Binary Converter

Decimal to Binary

1. Select the "Decimal to Binary" tab
2. Enter a decimal number
3. Click "Convert" to see the binary representation
4. Click the copy button to copy the result to your clipboard

Binary to Decimal

1. Select the "Binary to Decimal" tab
2. Enter a binary number (using only 0s and 1s)
3. Click "Convert" to see the decimal representation
4. Click the copy button to copy the result to your clipboard

Text to Binary

1. Select the "Text to Binary" tab
2. Enter the text you want to convert
3. Click "Convert" to see the binary representation (8 bits per character)
4. Click the copy button to copy the result to your clipboard

Binary to Text

1. Select the "Binary to Text" tab
2. Enter a binary string (8 bits per character, spaces optional)
3. Click "Convert" to see the text representation
4. Click the copy button to copy the result to your clipboard

Binary Basics

In binary, each position represents a power of 2, starting from the rightmost digit (2^0 = 1) and increasing as you move left (2^1 = 2, 2^2 = 4, 2^3 = 8, etc.).

Binary to Decimal Conversion

To convert binary to decimal, multiply each digit by its corresponding power of 2 and sum the results.

Decimal to Binary Conversion

To convert decimal to binary, divide the number by 2 repeatedly and record the remainders in reverse order.

Text to Binary

In computing, text is converted to binary using character encoding standards like ASCII or UTF-8. Each character is represented by a specific binary sequence.

Why do computers use binary?

Computers use binary because electronic components can easily represent two states: on/off, high/low voltage, or magnetic polarities. This makes binary the most natural number system for digital electronics.

What is a bit and a byte?

A bit (binary digit) is the smallest unit of data in computing, representing either a 0 or a 1. A byte is a group of 8 bits, which can represent 256 different values (2^8).

How are negative numbers represented in binary?

Negative numbers are typically represented using methods like two's complement, where the leftmost bit indicates the sign (0 for positive, 1 for negative) and the remaining bits represent the magnitude with some mathematical adjustments.