How does the Binary Converter work?

Binary to decimal: sum each bit × 2^position (from right, starting at 0) Then: Decimal to binary: repeatedly divide by 2 and record remainders Then: Hex uses digits 0–9 and letters A–F (A=10, B=11, ..., F=15) Then: 1 hex digit = 4 binary bits; 2 hex digits = 1 byte (8 bits).

Can you give an example of how to use the Binary Converter?

Example: Input Binary 1010 gives a result of Decimal 10, Hex A, Octal 12 (8+0+2+0 = 10).

Is the Binary Converter free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Binary Converter?

Our Binary Converter uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Toán học

Binary Converter

Number Base Converter

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Enter Decimal Number

A binary converter converts numbers between binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8). These number systems are fundamental in computing — computers store all data in binary (0s and 1s).

Decimal	Binary	Hex	Octal
0	0000	0	0
8	1000	8	10
10	1010	A	12
15	1111	F	17
16	10000	10	20
255	11111111	FF	377
256	100000000	100	400

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Pro Tip

Memorize powers of 2 up to 2^10: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024. These are the building blocks of all binary arithmetic and computer storage units.

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Did You Know?

All colors on your screen are represented as hex — #FF0000 is pure red (255, 0, 0 in RGB). Web colors, CSS, and image files all use hexadecimal color codes because 2 hex digits perfectly represent one color channel (0–255).

References

›Binary number — Wikipedia

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Binary, Decimal, and Hexadecimal: How to Convert Between Number Systems

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Binary Converter

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Number System Quick Reference

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