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Number Representation and Floating Point

Binary arithmetic

  • 3 things to know
  • A2 Unit 4

Overview

Recall questions on the four rules of binary addition and the carry, worked 8-bit additions, converting between binary, denary and hexadecimal, subtraction by two's complement, and multiplication and division by shifting.

What you need to know

Answer each one before you reveal it.

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Key term

State the four rules of binary addition for a single column.

Key term

What is the result of adding 1 + 1 + 1 in one column?

Key term

Why is hexadecimal used as shorthand for binary?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the four rules of binary addition for a single column.

    Model answer

    0+0 = 0, 0+1 = 1, 1+0 = 1, and 1+1 = 0 with a carry of 1 into the next column.

  2. 2

    What is the result of adding 1 + 1 + 1 in one column?

    Model answer

    1, with a carry of 1 into the next column.

  3. 3

    Add the 8-bit values 00101101 and 00010011.

    Model answer

    01000000.

  4. 4

    Add the 8-bit values 01011010 and 00100110.

    Model answer

    10000000.

  5. 5

    Convert 10110110₂ to denary.

    Model answer

    182.

  6. 6

    Convert 213 to an 8-bit binary value.

    Model answer

    11010101.

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