Question

Convert binary number 11101111.10111 to decimal

Answer 1

Answer:

$N_{10}=239.71875$

Explanation:

In order to obtain the decimal number we have to use the next formula:

$N_(10)=d*2^{(i)}\\where:\\N=real number\\d=digit\\i=position$

(The position to the right of the decimal point we will take it as negative)

Using the formula we have:

$N_{10}=(1*2^7+1*2^6+1*2^5+0*2^4+1*2^3+1*2^2+1*2^1+1*2^0+1*2^{-1}+0*2^{-2}+1*2^{-3}+1*2^{-4}+1*2^{-5})$

$N_{10}=239.71875$