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Binary to Decimal converter

How to convert Binary to Decimal

A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.

Follow these steps to convert a binary number into decimal form:
  1. Write the powers of 2 (1, 2, 4, 8, 16, and so on) beside the binary digits from bottom to top.
  2. Multiply each digit by it's power.
  3. Add up the answers. This is the solution.
For example if the given binary number is 10010111:
DigitPowerMultiplication
1128128
0640
0320
11616
080
144
122
111
Then the decimal solution (128 + 16 + 4 + 2 + 1) is: 151
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