Decimal to Binary Converter

This tool will help you to convert Decimal values to Binary values.


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What is Decimal

The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) 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. The way of denoting numbers in the decimal system is often referred to as decimal notation.

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).

The binary system is used by almost all modern computers and computer-based devices.

Converting from Decimal to Binary

To convert a Decimal to a Binary, you should follow the following steps:

First, you must divide the decimal value by 2.

Second, take the remains.

Repeat the first step.

Repeat the seconde step, but put the remains on the left of the first remains.

Keep doing that.

Example:

(13)10 = 13/2 = 6 and remains 1
6/2 = 3 and remains 0
3/2 = 1 and remains 1
1/2 = 0 and remains 1
Take all the remians and put them in order from right to left.
(13)10 = (1101)2


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