Binary number systems multiplication

mathematics

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Binary MultiplicationBinary Multiplication

2. Binary Multiplication Binary Multiplication
RulesRules
The rules for performing multiplication The rules for performing multiplication
using binary numbers. the given table using binary numbers. the given table
illustrates the multiplication of two binary illustrates the multiplication of two binary
digits.digits.
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Binary MultiplicationBinary Multiplication
•Single Bit Multiplication Table
a b a*b=c
0 0 0*0=0
0 1 0*1=0
1 0 1*0=0
1 1 1*1=1

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ExampleExample
Multiply the following binary numbers Multiply the following binary numbers
1 1 0 1
x 0 1 1 1

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SolutionSolution
Multiply the following binary numbers Multiply the following binary numbers
1 1 0 1
x 0 1 1 1
1 1 0 1
1 1 0 1 x
1 1 0 1 x x
0 0 0 0 x x x
1 0 1 1 0 1 1
Partial Products

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SolutionSolution
Multiply the following binary numbers Multiply the following binary numbers
1 1 0 1
x 0 1 1 1
1 1 0 1
1 1 0 1 x
1 1 0 1 x x
0 0 0 0 x x x
1 0 1 1 0 1 1
Partial Products