Difficulty: Easy
Correct Answer: 1000
Explanation:
Introduction: Here we divide two unsigned 8-bit numbers and report the integer quotient. Understanding binary division and being able to cross-check quickly in decimal helps ensure correctness and avoid bit-level mistakes.Given Data / Assumptions:
Concept / Approach: Translate to decimal to validate the magnitude, then map back to binary. Alternatively, perform long division in base-2. Since 88 ÷ 11 = 8 exactly, we expect a clean binary power of two for the quotient.Step-by-Step Solution:
Step 1: Convert operands: 01011000₂ = 88, 00001011₂ = 11.Step 2: Compute 88 ÷ 11 = 8 (integer, remainder 0).Step 3: Convert 8 to binary: 8 = 2^3 ⇒ 1000₂.Step 4: Match with options: 1000 is present.Verification / Alternative check:
Binary long division corroborates a clean 1000 quotient with zero remainder since 11 × 8 = 88.Why Other Options Are Wrong:
1010 = 10 decimal; would imply 10 × 11 = 110 ≠ 88.0110 = 6 decimal; 6 × 11 = 66, too small.1110 = 14 decimal; 14 × 11 = 154, too large.Common Pitfalls:
Confusing 1010 (10) or 1110 (14) with the exact quotient.Forgetting to reconvert to binary after computing in decimal.Final Answer:
1000
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