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Number Representation and Floating Point

Two's complement

  • 3 things to know
  • A2 Unit 4

Overview

Recall questions on invert-and-add-one, representing −5 and −100, reading 11111011 and 11010110, the 8-bit and 16-bit ranges, why the negative range is one larger, the negative place value of the top bit, subtraction, and sign extension.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

State the method for finding the two's complement of a binary number.

Key term

State the range of an 8-bit two's complement number.

Key term

State the range of a 16-bit two's complement number.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the method for finding the two's complement of a binary number.

    Model answer

    Invert every bit and then add one.

  2. 2

    Find the 8-bit two's complement representation of −5.

    Model answer

    11111011.

  3. 3

    What denary value does 11111011 hold in 8-bit two's complement?

    Model answer

    −5.

  4. 4

    State the range of an 8-bit two's complement number.

    Model answer

    −128 to +127.

  5. 5

    Why is the negative range one larger than the positive?

    Model answer

    There is only one representation of zero, so the spare pattern 10000000 is used for −128.

  6. 6

    What is the place value of the most significant bit in 8-bit two's complement?

    Model answer

    −128.

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