Binary to Decimal Converter

In this example, we will convert a positive binary number (101) to a decimal number (5).

101 (binary) = 5 (decimal)

Note: Count always starts from '0'.

In this example, we will convert a negative integer binary number (-1011) to a decimal number (-11).

-1011 (binary) = -11 (decimal)

Note: Count always starts from '0'.

Explanation: For negative integer binary to decimal number, proceed the steps as same as positive integer binary to decimal number and finally multiply the output by '-1'.

In this example, we will convert a fractional binary number (10.1011) to a decimal number (2.6875).

Here, we have to split the fractional binary number into two parts.

1. Integer part - 10
2. Fraction part - 0.1011

Now, convert the Integer part of the given binary number (10) into a decimal number.

10 (binary) = 2 (decimal)

Note: Count always starts from '0'.

Now, convert the Fraction part of the given decimal number (0.1011) into a binary number.

0.1011 (binary) = 0.6875 (decimal)

Now, add both the results

10.1011 = 2 + 0.6875

10.1011 (binary) = 2.6875 (decimal)