Question on: JAMB Mathematics - 2022
Evaluate \((101_{two})^3\)
A
\(111101_{two}\)
B
\(11111101_{two}\)
C
\(1111101_{two}\)
D
\(11001_{two}\)
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Correct Option: C
1. Convert the binary number \\(101\_{two}\\) to decimal:
\\(101\_{two} = 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 4 + 0 + 1 = 5\\)
2. Cube the decimal equivalent:
\\(5^3 = 5 \times 5 \times 5 = 125\\)
3. Convert the result (125) back to binary.
* \\(125 \div 2 = 62\\) remainder 1
* \\(62 \div 2 = 31\\) remainder 0
*
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