Binary to decimal

Binary to decimal Converter

How to convert binary to decimal
For binary number with n digits:
dn-1 ... d3 d2 d1 d0
The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
decimal = d0×20 + d1×21 + d2×22 + ...

What is a Binary System

A binary system uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers as 0 and 1 only 2 numbers (Binary).
A binary system is the the whole base of electronics.To understand ddata and to proceed it, first you need to understand what is binary. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers.

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The Decimal Numbering System:

In the decimal, base-10 (den) or denary numbering system, each integer number column has values of units, tens, hundreds, thousands, etc as we move along the number from right to left. Mathematically these values are written as 100, 101, 102, 103 etc. Then each position to the left of the decimal point indicates an increased positive power of 10. Likewise, for fractional numbers the weight of the number becomes more negative as we move from left to right, 10-1, 10-2, 10-3 etc. Source: Electronics Tutorial

Binary Number Names & Prefixes

Binary numbers can be added together and subtracted just like decimal numbers with the result being combined into one of several size ranges depending upon the number of bits being used. Binary numbers come in three basic forms – a bit, a byte and a word, where a bit is a single binary digit, a byte is eight binary digits, and a word is 16 binary digits.