Hex Calculator

Hexadecimal is a base-16 number system that uses sixteen digits: 0 through 9, then A through F for 10 through 15. Each hex digit maps to exactly four binary bits, so two hex digits represent one byte — that's why hex shows up everywhere in programming, memory addresses, color codes, and networking.

Watch: How Hexadecimal Works

“Understanding Binary, Hexadecimal, Decimal (Base-10), and more” by Corey Schafer on YouTube.

What Is a Hexadecimal Calculator?

A hex calculator performs arithmetic — addition, subtraction, multiplication, and division — directly on base-16 values, and converts the result into decimal, binary, and octal at the same time. It checks manual hex math, helps with debugging, and converts between number systems without doing the base conversion by hand.

How Does the Calculator Work?

Enter one or two hex values.
Choose an operation to calculate, or switch to Convert / Inspect for one value.
Read the result in hex, decimal, binary, and octal, plus a step-by-step breakdown.

Hexadecimal Arithmetic, Explained

Addition

1A3 + 2F = 1D2

    1 A 3
  + 0 2 F
  -------
    1 D 2

Step	Description	Result
Convert 1A3	(1 x 256) + (10 x 16) + 3	419
Convert 2F	(2 x 16) + 15	47
Add	419 + 47	466
Convert back	decimal 466 to hex	1D2

Subtraction

1A3 - 2F = 174

    1 A 3
  - 0 2 F
  -------
    1 7 4

Base is 16, so borrowing one from the next place adds 16 to the current place before subtracting.

Multiplication

A x 5 = 32

A hex = 10 decimal
10 x 5 = 50 decimal
50 decimal = 32 hex

Division

1D2 / A = 2E remainder 6

1D2 hex = 466 decimal
A hex = 10 decimal
466 / 10 = 46 remainder 6
46 decimal = 2E hex

Practical Uses

Reading Memory Dumps and Log Output

Debuggers, disassemblers, and crash logs print addresses and register values in hex because it maps cleanly onto bytes. A stray 0x7F or 0xFFFFFFFF in a log is easier to trace back to its source once you can convert it on the spot.

0x7F = 127

Picking and Checking Colors

Every CSS color is a hex triplet under the hood. Designers hand off swatches as hex, developers wire them into RGB or HSL for animations — converting between the two happens constantly.

#2563EB = rgb(37, 99, 235)

Networking and Firmware Bytes

IP addresses, MAC addresses, CRC checksums, and firmware images are stored and transmitted as raw bytes, which tools display in hex because it's four times shorter than binary and lines up one digit per nibble.

192.168.1.1 = 0xC0A80101

Common Hex Values at a Glance

These bit-width boundaries come up so often in programming that it's worth recognizing them on sight instead of converting each time.

Hex	Decimal	Why it matters
0x00	0	All bits clear
0x0F	15	Low nibble fully set — a common bitmask
0x7F	127	Largest positive signed 8-bit value
0x80	128 (unsigned) / -128 (signed)	Smallest signed 8-bit value in two's complement
0xFF	255	All 8 bits set — largest unsigned byte
0xFFFF	65535	All 16 bits set — max unsigned short

Why Use This Hex Calculator

Runs entirely in your browser — no sign-up, no upload, nothing sent to a server
Catches arithmetic mistakes in manual hex math before they reach code or hardware
Shows hex, decimal, binary, and octal for every result at once, so you don't reach for a second tool
Arbitrary-precision engine handles values well past 64-bit without overflowing
Every step of the calculation is shown, not just the final answer

Frequently Asked Questions

Why does hexadecimal use the letters A through F?

Base 16 needs sixteen distinct symbols per digit. Digits 0-9 only cover ten of them, so hex borrows A-F for the values 10-15. C, for instance, is a single digit standing in for decimal 12.

How do I convert hex to decimal by hand?

Multiply each digit by 16 raised to its position (counting from 0 on the right) and add the results. 9B = (9 x 16^1) + (11 x 16^0) = 144 + 11 = 155.

How do I convert hex to decimal in JavaScript or Python?

JavaScript: parseInt("9B", 16). Python: int("9B", 16). Both read a hex string and return its decimal value — useful when you want to check a manual conversion or parse hex from user input.

What does the 0x prefix mean, and are there other hex notations?

0x marks a literal as hexadecimal in most languages (C, JavaScript, Python). Assembly and some hardware docs instead use an "h" suffix, like 9Bh — same value, different convention.

Can hex values be negative?

Hex digits themselves don't carry a sign — negative values only exist once you interpret the bits with a signed encoding like two's complement at a fixed bit width. Switch to Convert / Inspect above to see a value's signed and unsigned reading side by side.

Why does hex subtraction borrow 16 instead of 10?

Borrowing pulls one unit from the next column, and in base 16 that unit is worth 16 in the current column — not 10 like in decimal. F - A still works the same way, it just adds 16 before subtracting when a digit runs short.

Does this calculator handle numbers bigger than 64-bit?

Yes. The engine uses arbitrary-precision arithmetic rather than fixed-width integers, so values well beyond a standard 64-bit range still add, subtract, multiply, and divide correctly.

Where does hex show up outside of programming?

CSS and design tools use it for color codes (#2563EB), networking tools use it for MAC addresses and packet dumps, and file formats use it in hex editors to show raw bytes that would be unreadable as plain decimal.