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Authors:
Linda Null ,julia Lobur
Chapter:
Data Representation In Computer Systems
Exercise:
Exercises
Question:11 | ISBN:9780763704445 | Edition: 3

Question

11. Perform the following binary multiplications:

a) 1100

    x101

 

b) 10101

   x 111

 

c) 11010

    x1100

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Answer

a)

 

Consider the binary numbers: 1100 and 101.

The general baisc four rules of binary multiplications as:

\\ 0\times 0 = 0 \\ 0\times 1 = 0 \\ 1\times 0 = 0 \\ 1\times 1 = 1 \\

 

The following steps are the binary multiplication of given binary numbers:

\large 1100\\ \underline{ \times\ \ \101 }\\ 1100 \\ 0000\\ \underline{1100 }\\ 111100

 

The final result is 111100

 

b)

 

Consider the binary numbers: 10101and 111

The following steps are the binary multiplication of given binary numbers:

10101\\ \underline{\times\ \ \ \ \ 111}\\ \ \ 10101\\ 10101\\ 10101\\\overline{10010011}

 

The final result is 10010011

 

c)

 

Consider the binary numbers: 11010 and 1100

The following steps are the binary multiplication of given binary numbers:

11010\\ \underline{\times\ \ \ 1100}\\ \ \ 00000\\ 00000\\11010\\ 11010\\\overline{100111000}

 

The final result is 100111000

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