Hex to Decimal Converter
Convert hexadecimal numbers to decimal, binary, and octal with full positional math steps.
Privacy First: 100% Client-Side Processing
Processed in your browser. Files are never uploaded.
How to Use the Hex to Decimal Converter
- 1Type any valid hexadecimal string into the input box (digits 0–9 and letters A–F).
- 2The tool calculates the base-10 integer equivalent instantly.
- 3Inspect the step-by-step positional expansion (d × 16ⁿ).
- 4Copy the decimal, binary, or octal equivalent.
Formula & How It Works
Base-16 Expansion Formula
Each hexadecimal digit corresponds to a power of 16 according to its position from right to left (starting at position 0). Values A=10, B=11, C=12, D=13, E=14, and F=15.
Worked Examples
Converting 2F
Input: 2F
Explanation: (2 × 16¹) + (15 × 16⁰) = 32 + 15 = 47.
Converting 1A3
Input: 1A3
Explanation: (1 × 16²) + (10 × 16¹) + (3 × 16⁰) = 256 + 160 + 3 = 419.
Frequently Asked Questions
Can I prefix the hex input with 0x?▼
Yes, the converter automatically handles and trims optional '0x' or '#' prefixes.
Are hex letters case-sensitive?▼
No, '3f', '3F', '0x3F', and '3f' all resolve to the exact same value of 63.
Can I convert decimal back to hex?▼
Yes, use the bidirectional toggle to convert decimal numbers to hexadecimal.
What is the maximum hex value supported?▼
The tool supports arbitrarily long hex numbers using BigInt arithmetic without loss of precision.
Related Online Tools
Explore complementary calculators and converters with instant client-side execution
MB to GB Converter
Convert Megabytes (MB) to Gigabytes (GB) and Mebibytes (MiB) to Gibibytes (GiB) instantly.
Roman Numeral Converter
Convert Arabic integers to Roman numerals (I, V, X, L, C, D, M) and Roman numerals to integers with detailed steps.
Factoring Calculator
Find prime factors of integers and factor quadratic or polynomial expressions instantly.
Decimal to Fraction Calculator
Convert terminating and repeating decimals to simplified fractions and mixed numbers.
Ratio Calculator
Simplify ratios to lowest terms, solve equivalent proportions, and scale dimensions.
Proportion Calculator
Solve for the unknown variable in any proportion (A/B = C/D) with cross-multiplication steps.
Explore Other Tool Categories
Browse our full collection of 50 free web utilities
Unit Converters
Exact metric & imperial conversions for weight, length, temperature & volume.
Date & Time
Calendar arithmetic, business day intervals, stopwatch & multi-counter.
Home & Construction
Paint coverage, pool volume, topsoil, roof pitch, square footage & materials.
Finance
Discount savings, markup, profit margins, CD returns & overtime pay.