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If `(11101011)_(2)` is converted decimal system, then the resulting number is

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If `(11101011)_(2)` is converted decimal system, then the resulting number is
A. 235
B. 175
C. 160
D. 126
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1 Answer

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Correct Answer - A
`(11101011)_(2)`
`=(1xx2^(7)+1xx2^(6)+1xx2^(5)+0xx2^(4)+1xx2^(3)+0xx2^(2)+1xx2^(1)+1xx2^(0))_(10)`
`=(128+64+32+8+2+1)_(10)=(235)_(10)`
`therefore` Option (a) is correct.
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