Hex to Decimal Converter

Enter any hexadecimal value (base 16) into the Hex Input field and get the equivalent decimal number (base 10) back immediately. The converter also shows a step-by-step calculation breakdown and the binary equivalent so you can follow along with the conversion process. Supports hex strings from a single digit up to large values like 7FFFFFFFFFFFFFFF, and accepts both uppercase and lowercase letters.

Enter a hex number using digits 0–9 and letters A–F (max. 7FFFFFFFFFFFFFFF)

Results

Decimal Value

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Binary Equivalent

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Octal Equivalent

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Step-by-Step Calculation

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Place Value Contributions

Results Table

Frequently Asked Questions

How do you convert hexadecimal to decimal?

Each hex digit is multiplied by 16 raised to the power of its position (starting from 0 on the right). For example, 7DE = (7 × 16²) + (13 × 16¹) + (14 × 16⁰) = 1792 + 208 + 14 = 2014. Sum all the results to get the decimal value.

What digits does the hexadecimal system use?

Hexadecimal (base 16) uses 16 symbols: the digits 0–9 and the letters A–F, where A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15. This makes it compact — a single hex digit can represent values from 0 to 15.

What is the difference between hexadecimal and decimal?

Decimal is a base-10 system using digits 0–9, where each digit represents a power of 10. Hexadecimal is a base-16 system using digits 0–9 and A–F, where each digit represents a power of 16. Hex is widely used in computing because it maps neatly to binary (4 bits per hex digit).

What is the maximum hex value this converter supports?

This converter supports hexadecimal values up to 7FFFFFFFFFFFFFFF, which equals 9,223,372,036,854,775,807 in decimal — the maximum value of a signed 64-bit integer.

Where is hexadecimal used in programming?

Hex is commonly used to represent memory addresses, color codes (e.g. #FF5733 in HTML/CSS), binary data in a compact form, and bitwise operations. Languages like Python, JavaScript, and C all support hex literals natively (e.g. 0x1A3).

Can I enter lowercase hex letters like 'a', 'b', 'c'?

Yes. This converter accepts both uppercase (A–F) and lowercase (a–f) hexadecimal letters and treats them as equivalent. For example, '1a3' and '1A3' will both convert to the same decimal result of 419.

How does hex relate to binary?

Each hexadecimal digit corresponds exactly to a 4-bit binary group. For instance, F in hex = 1111 in binary, and A = 1010. This makes hex a convenient shorthand for binary numbers, which is why it's so prevalent in low-level computing and debugging.

What are practical applications of hex to decimal conversion?

Common use cases include reading memory addresses in debuggers, interpreting network IP and MAC address segments, understanding HTML color codes, working with ASCII character codes, and analyzing file headers or binary data in hex editors.

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