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Previous Year Question (PYQs)



The multiplication of the following two binary numbers $1100$ and $1011$ in binary notation is:





Solution

First convert both binary numbers into decimal.

$1100_2=12$

$1011_2=11$

Now multiply:

$12\times 11=132$

Convert $132$ into binary:

$132=128+4$

$128=2^7$ and $4=2^2$

So,

$132=10000100_2$

Therefore,

$1100_2\times 1011_2=10000100_2$



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