passpadi

2015

Mathematics

POST UTME

Convert 10110two10110_{two} to a number in base ten

A.

21

B.

22

C.

23

D.

24

Correct Answer: 22

Explanation

To convert

10110210110_2  to base 10

==>==>  140312110201^40^31^21^10^0_2

=1×24+0+1×2+0= 1 \times 2^4 + 0 + 1 \times 2 + 0

=16+4+2=2210= 16 + 4 + 2 = 22_{10}

To convert

10110210110_2  to base 10

==>==>  140312110201^40^31^21^10^0_2

=1×24+0+1×2+0= 1 \times 2^4 + 0 + 1 \times 2 + 0

=16+4+2=2210= 16 + 4 + 2 = 22_{10}

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