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Hazuu Tools

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 Converter translates base-2 numbers — strings of 0s and 1s — into their familiar base-10 equivalents. Binary is the native language of every digital system: CPU registers, memory addresses, network masks, file permissions, and color channel values are all represented internally as binary. When you need to read or verify those raw values in a format you can reason about, converting to decimal is the fastest path.

This tool is specifically for reading numerical binary values and producing their integer decimal equivalent. It supports batch conversion: paste a list of binary numbers, one per line, and each is converted independently in a single click. Very large numbers — beyond the 53-bit precision limit of standard floating-point arithmetic — are handled automatically using JavaScript BigInt, so results stay exact regardless of input length. This is the right tool when you need the numeric value of a binary string, as opposed to binary-to-text (which decodes ASCII characters) or binary-to-hex/octal (which rebase the number without converting to decimal).

All computation runs entirely in your browser. No binary input is uploaded, transmitted, or logged anywhere. There is no account, no rate limit, and no cost — just paste your values and convert.

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Key Features

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Batch multi-line conversion

Enter several binary numbers separated by newlines and convert them all at once. Each line is processed independently so you can handle a column of register dumps or address lists in a single pass.

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BigInt precision for large inputs

Binary strings longer than 53 bits are automatically routed through JavaScript BigInt, preserving full integer accuracy where standard number types would silently lose precision.

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Strict input validation

The tool accepts only characters 0 and 1. Any line containing other characters triggers a clear error message rather than producing a silently wrong decimal value.

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100% client-side processing

Conversion runs in your browser with no server involved. Binary values from proprietary systems, security research, or internal tools never leave your machine.

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One-click copy

Copy the entire decimal output to your clipboard with a single button press so you can paste results straight into a spreadsheet, report, or debug log.

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Instant sample data

Hit the Sample button to load four representative values — including an 8-bit byte (11110000), a short integer (1010), and a 9-bit overflow value — so you can verify the tool works before entering your own data.

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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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Example

Four binary values — an 8-bit byte, a short integer, 0xFF, and a 9-bit value — are each converted to their decimal equivalent. The 9-bit input (100000000) exceeds a standard byte and resolves correctly to 256.

Binary input
11110000
1010
11111111
100000000
Decimal output
240
10
255
256
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Common Use Cases

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    Reading CPU and memory register dumps

    Debuggers and embedded system monitors often display register values in binary. Convert them to decimal to match against expected values in documentation or to do arithmetic without switching mental models.

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    Verifying network subnet masks and IP flags

    Subnet masks and TCP header flags are commonly expressed as binary bitmasks. Converting to decimal lets you confirm the numeric value before plugging it into a routing table or firewall rule.

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    Checking file permission bits on Unix systems

    Unix permissions like 111 101 101 in binary map directly to the octal/decimal values displayed by chmod. Converting gives you the numeric mode you can pass to chmod or stat calls.

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    Interpreting binary data from hardware datasheets

    Sensor registers, ADC output words, and GPIO state tables in hardware datasheets are listed in binary. Convert to decimal to compare readings against threshold values or calibration constants.

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    Checking student work and homework answers

    Computer science courses cover positional notation extensively. Paste a column of student binary answers and convert in bulk to grade against the expected decimal values quickly.

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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.
How is this different from the Binary to Text converter? expand_more
Binary to Decimal interprets your input as a single integer in base 2 and gives its numeric value — for example, 01000001 becomes 65. Binary to Text treats groups of 8 bits as ASCII character codes and produces readable text — 01000001 becomes the letter A. Use this tool when you need the number; use Binary to Text when you need the character.
How is this different from Binary to Hex or Binary to Octal? expand_more
Binary to Hex and Binary to Octal rebase the number into base 16 or base 8 without ever producing a base-10 result. Binary to Decimal is the right choice when you need a plain integer you can use in calculations, compare against thresholds, or read naturally without knowing hex or octal notation.
Can I convert multiple binary numbers at once? expand_more
Yes. Enter one binary number per line in the input area. Each line is converted independently and the results appear in the same order in the output, making it easy to process a whole column of values at once.
What happens if I enter a non-binary character? expand_more
The tool validates each line strictly. If any line contains a character other than 0 or 1, conversion stops and an error message is shown. No partial or incorrect output is produced, which protects you from silently wrong results.