Binary Adding, Subtraction, Multiplication and Division

Adding, subtracting, multiplying and dividing binary numbers. A binary signal or number is one that can take only one value: 1 or 0 -or on or off.

Binary Operations

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)

Subtraction 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)

Multiplication of Binary Numbers

Rule to follow when binary numbers are multiplied:

  • 0 × 0 = 0
  • 0 × 1 = 0
  • 1 × 0 = 0
  • 1 × 1 = 1

Division of Binary Numbers

Rule to follow when binary numbers are divided:

  • 0 / 1 = 0
  • 1 / 1 = 1
OperationDecimalBinaryResult (Decimal)Result (Binary)
Addition5 + 6101 + 110111011
Addition6 + 6110 + 110121100
Addition15 + 201111 + 1010035100011
Addition3.25 + 5.7511.01 + 101.119.001001.00
Subtraction9 - 51001 - 10140100
Subtraction16 - 310000 - 111301101
Subtraction6.25 - 4.50110.01 - 100.101.75001.11