Hexadecimal Addition Calculator
Add two non-negative hexadecimal integers and see what happens in every base-16 column. The result includes carries and a decimal equation that independently checks the sum.
Written and checked by TheToolNet Editorial Team · Last reviewed: September 19, 2026 · How we check arithmetic tools
Hex addition carries at 16. For example, 11 + 15 = 26 in decimal, so B + F = 1A in hexadecimal.
Add hexadecimal numbers with steps
How hexadecimal addition works
Align the numbers on the right and add from right to left. The procedure is the same as decimal addition except that a column carries when its decimal total reaches 16. Divide the column total by 16: write the remainder as the current hex digit and carry the quotient.
Hex addition examples
| Problem | Decimal check | Hex sum |
|---|---|---|
| A + 5 | 10 + 5 = 15 | F |
| F + 1 | 15 + 1 = 16 | 10 |
| 1A + 2B | 26 + 43 = 69 | 45 |
| ABC + 9F | 2748 + 159 = 2907 | B5B |
Hexadecimal digit values
Hexadecimal uses 0–9 followed by A–F. The letters represent decimal values A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15. See the decimal to hex table for a printable reference.
Scope and limitations
The calculator accepts non-negative whole hexadecimal numbers up to 512 digits, with optional spaces, underscores, or 0x prefixes. It does not model fixed-width overflow, signed two's-complement arithmetic, or fractional hex values.
Frequently asked questions
When do I carry in hexadecimal addition?
Carry whenever a column's decimal total is 16 or more.
What is F plus 1 in hexadecimal?
It is 10₁₆, just as 9 + 1 becomes 10 in decimal.
Can I check hex addition in decimal?
Yes. Convert both operands to decimal, add them, and convert the sum back to hexadecimal. The calculator prints this check automatically.