How to Convert Hexadecimal to Decimal
Short answer
Hex uses base 16 (0–9 and A–F). Digits are weighted by powers of 16. Example: 2F = 2×16 + 15 = 47 decimal.
Programmers meet hex in colours, memory addresses and hashes. The place-value method mirrors binary conversion.
Place values
… 16³ | 16² | 16¹ | 16⁰. Letters: A=10 … F=15.
Worked example
1A3 = 1×256 + 10×16 + 3 = 256 + 160 + 3 = 419.
Tools
Use the binary, hex & decimal converter. For CSS colours, hex to RGB and the color converter help. Related: binary to decimal.
Hashes
SHA-256 outputs are hex strings — explore digests with the hash generator for learning.
See also: what is a uuid.
See also: a levels exam guide.
More worked numbers
Change one input at a time so you build intuition. Write the formula, substitute values, then confirm with the free number base converter. If the tool disagrees with your hand math, check units first (months vs years, percent vs decimal, inclusive ranges).
Common mistakes to avoid
- Mixing up percent and decimal forms (15% is 0.15, not 15).
- Using the wrong base when calculating a change or a reverse percentage.
- Ignoring fees, tax or daylight saving when the real-world total depends on them.
- Rounding too early in multi-step arithmetic.
How to practise
Invent three mini-problems from your own life — a bill, a grade, a trip, a loan quote — and solve them on paper before you open the calculator. Teaching the steps to someone else is one of the fastest ways to lock in the method.
Related tools on ViralScopeHub
After you finish this guide, explore the linked tools above and the related articles for neighbouring skills. Our calculators run privately in your browser with no sign-up, so you can check homework, budgets or work estimates without uploading data.
Quick reference card
Keep the short answer box at the top of this page as your cheat sheet. When a search result brought you here for a specific phrase, that box is designed to match the query with the formula first, then the examples below fill in the judgement calls.
Frequently asked questions
How do I convert hex to decimal?
Expand each digit by its power of 16 and add. Double-check units and confirm with the linked tool on this page before you rely on the figure for money or school decisions.
What number is F in hex?
15 in decimal. Double-check units and confirm with the linked tool on this page before you rely on the figure for money or school decisions.
Is 0x a required prefix?
In many languages yes; in pure maths you can omit it if the base is clear. Double-check units and confirm with the linked tool on this page before you rely on the figure for money or school decisions.
Can I convert hex colours?
Yes — each pair of hex digits is a 0–255 channel. Double-check units and confirm with the linked tool on this page before you rely on the figure for money or school decisions.