Binary Converter

Convert binary numbers (base 2) to and from decimal, hexadecimal, and octal formats. Binary is the fundamental number system used by computers, representing all data using only 0s and 1s. Essential for programming, digital electronics, and computer science.

Decimal

Binary

Common Conversions

0

0

1

1

8

1000

16

10000

32

100000

64

1000000

128

10000000

255

11111111

FAQ

What is binary?

Binary is a base-2 number system that uses only two digits: 0 and 1. It is the foundation of all digital computing because electronic circuits can easily represent two states (on/off, high/low voltage).

How do I read binary numbers?

Each position in a binary number represents a power of 2, starting from the right with 2^0. For example, 1011 in binary equals 1x8 + 0x4 + 1x2 + 1x1 = 11 in decimal.

Why is binary important in computing?

Computers use binary because digital circuits work with two states. All data - text, images, audio, video - is ultimately stored and processed as sequences of binary digits (bits).

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