How do i convert base 2 to base 10 i lost my example and i forgot ? anyone plz help and if you did thank you :D

Silstar
Oct 26, 2017

#2**+2 **

Here's a fast way ....we multiply by the base and add the next digit.....etc.

Suppose we have

1011_{2}

Multiply the leading "1" by 2 and add the next digit ⇒ 2 * 1 + 0 = 2

Multiply this result by 2 and add the next digit ⇒ 2 * 2 + 1 = 4 + 1 = 5

Multiply this result by 2 and add the final digit ⇒ 2 * 5 + 1 = 10 + 1 = 11

Verify for yourself that 1011_{2 } = 11_{10}

BTW - This method will convert any base to a base 10 number......

CPhill
Oct 26, 2017