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Number Representation and Floating Point

Shifts, overflow and underflow

  • 3 things to know
  • A2 Unit 4

Overview

Logical shift, arithmetic shift and circular shift.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Process

Describe the kinds of shift a processor can perform and what each does to the bits moved out and in.

Key term

What is a logical shift?

Key term

Apply a logical shift left of two places to 00000110 and give the denary result.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a logical shift?

    Model answer

    A shift in which bits are moved and the vacated positions are filled with zeros, the bits shifted out being lost.

  2. 2

    What is the effect of a logical shift left by one place?

    Model answer

    It multiplies an unsigned value by two.

  3. 3

    What is the effect of a logical shift right by one place?

    Model answer

    It divides an unsigned value by two, discarding any remainder.

  4. 4

    Apply a logical shift left of two places to 00000110 and give the denary result.

    Model answer

    00011000, which is 24.

  5. 5

    Apply a logical shift right of one place to 00001010 and give the denary result.

    Model answer

    00000101, which is 5.

  6. 6

    What is an arithmetic shift?

    Model answer

    A shift that preserves the sign bit, so that a signed value keeps its sign when shifted right.

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