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JAMB Mathematics 2022 Paper

Question : 26

Total: 39

_{2}

in base 10 is?

Solution:

Using the expansion method on (10110.011) $_{2}$

(1 * 2 $^{4}$ ) + (0 * 2 $^{3}$ ) + (1 * 2 $^{2}$ ) + (1 * 2 $^{1}$ ) (0 * 2 $^{0}$ ) + (0 * 2 $^{-1}$ ) + (1 * 2 $^{-2}$ ) + (1 * 2 $^{-3}$ )

(1*16) + 0 (1*4) + (1*2) + 0 + 0 + (1* $\frac{1}{4}$ ) + (1* $\frac{1}{8}$ )

16 + 4 + 2 + (0.25 + 0.125)

22 + 0.375

(10110.011) $_{2}$ = 22.375 $_{10}$

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