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London | SDC-MARC-2026| Jamal Laqdiem | Sprint 1| Number Systems #339

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London | SDC-MARC-2026| Jamal Laqdiem | Sprint 1| Number Systems #339

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COmpleting exercises about bit , decimal and hexadecimal logic.
jamallaqdiem Mar 9, 2026
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Updating and addressing the issues.
jamallaqdiem Mar 14, 2026
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49 changes: 28 additions & 21 deletions number-systems/README.md
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Expand Up @@ -6,60 +6,67 @@ The goal of these exercises is for you to gain an intuition for binary numbers.

Convert the decimal number 14 to binary.
Answer:

1110
Convert the binary number 101101 to decimal:
Answer:

45
Which is larger: 1000 or 0111?
Answer:

1000 = 8
0111 = 7
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@DaryaShirokova DaryaShirokova Mar 14, 2026

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While it is correct, the module asks to not translate to decimal unless specified explicitly. Maybe think of an alternative way to arrive to this conclusion?

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@jamallaqdiem jamallaqdiem Mar 14, 2026

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Thank you for taking time to reviewing. I will address the issue.

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

00100 = 4
01011 = 11
01011 is larger
What is 10101 + 01010?
Answer:

10101 = 21
01010 = 10
21+10 = 31
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@DaryaShirokova DaryaShirokova Mar 14, 2026

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Can you do binary arithmetic here and in other questions as well? Not saying it is wrong, but the goal here is to get used to doing operations in a different system, not translate everything to decimal.

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@jamallaqdiem jamallaqdiem Mar 14, 2026

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Thank you for taking time to reviewing. I will address the issue.

What is 10001 + 10001?
Answer:

10001 = 17
17+ 17 = 34
What's the largest number you can store with 4 bits, if you want to be able to represent the number 0?
Answer:

1111 = 15
How many bits would you need in order to store the numbers between 0 and 255 inclusive?
Answer:

11111111 = 8 bits
How many bits would you need in order to store the numbers between 0 and 3 inclusive?
Answer:

11 = 2 bits
How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
Answer:

1111101000 = 10 bits = 1024
How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
Answer:

if the bit have only '1' in it, means i'ts a power of two, if have multiple '1' that's not.
Convert the decimal number 14 to hex.
Answer:
Answer: E

Convert the decimal number 386 to hex.
Answer:
Answer: 0x182

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

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

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

33
If reading the byte 0x21 as an ASCII character, what character would it mean?
Answer:
Answer: 0x21 = "!"

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:Dark Grey

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: Purple

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
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