CalcaTools

Hex Calculator | Convert Bases And Perform Hexadecimal Arithmetic

Add, subtract, multiply and divide hexadecimal numbers, and convert between hex, decimal and binary instantly. Ideal for programmers working with memory addresses, color codes, bit manipulation and embedded systems, with the digit-by-digit working displayed.

Last updated: July 2026 · Free · No sign-up required

Results

Enter values above and click Calculate to see your result instantly.

Quick reference

Hex to decimal to binary:

HexDecimalBinary
A101010
F151111
1F3111111
FF25511111111
100256100000000

functions Shows the working, not just the answer

For students and teachers, the final number is only half the value. Every math tool here exposes the formula it applied, the intermediate steps, and the rounding rule, so you can follow along, check your homework, or use the answer in a proof or report with confidence.

calculate Accurate to the spec

Calculations use 64-bit floating point with sensible rounding for the domain (currency to 2 decimals, percentages to 4 decimals, algebra to 6 significant figures). Where exact rational arithmetic matters — fractions, factorials, simplification — we use a dedicated BigNumber path so 1/3 + 1/6 returns ½, not 0.49999.

school Free for classroom use

Educators are welcome to link to any math calculator on CalcaTools from a class site, Google Classroom, or worksheet. The pages are mobile-friendly, free, ad-supported (so we can keep them free) and have no sign-up wall — students just click and use them in class or at home.

tips_and_updates Pair with the spoke articles

Below the calculator we link a small set of plain-English explainer pages — "What is a percentage?", "Why does PEMDAS matter?", and so on. They cover the underlying concept in 4–6 short paragraphs. Read those before the calculator if the topic is new, or after if you want the extra context.

Interpretation guide

Where hexadecimal is used:

UseExample
Color codes#FF8800 in CSS
Memory addresses0x7FFE in programming
MAC addresses1A:2B:3C:4D:5E:6F
Byte values0x00 to 0xFF (0–255)

lightbulb Worked example

Let's say you are using the Hex Calculator. This hex calculator converts between hexadecimal, decimal, and binary, and performs arithmetic — addition, subtraction, multiplication, division — on hexadecimal values directly. Enter numbers in any Enter the values that match your situation into the input fields and press calculate — using realistic numbers makes the result directly useful for you.

Result: The calculator instantly applies the formula Each hex digit is 4 bits; decimal value = sum of digit x 16^position (right to left) and returns the result with appropriate precision.

What this means: Read the result in the context of what you are measuring. The step-by-step breakdown lets you confirm the math and understand which input most affects the outcome.

Formula & methodology

Formula: Each hex digit is 4 bits; decimal value = sum of digit x 16^position (right to left)

The Hex Calculator is built on a well-established calculation method. It uses the formula Each hex digit is 4 bits; decimal value = sum of digit x 16^position (right to left) to turn your inputs into a reliable result. This hex calculator converts between hexadecimal, decimal, and binary, and performs arithmetic — addition, subtraction, multiplication, division — on hexadecimal values directly. Enter numbers in any base and it shows The steps are shown on the page so you can follow the reasoning from input to output.

Hexadecimal is base-16, using digits 0–9 and A–F (10–15). Because each hex digit maps to exactly four binary bits, hex is a compact way to write byte values, colors, and memory addresses. The calculator performs arithmetic directly in hex and converts among hex, decimal, and binary. To convert hex to decimal, multiply each digit by 16 raised to its position from the right and sum.

Authoritative source: Wolfram MathWorld

Frequently asked questions

How do I convert hex to decimal?
Enter the required values into the input fields and press the calculate button. The tool applies the formula Each hex digit is 4 bits; decimal value = sum of digit x 16^position (right to left) and returns the result with a short explanation of each step, so you can check the working yourself.
What does 0x mean before a number?
The Hex Calculator is a free online tool that this hex calculator converts between hexadecimal, decimal, and binary, and performs arithmetic — addition, subtraction, multiplication, division — on hexadecimal values directly. enter numbers in any base and it shows the full conversion working; ideal for. You enter a few values, and it returns an accurate result together with a step-by-step explanation, so it works as both a calculator and a quick reference for the underlying concept.
Why is hex used for color codes?
The Hex Calculator is free, private, and accurate: it runs entirely in your browser (no uploads, no accounts), applies the standard calculation, and explains each step so you can verify the result. This hex calculator converts between hexadecimal, decimal, and binary, and performs arithmetic — addition, subtraction, multiplication, division — on hexadecimal values directly. Enter numbers in any base and it shows the full conversion working; ideal for There is no limit on usage, and it works on any device.
How do I add two hex numbers?
Add the digits from right to left in base 16, carrying when a column reaches 16 instead of 10. For example, 0x2F + 0x1A: F + A = 25 decimal = 0x19, so write 9 and carry 1; 2 + 1 + 1 = 4. The result is 0x49. The calculator does this digit by digit and shows the carries, and it handles subtraction, multiplication, and division the same way.
How many bits is one hex digit?
Exactly 4 bits — because 16 = 2⁴. Each hex digit maps to a 4-bit nibble: 0 is 0000, 5 is 0101, F is 1111. This clean 4-to-1 mapping is why programmers use hex to read binary: an 8-bit byte is exactly two hex digits (like 0xFF), and a 32-bit address is exactly eight. The calculator uses this mapping for its binary-hex conversions.
How does subtraction work in hexadecimal?
Same borrowing as decimal, but a borrow is worth 16. Computing 3A2 − 1FF: in the ones column 2 − F needs a borrow, giving 18₁₆ − F = 3 (18 hex = 16 + 2 = 18 decimal, minus 15 = 3); continue left for 1A3. Programmers often sidestep manual borrows via two's complement — add the complement instead of subtracting — which is what the calculator verifies.
What does the Hex Calculator do?
This hex calculator converts between hexadecimal, decimal, and binary, and performs arithmetic — addition, subtraction, multiplication, division — on hexadecimal values directly. Enter numbers in any base and it shows the full conversion working; ideal for. The calculator takes your inputs, applies the standard calculation, and returns a clear result so you can make an informed decision without doing the math by hand.
What formula does the Hex Calculator use?
The Hex Calculator applies the standard formula: Each hex digit is 4 bits; decimal value = sum of digit x 16^position (right to left). The tool walks through each step of the calculation so you can verify the numbers yourself.
Is the Hex Calculator free and private?
Yes — the Hex Calculator. There is no sign-up, no paywall, no trial, and no limit on how many calculations you can run. CalcaTools covers its costs with non-intrusive display advertising, so the calculator itself never asks for payment or restricts any feature.
How accurate is the Hex Calculator?
The Hex Calculator applies the standard formula: Each hex digit is 4 bits; decimal value = sum of digit x 16^position (right to left). It is tested against published worked examples before launch and uses native double-precision arithmetic, so results are accurate to typical precision for the values you enter — with no intermediate rounding that could distort the answer.

Explore the full math toolkit

Every CalcaTools math calculator — algebra, geometry, trigonometry, statistics, sequences, and unit conversions — with step-by-step workings on every result.