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Binary ↔ Decimal Converter

Convert between binary, decimal, hexadecimal and octal number systems.

BinaryBase 2
DecimalBase 10
HexadecimalBase 16
OctalBase 8

Quick Reference Table

DecimalBinaryHexOctal

About Binary ↔ Decimal Converter

Converting between different units and formats shouldn't require googling formulas or downloading apps. Binary ↔ Decimal Converter handles it instantly in your browser, letting you convert between binary, decimal, hexadecimal and octal number systems with precision. Results update in real time as you type, and all processing happens locally on your device.

How to Use

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Enter a value Type the number you want to convert into the input field.
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Select units Choose the source and target units from the dropdown menus.
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Get instant results The converted value appears immediately as you type — no button press needed.
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Copy the result Click the Copy button or select the output value to copy it for use elsewhere.
🔒 Privacy note: All processing happens locally in your browser. Your data is never sent to any server.

Why Use Binary ↔ Decimal Converter?

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Real-Time Conversion Results update instantly as you type — no need to press a button. Quickly compare multiple values or find the exact conversion you need.
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High Precision Binary ↔ Decimal Converter uses accurate conversion factors from international standards. Results are precise enough for engineering, scientific, and professional use.
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Mobile Ready Fully responsive design works perfectly on phones and tablets. Great for quick conversions when you're shopping, cooking, or traveling.
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All Common Units Covers the most commonly needed unit conversions, including both metric (SI) and imperial systems, so you always find what you're looking for.

Frequently Asked Questions

Multiply each bit by 2 raised to its position (right to left, starting at 0). Example: 1010 = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8+0+2+0 = 10.
Hex is compact (1 hex digit = 4 bits = 1 nibble) and easy to convert to/from binary. Colors (e.g. #FF5733), memory addresses, and byte codes are commonly represented in hex.
Octal (base 8) uses digits 0–7. It was historically used in computing (PDP-8, Unix file permissions chmod). Each octal digit represents 3 bits.