# Binary to Decimal Converter

This tool will help you to convert binary values to decimal values.

# What is Binary

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" (zero) and "1" (one).

# What is Decimal

A decimal numeral, or just decimal, or casually decimal number, refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified for containing a decimal separator (for example the "." in 10.00 or 3.14159). "Decimal" may also refer specifically to the digits after the decimal separator, such as in "3.14 is the approximation of π to two decimals".

# Converting from Binary to Decimal

Let us assume we have a binary number with n digits:
dn-1 ... d3 d2 d1 d0
The decimal number is equal to the sum of binary digits where each digit is multiplied by 2 to the power of (the digit order). We start counting digit order from the right and from 0:
decimal = d0×(2^0) + d1×(2^1) + d2×(2^2) + ...

###### Example:

(101110)16 = 1x(2^5) + 0x(2^4) + 1x(2^3) + 1x(2^2) + 1x(2^1) + 0x(2^0) =
32 + 0 + 8 + 4 + 2 + 0 = (46)10

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