Binary calculator.
Use this free binary calculator to get fast estimates, compare scenarios, and understand the numbers with clear step-by-step context.
Use the Binary Calculator.
Results update automatically as you type. No account is required.
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About the Binary Calculator
A binary calculator converts numbers between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Binary is the language of computers, using only the digits 0 and 1.
How it works
Each digit in a base represents a power of that base. Binary 101101 means 1×32 + 0×16 + 1×8 + 1×4 + 0×2 + 1×1 = 45. The calculator converts your input to decimal, then to every other base.
Reading the result
The headline shows the decimal value, with binary, octal, and hexadecimal equivalents listed so you can read across bases.
Note: Calculations run instantly in your browser and use exact mathematical formulas. For very large numbers, results are shown to standard floating-point precision.
FAQ
Why do computers use binary?
Electronic circuits have two stable states (on and off), which map naturally to the two binary digits 0 and 1.
What is the difference between bits and bytes?
A bit is a single binary digit; a byte is eight bits, able to represent 256 values (0–255).
How does hexadecimal relate to binary?
Each hex digit equals exactly four binary digits, which is why hex is a compact shorthand for binary in computing.