: Which is larger: 1000 or 0111?
Answer:
Answer: 1000

Q4: Which is larger: 00100 or 01011?
Answer:
Answer: 01011

Q5: What is 10101 + 01010?
Answer:
Answer: 11111

Q6: What is 10001 + 10001?
Answer:
Answer:100010

Q7: What's the largest number you can store with 4 bits, if you want to be able to represent the number 0?
Answer:
Answer: 15

Q8: How many bits would you need in order to store the numbers between 0 and 255 inclusive?
Answer:
Answer: 8 bits

Q9: How many bits would you need in order to store the numbers between 0 and 3 inclusive?
Answer:
Answer: 2 bits

Q10: How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
Answer:
Answer: 10 bits with a remainder of 23

Q11: Convert the decimal number 14 to hex.
Answer:
Answer: E

Q12: Convert the decimal number 386 to hex.
Answer:
Answer: 182

Q13: Convert the hex number 386 to decimal.
Answer:
Answer: 902

Q14: Convert the hex number B to decimal.
Answer:
Answer: 11

Q15: If reading the byte 0x21 as a number, what decimal number would it mean?
Answer:
Answer: 33

Q16: Continues in Part-2
10 changes: 5 additions & 5 deletions number-systems/Part-2.md
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Expand Up @@ -7,16 +7,16 @@ The goal of these exercises is for you to gain an intuition for binary numbers.
The answers to these questions will require a bit of explanation, not just a simple answer.

Q16: How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
Answer:
Answer: if the number has a single 1 (eg 001000) then it is to the power of two. If it has more 1s (eg 100100) then it is not to the power of two

Q17: If reading the byte 0x21 as an ASCII character, what character would it mean?
Answer:
Answer: it gives: ! (first changes it to decimal before mapping it to ASCII corresponding character)

Q18: If reading the byte 0x21 as a greyscale colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
Answer:
Answer: it would be a dark grey color

Q19: If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
Answer:
Answer: a neon purple

Q20: If reading the bytes 0xAA00FF as an RGB colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
Answer:
Answer: 170, 0, 255
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