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Binary to Decimal Converter

Convert binary numbers to decimal instantly. Supports integers and shows step-by-step conversion with bit position breakdown.. Free, no signup, works in your browser.

All conversions happen in your browser. No data is sent to any server.

About Binary to Decimal Converter

This binary to decimal converter transforms base-2 binary numbers into base-10 decimal values. Enter a binary number (using only 0s and 1s) and instantly see the decimal equivalent. The tool provides a step-by-step breakdown showing each bit position, its power of 2, and its contribution to the final value. Supports up to 53-bit integers (within JavaScript's safe integer range). Also shows the hexadecimal and octal representations. All conversion happens instantly in your browser.

Frequently Asked Questions

How does binary to decimal conversion work?
Each digit (bit) in a binary number represents a power of 2. Starting from the rightmost bit (position 0), multiply each bit by 2^position and sum all values. For example, 1011 = 1×2³ + 0×2² + 1×2¹ + 1×2⁰ = 8 + 0 + 2 + 1 = 11.
What is the maximum binary number I can convert?
The converter supports up to 53 binary digits, which covers JavaScript's safe integer range (up to 9,007,199,254,740,991 in decimal).
Does it show the conversion steps?
Yes. The tool displays a bit-position breakdown table showing each bit, its power of 2, the calculated value, and how all values sum to the final decimal number.

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