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Binary Adding, Subtraction, Multiplicaton and Division

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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)

Examples - Adding Binary and Decimal Numbers

Adding Binary and Decimal Numbers
DecimalBinary
1 5
+ 6
= 11		 101
+ 110
= 1011
2 6
+ 6
= 12		 110
+ 110
= 1100
3 15
+ 20
= 35		 1111
+ 10100
= 100011
4 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)

Examples - Subtracting Binary and Decimal Numbers

Subtracting Binary and Decimal Numbers
DecimalBinary
1 9
- 5
= 4		 1001
- 101
= 0100
2 16
- 3
= 13		 10000
- 11
= 01101
3 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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Related Topics

• Mathematics

Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

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Decimal System Prefixes

Prefix names used for multiples and submultiples units.

Prefixes for Binary Multiplies

IEC International Standard names and symbols

Scientific Calculator

Online scientific calculator.

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SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

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