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Data, Information and Data Representation

How many values a given number of bits can hold

  • 3 things to know
  • AS Unit 2

Overview

Why n bits give two to the power of n patterns, working out how many bits a given number of categories needs, and the range a fixed number of bits can represent.

What you need to know

Answer each one before you reveal it.

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Numbers

How many different values can be represented with 1 bit?

Numbers

How many different values can be represented with 2 bits?

Numbers

How many different values can be represented with 3 bits?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How many different values can be represented with 1 bit?

    Model answer

    One bit can represent 2 different values, 0 and 1.

  2. 2

    How many different values can be represented with 2 bits?

    Model answer

    Two bits can represent 4 different values, written as 00, 01, 10 and 11.

  3. 3

    How many different values can be represented with 3 bits?

    Model answer

    Three bits can represent 8 different values.

  4. 4

    State the rule linking the number of bits to the number of values that can be represented.

    Model answer

    The number of different values is 2 raised to the power of the number of bits, so n bits give the result of multiplying two by itself n times.

  5. 5

    How many different values can be represented with 8 bits?

    Model answer

    Eight bits can represent 256 different values.

  6. 6

    If 8 bits are used for positive whole numbers starting at zero, what is the largest value that can be held?

    Model answer

    The largest value is 255, because the 256 available patterns run from 0 up to 255.

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One byte is made up of 8 bits.
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