A. 110011_{2}

B. 100011_{2}

C. 111100_{2}

D. 000101_{2}

### Check Answer

To multiply 111₂ by 101₂, we can use the standard multiplication algorithm taught in elementary school, where we multiply each digit of the second number by each digit of the first number and add up the results:

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`111₂`

× 101₂

111₂

00000

+111000

= 100011₂

Therefore, the correct answer is **B) 100011₂**.