The equivalent of (10110.011) 2 in base 10 is?
MATHEMATICS
JAMB 2022
The equivalent of (10110.011)2 in base 10 is?
- A. 26.325
- B. 24.372
- C. 42.443
- D. 22.375
Correct Answer: D. 22.375
Explanation
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\(_{10}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *