Question

Convert 1100111.01011 base two to a number in base ten.​

Answer 1

103.84375

Explanation:

First, indicate base 10 with a notation.

1100111.01011 = 1x2^6 + 1x2^5 + 0 + 0 + 1x2^2 + 1x2 + 1x2^0 +0 + 1x2^-2 + 0 + 1×2^-4 + 1×2^-5

Then, after partially solving, that will get you:

1100111.01011 = 64 + 32 + 4 + 2 + 1 + 1/2 + 1/4 + 1/16 + 1/32

Keep solving like so...

103 + 0.5 + 0.25.0.0625 + 0.03125

= 103 + 0.84375 = 103.84375

Hope this helped, I'm not the best at explaining converting bases.