What Is a Hex Calculator?
This calculator converts between hexadecimal (base 16), decimal (base 10), binary (base 2), and octal (base 8) number systems — commonly needed in programming, web development (color codes), and computer science.
How to Use the Hex Calculator
- Enter a value in decimal or hexadecimal.
- All other representations (binary, octal) update instantly.
How Hexadecimal Works
Worked Example
F = 15, F = 15
FF = 15×16¹ + 15×16⁰ = 240 + 15 = 255
Binary: 11111111, Octal: 377
Common Uses for Hexadecimal
- Web design: colors are commonly specified in hex (e.g., #FF5733).
- Programming: memory addresses and byte values are often shown in hex for compactness.
- Debugging: hex dumps and error codes frequently use hexadecimal notation.
Common Mistakes to Avoid
- Forgetting that hex uses letters A-F for values 10-15, not just digits 0-9.
- Confusing hex place values (powers of 16) with decimal place values (powers of 10).
- Mixing up uppercase and lowercase hex letters — both represent the same values, but consistency matters for readability.
Frequently Asked Questions
Multiply each hex digit by its corresponding power of 16 (based on position), treating A-F as 10-15, then sum the results.
Hexadecimal is base 16, requiring 16 distinct symbols. After 0-9, the letters A through F represent the values 10 through 15.
Colors on websites are commonly specified using 6-digit hex codes (e.g., #FFFFFF for white), where each pair of digits represents red, green, and blue intensity.
Repeatedly divide the decimal number by 16, recording the remainders (converting 10-15 to A-F), then read the remainders in reverse order.
Each hex digit corresponds exactly to 4 binary digits (bits), making hex a compact, human-readable way to represent binary data.