» Binary Converter


Number systems

Binary converter for decimal to binary and binary to decimal conversion. Convert instantly, check binary numbers, and see the matching hexadecimal value.

Use this binary converter to switch between decimal and binary instantly, with the matching hexadecimal value shown at the same time. It is useful for decimal to binary, binary to decimal, and quick base conversion in programming, electronics, networking, and study.

This page is best for fast whole-number checks when you want to see how a decimal value is written in base 2, or when you need to turn a binary number back into standard decimal notation. The built-in hexadecimal output also helps when you compare binary and hex side by side.

\begin{align} 110_{2} &= 1\times2^{2}+1\times2^{1}+0\times2^{0}=6_{10} \\ \\ 6_{10} &= 110_{2}:\\ \end{align}
 6 / 2 = 3, remainder 0, (LSB - Least Significant Byte)
 3 / 2 = 1, remainder 1
 1 / 2 = 0, remainder 1, (MSB - Most Significant Byte)

Initial Data

The conversion works both ways!


Decimal number (positive) (max. 65 536)

=

Binary number
Hexadecimal number


Decimal number (positive) Binary number
0 0
1 1
2 10
3 11
4 100
5 101
6 110
7 111
8 1000
9 1001
10 1010
11 1011
12 1100
13 1101
14 1110
15 1111
16 10000
32 100000
64 1000000
128 10000000
256 100000000

Binary Converter FAQ

What does this binary converter do?
This tool converts decimal to binary and binary to decimal in one place. It also shows the related hexadecimal value, which is useful when checking binary, decimal, and hex representations of the same whole number.

When would I use a decimal to binary or binary to decimal converter?
These conversions are common in programming, digital electronics, computer architecture, bit-level work, and school exercises. A quick binary converter is useful when you need to verify powers of two, bit patterns, or how a binary value maps back to decimal.

Does this page work for hexadecimal too?
Yes, the page also shows the matching hexadecimal value for the current number. That makes it practical when you want a simple binary to hex or decimal to hex cross-check without opening a separate converter.


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