ITPEC IP April 2021 Question 3
ITPEC IP April 2021 — Question 3 of 100
Multiplying binary 10110 by 3 gives 1000010. Binary 10110 equals decimal 22. Then 22 × 3 = 66, and 66 is 64 + 2, so its binary representation has 1s in the 2⁶ and 2¹ positions: 1000010. Equivalently, 3x = 2x + x, so 10110 shifted left plus 10110 produces the same result.
Answer (c)
Why not others:
- 111010 is 58
- 111110 is 62
- 10110000 is 176
Key rule: Verify binary arithmetic by converting place values or by using shift-and-add multiplication.
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