ITPEC IP April 2020 Question 2

Source exam: ITPEC IP April 2020Topic: Basic Theory

ITPEC IP April 2020 — Question 2 of 100

The binary product is 110111. Binary 1011 is decimal 11 and binary 101 is decimal 5, so the product is 55. Decomposing 55 gives 32 + 16 + 4 + 2 + 1, which sets the bits 110111.

Answer (d)

Why not others:
- 1111 is 15

- 10000 is 16

- 101111 is 47

- none equals the required product 55

Key rule: Binary multiplication can be performed with shifted partial products or by converting the operands and result through powers of two.

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