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Data, Information and Data Representation

Converting binary to decimal

  • 3 things to know
  • AS Unit 2

Overview

Reading the place values of an eight-bit pattern and adding those that are set, with worked conversions, the effect of adding a 0 to the right, and checking an answer by converting it back.

What you need to know

Answer each one before you reveal it.

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Key term

Describe how to convert an 8-bit binary number to denary.

Key term

Convert 10110101 to denary.

Key term

What is 01011010 in denary?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Describe how to convert an 8-bit binary number to denary.

    Model answer

    The place values 128, 64, 32, 16, 8, 4, 2 and 1 are written above the eight bits, and the place values standing above a 1 are added together.

  2. 2

    Convert 10110101 to denary.

    Model answer

    The pattern 10110101 is 181, because 128 plus 32 plus 16 plus 4 plus 1 comes to 181.

  3. 3

    What is 01011010 in denary?

    Model answer

    The pattern 01011010 is 90, because 64 plus 16 plus 8 plus 2 comes to 90.

  4. 4

    Convert 11110000 to denary.

    Model answer

    The pattern 11110000 is 240, because 128 plus 64 plus 32 plus 16 comes to 240.

  5. 5

    What is 00111001 in denary?

    Model answer

    The pattern 00111001 is 57, because 32 plus 16 plus 8 plus 1 comes to 57.

  6. 6

    Convert 11001100 to denary.

    Model answer

    The pattern 11001100 is 204, because 128 plus 64 plus 8 plus 4 comes to 204.

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ANormal data is 12, which should be accepted.
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One byte is made up of 8 bits.
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