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If \(M5_{ten} = 1001011_{two}\) find the value of M

Mathematics
WAEC 2002

If \(M5_{ten} = 1001011_{two}\) find the value of M
  • A. 5
  • B. 6
  • C. 7
  • D. 8
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Correct Answer: Option C
Explanation
\(M5_{ten} = 1001011_{two}\\
=1 \times 2^6 + 0\times 2^5 + 0\times 2^4 + 1\times 2^3 + 0\times 2^2 + 1\times 2^1 \\
=64+8+2+1=75_{ten}\\
∴ m = 7 \)

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