How do I use the Hex Calculator?

Enter the required values, then calculate. The Hex Calculator shows results, formulas, and step-by-step work when available. No account is required.

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How it works

Hexadecimal is base 16 (0–9, A–F). Place values are powers of 16; each digit is four binary bits. Arithmetic uses the same column rules as decimal but carry/borrow happens at 16.

Σ dᵢ·16ⁱ · A–F=10–15 · carry at 16

When to use

Use this tool when you need to: try hex addition 1AB + B78, or convert 2AA₁₆ → 682 and 1500₁₀ → 5DC₁₆. Open Steps for column work.

How to use this tool

Enter your values in the fields above.
Review the formula and any mode options for your problem.
Read the result and the step-by-step solution.

Try hex addition 1AB + B78, or convert 2AA₁₆ → 682 and 1500₁₀ → 5DC₁₆. Open Steps for column work.

Frequently asked questions

What is the Hex Calculator?: Hexadecimal is base 16 (0–9, A–F). Place values are powers of 16; each digit is four binary bits. Arithmetic uses the same column rules as decimal but carry/borrow happens at 16.
How do I use the Hex Calculator?: Enter the required values, then calculate. The Hex Calculator shows results, formulas, and step-by-step work when available. No account is required.
What formula does the Hex Calculator use?: Σ dᵢ·16ⁱ · A–F=10–15 · carry at 16

Browse categories

Hex calculator

Add, subtract, multiply, or divide two hex values — or convert hex ↔ decimal — with place-value tables and column carries, like a hex worksheet.

How it works

What is hexadecimal?

Hexadecimal (base 16) works like decimal and binary, but its base is 16. Digits are 0–9 plus A–F (10–15). Each hex digit is exactly four binary bits (a nibble), so large binary values stay compact — e.g. 1010101010₂ = 2AA₁₆.

Hex → decimal (place values)

Each digit multiplies a power of 16. Rightmost is 16⁰ = 1, then 16, 256, … Example: 2AA₁₆ = (2×16²) + (A×16¹) + (A×16⁰) = (2×256) + (10×16) + (10×1) = 512 + 160 + 10 = 682₁₀.

Decimal → hex

Method A: find the largest power of 16 not greater than the number, subtract multiples of it, and repeat (coefficients 0–15 become digits 0–F). Method B: repeatedly divide by 16; remainders (read last→first) form the hex digits. Example: 1500₁₀ → 5DC₁₆.

Hex addition

Add columns right to left in decimal, treating A–F as 10–15. When a column total is ≥ 16, write (total mod 16) as a hex digit and carry floor(total ÷ 16). Example idea: B + 8 = 11 + 8 = 19₁₀ = 13₁₆ → write 3, carry 1.

Hex subtraction

Subtract columns right to left. When you need to borrow, the borrowed “1” is 16₁₀ (not 10), because the next column is sixteen times larger. If the subtrahend is larger overall, swap and mark the result negative.

Hex multiplication

Treat digit values in decimal (A–F = 10–15), multiply, write products in hex, then add partial products with hex addition. A hex multiplication table helps for hand work; this tool also shows a decimal check.

Hex division

Long division in hex uses the same layout as decimal, with hex multiply and subtract at each step. Equivalently, convert to decimal, divide, and convert the quotient and remainder back. This calculator reports both hex and decimal remainder.

Hex / binary / decimal conversion table

Handy triples for learning digits A–F and a few multi-digit values:

Hexadecimal	Binary	Decimal
0	0	0
1	1	1
2	10	2
3	11	3
4	100	4
5	101	5
6	110	6
7	111	7
8	1000	8
9	1001	9
A	1010	10
B	1011	11
C	1100	12
D	1101	13
E	1110	14
F	1111	15
14	10100	20
3F	111111	63

Related calculators

Binary shows the underlying bits (four bits per hex digit). The basic calculator handles everyday decimal arithmetic.

How it works

Hexadecimal is base 16 (0–9, A–F). Place values are powers of 16; each digit is four binary bits. Arithmetic uses the same column rules as decimal but carry/borrow happens at 16.

Σ dᵢ·16ⁱ · A–F=10–15 · carry at 16

When to use

Use this tool when you need to: try hex addition 1AB + B78, or convert 2AA₁₆ → 682 and 1500₁₀ → 5DC₁₆. Open Steps for column work.

How to use this tool

Enter your values in the fields above.
Review the formula and any mode options for your problem.
Read the result and the step-by-step solution.

Try hex addition 1AB + B78, or convert 2AA₁₆ → 682 and 1500₁₀ → 5DC₁₆. Open Steps for column work.

Frequently asked questions

What is the Hex Calculator?: Hexadecimal is base 16 (0–9, A–F). Place values are powers of 16; each digit is four binary bits. Arithmetic uses the same column rules as decimal but carry/borrow happens at 16.
How do I use the Hex Calculator?: Enter the required values, then calculate. The Hex Calculator shows results, formulas, and step-by-step work when available. No account is required.
What formula does the Hex Calculator use?: Σ dᵢ·16ⁱ · A–F=10–15 · carry at 16

Browse categories

How it works

What is hexadecimal?

Hex → decimal (place values)

Each digit multiplies a power of 16. Rightmost is 16⁰ = 1, then 16, 256, … Example: 2AA₁₆ = (2×16²) + (A×16¹) + (A×16⁰) = (2×256) + (10×16) + (10×1) = 512 + 160 + 10 = 682₁₀.

Decimal → hex

Hex addition

Hex subtraction

Hex multiplication

Hex division

Hexadecimal

Binary

Decimal

100

101

110

111

1000

1001

1010

1011

1100

1101

1110

1111

10100

111111