Question

Convert binary number 11101111.10111 to decimal

Answer 1

`N_(10)=239.71875`

Step-by-step 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`