(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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