ITPEC IP April 2025 Question 2
ITPEC IP April 2025 — Question 2 of 100
110111 — convert the operands or perform binary long multiplication.
Binary 1011 is decimal 11 and binary 101 is decimal 5. Their product is 11 × 5 = 55. Converting 55 back to binary gives 32 + 16 + 4 + 2 + 1, so the bits for 32, 16, 4, 2, and 1 are set: 110111. Equivalently, 1011 × 101 = 1011 + 101100 = 110111.
Answer (d)
Why not others:
- (a) 1111 is decimal 15
- (b) 10000 is decimal 16
- (c) 101111 is decimal 47
None equals the required decimal product 55.
Key rule: Binary multiplication uses shifted partial products for every 1 bit, just as decimal multiplication uses place values.
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