Difficulty: Easy
Correct Answer: 99₁₀
Explanation:
Introduction / Context:Octal (base-8) numbers arise historically from grouping binary digits in sets of three. Converting octal to decimal reinforces positional-value understanding and prepares you for quick binary conversions as well.
Given Data / Assumptions:
Concept / Approach:
Step-by-Step Solution:
143₈ = 18^2 + 48^1 + 38^0.Compute: 164 = 64; 48 = 32; 3*1 = 3.Sum: 64 + 32 + 3 = 99.Verification / Alternative check:
Convert 143₈ → binary quickly: 1→001, 4→100, 3→011 giving 001 100 011₂ = 1100011₂ which equals 64 + 32 + 3 = 99₁₀.Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
99₁₀
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