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Binary to Decimal

Convert binary numbers to decimal — enter, convert, and copy instantly.

Input Binary
Output Decimal
Decimal output will appear here...
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About Binary to Decimal Converter

Binary to decimal conversion is the process of translating a base-2 number (composed entirely of 0s and 1s) into its base-10 equivalent. Binary is the fundamental language of computers and digital electronics — every piece of data, from text files to streaming video, is ultimately stored and processed as binary values. Understanding how to convert binary to decimal is essential for programmers, electrical engineers, networking professionals, and computer science students working with low-level data representations.

This free online converter handles everything from simple 8-bit values to arbitrarily large binary numbers using BigInt support. You can convert multiple binary numbers at once by entering each on a separate line. All processing runs entirely in your browser — no data is ever transmitted to a server, so your input stays completely private. No sign-up, no ads, just instant binary-to-decimal conversion.

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How to Use

01

Enter Binary Number

Type or paste your binary number into the input area. You can enter multiple numbers on separate lines for batch conversion.

02

Convert

Click "Convert" to calculate the decimal equivalent of your binary input. Each line is converted independently.

03

Copy Result

Copy the decimal result to your clipboard with one click using the copy button in the toolbar.

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Frequently Asked Questions

What is binary to decimal conversion? expand_more
Binary to decimal conversion translates a base-2 number (using only digits 0 and 1) into a base-10 number (the standard numbering system). Each binary digit represents a power of 2 — for example, the binary number 11110000 equals 128 + 64 + 32 + 16 = 240 in decimal.
How does binary to decimal conversion work? expand_more
Each position in a binary number corresponds to a power of 2, starting from 2^0 on the right. To convert, multiply each binary digit by its positional power of 2 and sum the results. For example, 1010 = (1 x 2^3) + (0 x 2^2) + (1 x 2^1) + (0 x 2^0) = 8 + 0 + 2 + 0 = 10.
Can this tool handle very large binary numbers? expand_more
Yes. For binary numbers longer than 53 bits (which exceed the precision of standard JavaScript numbers), the tool automatically uses BigInt to perform the conversion with full accuracy. There is no practical limit on the size of binary input.
Is my data secure? expand_more
Absolutely. All conversion happens entirely in your browser using client-side JavaScript. No data is sent to any server, so your binary input and decimal output remain completely private.