Hex to Decimal Converter
Convert between hexadecimal, decimal, binary, and octal with step-by-step explanations, BigInt support, and bulk mode. Free, fast, and works entirely in your browser with no sign-up required.
Updated
Hex to Decimal Converter
Bidirectional converter between hexadecimal, decimal, binary, and octal number systems with step-by-step explanations and bulk mode.
Hexadecimal Input
Prefix "0x" is automatically stripped.
Decimal Result
—
Quick Reference
Decimal (Base 10)
Digits: 0-9
No prefix
Hexadecimal (Base 16)
Digits: 0-9, A-F
Prefix: 0x
Binary (Base 2)
Digits: 0, 1
Prefix: 0b
Octal (Base 8)
Digits: 0-7
Prefix: 0o
Frequently Asked Questions
What is the Hex to Decimal Converter?
The Hex to Decimal Converter is a free online tool that convert between hexadecimal, decimal, binary, and octal with step-by-step explanations, bigint support, and bulk mode. It runs entirely in your browser with no installation or sign-up needed.
Which bases?
Eight tabs: Hex↔Dec, Hex↔Bin, Dec↔Bin, Oct↔Dec. Plus an all-bases summary showing Dec/Hex/Bin/Oct simultaneously.
Large numbers?
Yes — uses native BigInt for arbitrary precision, no 53-bit float limit.
Step-by-step?
Shows positional breakdown (e.g. A*16² + B*16¹ + C*16⁰ = 2748) for to-decimal conversions.
Is the Hex to Decimal Converter free to use?
Yes, the Hex to Decimal Converter is 100% free with no registration, no hidden fees, and no usage limits. All processing happens locally in your browser, ensuring complete privacy.
Is my data safe with this tool?
Absolutely. The Hex to Decimal Converter processes everything client-side in your browser. No data is uploaded to or stored on any server. Your content remains private on your device at all times.
Does the Hex to Decimal Converter work on mobile devices?
Yes, the Hex to Decimal Converter is fully responsive and works on smartphones and tablets. You can use it on any device with a modern web browser -- no app download required.
Do I need to create an account to use this tool?
No account or registration is needed. Simply open the Hex to Decimal Converter in your browser and start using it immediately. There are no sign-up walls or usage restrictions.
How do I use the Hex to Decimal Converter?
Simply enter your input in the provided field, adjust any settings to your preference, and the tool will process it instantly. You can then copy the result to your clipboard or download it.
Which browsers are supported?
The Hex to Decimal Converter works in all modern browsers including Chrome, Firefox, Safari, Edge, and Opera. For the best experience, use the latest version of your preferred browser.
How do you convert a hexadecimal number to decimal by hand?
To convert hex to decimal manually, you multiply each digit by 16 raised to the power of its position, counting from zero on the right, then add the results. Hex digits A through F stand for 10 through 15. Take 1A3F: the F is 15×16⁰=15, the 3 is 3×16¹=48, the A is 10×16²=2560, and the 1 is 1×16³=4096. Adding 4096+2560+48+15 gives 6719 in decimal. The same method works for any length — each position is worth 16 times the one to its right. This tool does exactly that calculation for you and prints the full positional breakdown, showing each digit, its place value, and its subtotal, so you can check your own working or learn the pattern instead of just trusting the number.
What does the 0x prefix mean in front of a hex number?
The 0x prefix is a marker that tells a programming language, calculator, or person that the digits following it should be read as hexadecimal (base 16) rather than ordinary decimal. Without it, a value like 255 is ambiguous — in hex it would actually equal 597 in decimal. So 0xFF clearly means the hex number FF, which is 255. Similar prefixes exist for other bases: 0b marks binary (0b1010) and 0o marks octal (0o755). These conventions come from C and are now used across most languages and many config files. When you paste a value here, the converter strips a leading 0x, 0b, or 0o automatically, so you can copy numbers straight out of source code without cleaning them up first and convert them immediately.
Why does hexadecimal use letters A to F instead of just numbers?
Hexadecimal is base 16, which means each digit must represent sixteen distinct values — but we only have ten number symbols, 0 through 9. To fill the remaining six slots, hex borrows the letters A, B, C, D, E, and F to stand for the values 10, 11, 12, 13, 14, and 15. So F is the largest single hex digit, equal to decimal 15, and the next value, 16, rolls over to two digits as 10 in hex. This compact notation is why a single hex digit maps neatly onto exactly four binary bits, making hex a tidy shorthand for the binary that computers actually use. The converter accepts these letters in upper or lower case, validates that nothing outside 0-9 and A-F slips in, and shows the equivalent value in decimal, binary, and octal.
Why is hexadecimal used for colors, memory addresses, and MAC addresses?
