To multiply binary numbers, refer to the single bit multiplication table that lists the possible products of multiplying 0 and 1. Multiply each bit in the first number by each bit in the second number and combine the results to get the final product. For example, multiplying 1101 by 0111 using this method results in a product of 1001.

1. 11
Binary MultiplicationBinary Multiplication

2. Binary MultiplicationBinary Multiplication
RulesRules
The rules for performing multiplicationThe rules for performing multiplication
using binary numbers. the given tableusing binary numbers. the given table
illustrates the multiplication of two binaryillustrates the multiplication of two binary
digits.digits.
22

3. 33
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 numbersMultiply the following binary numbers
1 1 0 1
x 0 1 1 1

5. 55
SolutionSolution
Multiply the following binary numbersMultiply 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

6. 55
SolutionSolution
Multiply the following binary numbersMultiply 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