How to Convert from Binary to Decimal

We use the decimal numeral system in our daily life, which is based on 10 numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The binary numeral system, however, is based on 2 numbers: 0 and 1.

In the binary system, each digit represents an increasing power of 2 from 2⁰, 2¹, 2²…. and so on. Please refer to the table below to convert a binary number into the decimal number, or please check here to convert decimal to binary.

Example 1: 01001111

01001111 = [ ( 0 ) × 2⁷ ] + [ ( 1 ) × 2⁶ ] + [ ( 0 ) × 2⁵ ] + [ ( 0 ) × 2⁴ ] + [ ( 1 ) × 2³ ] + [ ( 1 ) × 2² ] + [ ( 1 ) × 2¹ ] + [ ( 1 ) × 2⁰ ]

01001111 = 0 + 64 + 0 + 0 + 8 + 4 + 2 + 1 = 79

Example 2: 10010000

10010000 = [ ( 1 ) × 2⁷ ] + [ ( 0 ) × 2⁶ ] + [ ( 0 ) × 2⁵ ] + [ ( 1 ) × 2⁴ ] + [ (0 ) × 2³ ] + [ ( 0 ) × 2² ] + [ ( 0 ) × 2¹ ] + [ ( 0 ) × 2⁰ ]

10010000 = 128 + 0 + 0 + 16 + 0 + 0 + 0 + 0 = 144

The following is the Binary to Decimal Conversion Table from 1 to 255: