Which of the following decimal (base-10) values is equivalent to the binary (base-2) value 101001?

22

37

82

41

D. 41

Explanation:

101001 is in base 2.

To convert 101001 to base 10;

1*2^5+0*2^4+1*2^3+0*2^2+0*2^1+1*2^0

1*32+0*16+1*8+0*4+0*2+1*1

32+0+8+0+0+1

=41

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