Hex to Decimal Converter

Enter a hexadecimal value (base 16) into the Hex Input field and get the decimal equivalent (base 10) back instantly. The converter also shows the full step-by-step calculation — each digit multiplied by its power of 16 — so you can see exactly how the conversion works. Supports hex values using digits 0–9 and letters A–F (case-insensitive), from simple values like FF to large numbers like 7FFFFFFFFFFFFFFF.

Enter a hex number using digits 0–9 and letters A–F (case-insensitive). Max value: 7FFFFFFFFFFFFFFF.

Results

Decimal Value

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Hex Input (Normalized)

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Binary Equivalent

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Octal Equivalent

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Number of Hex Digits

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Calculation Steps

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Digit Contributions to Decimal Value

Results Table

Frequently Asked Questions

How do I convert a hexadecimal number 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 those products and you have the decimal result.

What digits does the hexadecimal system use?

Hexadecimal (base 16) uses 16 symbols: 0–9 for the first ten values, then A=10, B=11, C=12, D=13, E=14, and F=15. This is why hex is so compact — a single digit can represent values from 0 to 15.

Why is hexadecimal commonly used in computing?

Hex maps neatly onto binary — each hex digit represents exactly 4 binary bits (a nibble). This makes it easy to read and write binary data like memory addresses, color codes, and machine instructions without dealing with long strings of 0s and 1s.

What is the maximum hex value this converter supports?

The converter supports hex values up to 7FFFFFFFFFFFFFFF, which equals 9,223,372,036,854,775,807 in decimal — the maximum value of a 64-bit signed integer. For typical use cases like color codes or IP addresses, you'll be well within this range.

Is hex to decimal conversion case-sensitive?

No — the hex letters A through F can be entered as either uppercase (A, B, C, D, E, F) or lowercase (a, b, c, d, e, f). The converter normalizes your input to uppercase automatically before processing.

How is hex used for color codes in web design?

HTML/CSS color codes like #FF5733 are three pairs of hex digits representing Red, Green, and Blue (RGB) intensity from 0 to 255. For example, FF in hex = 255 in decimal, meaning full intensity of that channel. Understanding hex-to-decimal conversion helps you read and adjust these values precisely.

What is the decimal equivalent of FF in hex?

FF in hexadecimal equals 255 in decimal. This is calculated as (15 × 16¹) + (15 × 16⁰) = 240 + 15 = 255. It's also the maximum value of a single byte (8 bits) in binary.

How do programming languages handle hex to decimal conversion?

Most languages have built-in functions for this. In Python, use int('1A3', 16); in JavaScript, use parseInt('1A3', 16); in C++, use std::stoi('1A3', nullptr, 16). All of these return the decimal integer 419 for the input '1A3'.

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