multiply the following brinary number. 101×011
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the answer is 1111.
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Answer:
Multiplication of Binary number 101 × 011
Explanation:
To do multiplication we need to know rules of multiplication and addition
RULES OF MULTIPLICATION:
- when we multiply 0 and 1 we get 0
- when we multiply 0 and 0 we get 0
- when we multiply 1 and 0 we get 0
- when we multiply 1 and 1 we get 1
RULES OF ADDITION:
- When we add 0 and 1 we get 1
- When we add 1 and 0 we get 1
- When we add 1 and 1 we get 1
- When we add 0 and 0 we get 0
Given,
Binary number are 101 and 011
101
× 011
----------
101
101. First intermediate sum
----------
1111
000. second intermediate sum
-------------
1111. Final sum
Hence,
The multiplication of Binary numbers 101 and 011 is 1111.
If we convert this binary number into decimal number we get 15
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