Title: Converting Binary (Base 2) to Decimal (Base 10)
Course: CPS 120: Introduction to Computer Science ~ Master (Aug/2015) OLD > Section: Learning Units

Converting Binary to Decimal – Decimal Weights, Binary Digits of Binary 1011

Positional Weights for Binary Numbering System (Base = 2)
Position | … | 3 | 2 | 1 | 0.
Weights (decimal) | … | 2^3 or 8 | 2^2 or 4 | 2^1 or 2 | 2^0 or 1
Digits (binary) |  | 1 | 0 | 1 | 1.
 |  | 1 x 2^3 + | 0 x 2^2 + | 1 x 2^1 + | 1 x 2^0
 |  | 1 x 8 + | 0 x 4 + | 1 x 2 + | 1 x 1
 |  | 8 + | 0 + | 2 + | 1
Sum of Decimal Weights * Binary Digits = 11
So Binary 1011 Equals Decimal 11