Hexadecimal is used in those places because it lines up perfectly with how computers store data in bytes. One byte is eight bits, and eight bits split cleanly into two hex digits, so any byte value fits in exactly two characters from 00 to FF. That makes hex far more readable than long binary strings while staying precise. Web colors like #FF5733 pack three bytes — red, green, and blue — into six hex digits. Memory addresses and MAC addresses use hex for the same reason: it compresses large binary values into a short, unambiguous form that maps back to bits without rounding. Converting these by hand is slow, so paste the hex value here to instantly see its decimal equivalent, view all four bases side by side, or break a color code into its component byte values.
Why do other converters give wrong answers for very large hex numbers?
Many online converters fail on large values because they rely on JavaScript's standard number type, which can only represent integers exactly up to 2⁵³ − 1, roughly 9 quadrillion. Beyond that limit, digits get silently rounded, so a long hexadecimal string — a 64-bit memory address, a cryptographic hash, or any oversized value — converts to a number that looks plausible but is quietly incorrect. This tool avoids the trap entirely by parsing every base with native BigInt arithmetic, which handles integers of arbitrary size with no rounding and no precision loss. Whether you convert a two-digit byte or a forty-character hex hash, the decimal result is exact. Paste your value and you get a precise answer along with the same number shown in binary, octal, and decimal, with copy buttons for each.
Embed This Tool
Add a free, live version of this widget to your own website or blog post — it runs entirely in your visitors' browsers, with a credit link back to The Toolbox.
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<p style="font-size:12px;margin:4px 0 0"><a href="https://getthetoolbox.com/converter-tools/hex-to-dec?utm_source=embed&utm_medium=widget" target="_blank" rel="noopener">Free Hex to Decimal Converter</a> by The Toolbox</p>Related Tools
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About the Hex to Decimal Converter
The Hex to Decimal Converter translates numbers between the four bases that programmers use most: hexadecimal (base 16), decimal (base 10), binary (base 2), and octal (base 8). Type a value, pick a direction, and the result appears instantly — along with a step-by-step breakdown of the math and a summary showing the same number in every base at once. It is built for developers reading memory addresses or color codes, students learning number systems, and anyone who has ever stared at a value like 0x1A3F and needed to know what it means in plain decimal.
Everything runs locally in your browser. The numbers you enter are never sent to a server, there is no sign-up, and there are no usage limits. Once the page has loaded it keeps working offline.
Which conversions it handles
The converter offers eight directions across four base pairs, each available both ways:
- Hexadecimal and decimal —
1A3Fbecomes6719, and back again. - Hexadecimal and binary —
FFbecomes11111111. - Decimal and binary —
255becomes11111111. - Octal and decimal —
777becomes511.
If your input carries a base prefix — 0x for hex, 0b for binary, 0o for octal — it is stripped automatically, so you can paste values straight from source code. Each mode validates as you type: a hex field rejects anything outside 0-9 and A-F, binary accepts only 0 and 1, and octal only 0-7. Invalid characters are flagged immediately rather than producing a silently wrong answer.
Built for numbers of any size
Most online converters break on large values because JavaScript can only represent integers exactly up to 2^53 − 1 (about 9 quadrillion). This tool parses every base with native BigInt arithmetic, so a 64-bit address, a long cryptographic hash, or any oversized hexadecimal string converts with exact precision and no rounding. When you convert to decimal, a positional breakdown shows exactly how the answer is built — for example, ABC in hex expands to A×16² + B×16¹ + C×16⁰ = 10×256 + 11×16 + 12×1 = 2748. Each digit, its place value, and its subtotal are listed in a clear table, which makes the converter useful for checking homework or actually understanding the conversion rather than just trusting it.
From a single value to a whole list
Below any single conversion, an "all bases" panel displays the number simultaneously in decimal, hexadecimal, binary, and octal, each with its own copy button — handy when you need the same constant in more than one notation. For larger jobs, Bulk mode lets you paste one value per line and convert the entire list at once. Each row is marked valid or invalid, and you can copy all results or download them as a CSV file for a spreadsheet or script. A hex output toggle switches between uppercase (FF) and lowercase (ff) to match your code style.
Why base conversion matters
Different bases exist because each suits a different job. Computers store everything in binary, but long binary strings are painful to read, so hexadecimal acts as shorthand — every hex digit maps cleanly to exactly four binary bits, which is why colors (#FF5733), memory addresses, MAC addresses, and byte values are written in hex. Octal groups bits in threes and still appears in Unix file permissions like 755. Decimal is how humans count. Converting between them comes up constantly in debugging, embedded systems, networking, and web design, and doing it by hand is slow and error-prone. The Hex to Decimal Converter removes the guesswork, shows its working, and keeps your data on your own machine.