JAMB - Mathematics (1979 - No. 7)
In base ten, the number 101101 (base 2) equals
15
4
45
32
90
설명
(101101)2 \(\begin{array}{c|c} 2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^o\\ \hline 1 & 0 & 1 & 1 & 0 & 1\end{array}\)
= 1 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 0 x 21 + 1 x 2o
= 32 + 0 + 8 + 4 + 0 + 1
= (45)\(_{10}\)
= 1 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 0 x 21 + 1 x 2o
= 32 + 0 + 8 + 4 + 0 + 1
= (45)\(_{10}\)