Binary Converter
Seamlessly convert between Decimal (Base 10) and Binary (Base 2). Type in either field for instant, real-time results.
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Computer Language Explained
While humans use the Decimal system (Base 10) consisting of digits 0-9, computers communicate using the Binary system (Base 2), which only uses 0 and 1. This tool helps you bridge that gap. When you enter a decimal, it breaks the number down into powers of 2. Conversely, when you enter binary, it sums the values of each "bit" position to find the total decimal value.
Frequently Asked Questions
What is a "Bit"? +
A bit (short for binary digit) is the smallest unit of data in computing. It represents a logical state with one of two values: 0 (off) or 1 (on).
How does conversion work? +
Binary uses powers of 2. For example, the binary 1011 is calculated as: $(1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0) = 8 + 0 + 2 + 1 = 11$.
Why do computers use binary? +
Hardware circuits are made of transistors that have two states: On (1) or Off (0). This makes binary the most efficient and reliable way for hardware to process information.
What is Hexadecimal? +
Hexadecimal (Base 16) is another common system used in coding (like CSS colors). It uses digits 0-9 and letters A-F to represent 4 binary bits in a single character.
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