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Birmingham | 2026-Jul-sdc | Roman Sanaye | Sprint 1 | Number Systems #549

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Birmingham | 2026-Jul-sdc | Roman Sanaye | Sprint 1 | Number Systems #549

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part 1 is done
RomanSanaye Jul 3, 2026
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part 2 is completed
RomanSanaye Jul 3, 2026
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30 changes: 15 additions & 15 deletions number-systems/Part-1.md
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Expand Up @@ -7,46 +7,46 @@ 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 ==> 1>0 compare from left;

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: 10001 = 17 + 17 = 34 decimal = 100010 binary

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: 2 to the power of 8 = 256 so 255 is in range of 256 and the answer is -- 8 -- bit.

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

Q10: How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
Answer:
Answer: -- 10 -- bit.

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:
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11 changes: 6 additions & 5 deletions number-systems/Part-2.md
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Expand Up @@ -7,16 +7,17 @@ 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: A power of two in binary always has only one 1.

Q17: If reading the byte 0x21 as an ASCII character, what character would it mean?
Answer:
Answer: In the ASCII table 0x21 is !.

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: 0x21 = 2 \*16 + 1 = 33 decimal => darkgray => 0 black - 255 white;

Q19: If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
Answer:
Answer: splitting the memory into 3 separate 8-bit values ==> AA 00 FF ==>
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:
Answer: strong blue + some red ==> RGB(170, 0, 255)
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