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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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