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NW|26-JUI-SDC|Ahmad Hmedan|Sprint 1 | number-system #560

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11a7abc
number-systems done
AhmadHmedann Jul 8, 2026
d615176
fix ff = 255
AhmadHmedann Jul 8, 2026
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30 changes: 15 additions & 15 deletions number-systems/Part-1.md
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Expand Up @@ -8,47 +8,47 @@ The answers to these questions should be a number, either in binary, hex, or dec

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

1110
Q2: Convert the binary number 101101 to decimal:
Answer:

45
Q3: Which is larger: 1000 or 0111?
Answer:

1000
Q4: Which is larger: 00100 or 01011?
Answer:

01011
Q5: What is 10101 + 01010?
Answer:

11111
Q6: What is 10001 + 10001?
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:

15
Q8: How many bits would you need in order to store the numbers between 0 and 255 inclusive?
Answer:

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

2 bits
Q10: How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
Answer:

10 bits
Q11: Convert the decimal number 14 to hex.
Answer:
E
Q12: Convert the decimal number 386 to hex.
Answer:

182
Q13: Convert the hex number 386 to decimal.
Answer:

902
Q14: Convert the hex number B to decimal.
Answer:

11
Q15: If reading the byte 0x21 as a number, what decimal number would it mean?
Answer:

33
Q16: Continues in Part-2
8 changes: 5 additions & 3 deletions number-systems/Part-2.md
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Expand Up @@ -8,15 +8,17 @@ The answers to these questions will require a bit of explanation, not just a sim

Q16: How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
Answer:
A binary number is a power of two if it contains exactly one 1 bit.

Q17: If reading the byte 0x21 as an ASCII character, what character would it mean?
Answer:

!
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:

Dark grey (so close to black)
Q19: If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
Answer:

170 0 255
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:
A bright purple
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