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Question detail

Explain why 3 bits can represent 8 different values. Give all the possible configurations.

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At a glance

Question

Type

practice

Style

Topic

Units of information

Exam-style question

Try this first

Explain why 3 bits can represent 8 different values. Give all the possible configurations.

Model answer

What a good answer should say

  • Each bit can be either 0 or 1.
  • The number of different values represented with n bits is 2^n, so 3 bits represent 2^3 = 8 different values.
  • The configurations are 000, 001, 010, 011, 100, 101, 110 and 111.

Explanation

Why this works

A complete answer identifies that each bit has two possible values, applies 2^n with n equal to 3, and lists all eight 3-bit configurations.

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