Question

What's the largest eight-digit base 2 integer? Express your answer in base 10.

Answer 1

Answer:1111111

Explanation:

The largest eight-digit base 2 integer is 11111111

Answer 2

`11111111_(2) =255_(10)`

Explanation:

The largest eight-digit base 2 integer is 11111111.

`\begin{array}{rcr}1* 2^(7) & = & 128\\1* 2^(6) & = & 64\\1* 2^(5) & = & 32\\1* 2^(4) & = & 16\\1* 2^(3) & = & 8\\1* 2^(2) & = & 4\\1* 2^(1) & = & 2\\1* 2^(0) & = & 1\\\mathbf{11111111_(2)} & = & \mathbf{255_(10)}\\\end{array}`