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London|26-JUI-SDC|Ping Wang|Sprint 1 | number-system #554

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31 changes: 16 additions & 15 deletions number-systems/Part-1.md
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Expand Up @@ -7,48 +7,49 @@ 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: 100000

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

18 changes: 11 additions & 7 deletions number-systems/Part-2.md
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Expand Up @@ -7,16 +7,20 @@ 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 binary number is a power of two if it has exactly one 1 bit and all other bits are 0. For example: 100 000 only has only 1 bit so power of two, 2⁵.
However 100 100 has two one bits so not power of two instead 2⁵+ 2²

Q17: If reading the byte 0x21 as an ASCII character, what character would it mean?
Answer:
Answer:0x21 convert to binary number: 0b0010001 which represents ! character in ASCII program

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:
Q18: If reading the byte 0x21 as a greyscale color, as described in "Approaches for Representing Colors and Images", what color would it mean?
Answer: due to that 0x00=black 0xFF=white, ox21 should be low value(33 out of 255 in decimal value) so it should be dark grey(almost dark)

Q19: If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
Answer:
Answer: AA=160(16*10+10=170),00=00, FF=255(16*15+15=255) and also two hexadecimal number is one-byte binary number, so 0xAA00FF as a sequence of three one-byte
decimal numbers are 170,0,255

Q20: If reading the bytes 0xAA00FF as an RGB color, as described in "Approaches for Representing Colors and Images", what color would it mean?
Answer: As red = 0xAA = 170,Green = 0x00 = 0,Blue = 0xFF = 255 so RGB(170, 0, 255) so it shows strong red component,no green and strong blue component.
The color should be a bright purple / magenta color.

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: