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London | Jul-2026-SDC | Alex Jamshidi | Sprint 1 | Number Systems #550

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London | Jul-2026-SDC | Alex Jamshidi | Sprint 1 | Number Systems #550

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part 1 complete
Alex-Jamshidi Jul 4, 2026
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Alex-Jamshidi Jul 4, 2026
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32 changes: 16 additions & 16 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

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

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

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: It can be written where only one bit is represented as a 1. E.g. 1000000 or 0010000

Q17: If reading the byte 0x21 as an ASCII character, what character would it mean?
Answer:
Answer: 0x21 is a hexadecimal number which is 33 in decimal, which corresponds to "!" as an ASCII 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: In greyscale we represent the light intensity (whiteness) by a number between 0 - 255 in decimal (00 and FF in hexadecimal). A value of 0x21 would equal 33 in decimal which is close to black (approx. 1/8 of the way from black to white)

Q19: If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
Answer:
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:
Answer: This colour would be 10/15 saturated with red, no green and fully saturated with blue. This would likely be an purple colour.
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