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Simplify: (11 $_{two}$ ) $^2$
...

Simplify: (11 $_{two}$ ) $^2$

A.

1001 $_2$

B.

1101 $_2$

C.

101 $_2$

D.

10001 $_2$

View answer & explanation

Correct answer is A

(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

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