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Computer Architecture: Data representation and binary arithmetic · Binary and Hexadecimal Numbers

How computers write numbers in binary, why programmers read them in hexadecimal, and how to move between the bases.

Computer Architecture · 24 questions

Try 3 questions

1. Why do digital computers store information in binary rather than in decimal?

  1. Binary numbers take less memory than decimal
  2. Two voltage levels are easy to tell apart
  3. Base two was proven the fastest to compute
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Answer: Two voltage levels are easy to tell apart

A circuit only has to distinguish 'high' from 'low', which stays reliable despite electrical noise; ten distinct levels would be far more error-prone.

2. What is the decimal value of the binary number 1011?

  1. 9
  2. 13
  3. 11
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Answer: 11

The bits are worth 8, 4, 2 and 1 from left to right, so 1011 is 8 + 0 + 2 + 1 = 11.

3. How many different values can a group of 8 bits represent?

  1. 128
  2. 255
  3. 256
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Answer: 256

Each bit doubles the possibilities, so 8 bits give 2 to the 8th, or 256 patterns (0 to 255).

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