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Binary Adding, Subtraction, Multiplicaton and Division

Adding, subtracting, multiplying and dividing binary numbers

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A binary signal or number is one that can take only one value: 1 or 0 -or on or off.

Addition Binary Numbers

Rule to follow when binary numbers are added:

  • 0 + 0 = 0
  • 0 + 1 = 1
  • 1 + 0 = 1
  • 1 + 1 = 0 (with a carry of 1)

Example - Adding Binary and Decimal Numbers

DecimalBinary
5
+ 6
= 11
101
+ 110
= 1011
15
+ 20
= 35
1111
+ 10100
= 100011
3.25
+ 5.75
= 9.00
11.01
+ 101.11
= 1001.00

Subtracting Binary Numbers

Rule to follow when binary numbers are subtracted:

  • 0 - 0 = 0
  • 1 - 0 = 1
  • 1 - 1 = 0
  • 0 - 1 = 1 (with a borrow of 1)

Example - Subtracting Binary and Decimal Numbers

DecimalBinary
9
- 5
= 4
1001
- 101
= 0100
16
- 3
= 13
10000
- 11
= 01101
6.25
- 4.50
= 1.75
110.01
- 100.10
= 001.11

Multiplication of Binary Numbers

Rule to follow when binary numbers are multiplied:

  • 0 x 0 = 0
  • 0 x 1 = 0
  • 1 x 0 = 0
  • 1 x 1 = 1

Division of Binary Numbers

Rule to follow when binary numbers are divided:

  • 0 / 1 = 0
  • 1 / 1 = 1
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  • Engineering ToolBox, (2018). Binary Adding, Subtraction, Multiplicaton and Division. [online] Available at: https://www.engineeringtoolbox.com/binary-numbers-adding-substraction-multiplication-division-d_2100.html [Accessed Day Mo. Year].

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