Simplify: (11\(_{two}\))\(^2\)
A
1001\(_2\)
B
1101\(_2\)
C
101\(_2\)
D
10001\(_2\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
(11\(_{two}\))\(^2\) = (11\(_2\) \(\times\) (11\(_2\))
= \({1 \times 2^1 + 1 \times 2^0} \times ({1 \times 2^1 + 1 \times 2^0})\)
= \({1 \times 2 + 1 \times 1} \times ({1 \times 2 + 1 \times 1})\)
= \({2 + 1} \times ({2 + 1})\)
= 3 \(\times\) 3
= 9\(_{10}\) or
1001\(_2\) from
2
9
2
4 r1
2
2 r0
2
1 r0
0 r1
Source: WAEC / JAMB / NECO Classroom Archive (Record #61138)