What is the value of product of (10110)₂ and (10011)₂?

2021

What is the value of product of (10110)₂ and (10011)₂?

  1. A.

    (11011010)₂

  2. B.

    (110100010)₂

  3. C.

    (110100001)₂

  4. D.

    (110100100)₂

Attempted by 63 students.

Show answer & explanation

Correct answer: B

First, convert the binary numbers to decimal:

(10110)2=16+4+2=22

(10011)2=16+2+1=19

Now multiply:

22×19=418

Convert 418 back to binary:

418=256+128+32+2

418=(110100010)2

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