Hex Calculator
Perform hex conversions and arithmetic operations. Convert between hex, decimal, binary, octal, and add, subtract, AND, OR, XOR hex numbers.
Result
Please check your inputs.
How to Use This Tool
Open the Hex Calculator and select your desired operation from the tabs: 'Convert' (between hex, decimal, binary, octal) or 'Arithmetic' (add, subtract, AND, OR, XOR).
If converting, choose the source numeral system, enter the value, and click 'Convert'.
For arithmetic, input up to two hex numbers in the provided fields—use digits 0-9 and letters A-F (uppercase or lowercase).
Select the operation (e.g., 'Add' or 'XOR') and press 'Calculate'.
Review the results instantly displayed in hex, decimal, binary, and octal formats.
What Is Hex Calculator?
A hex calculator is a specialized tool for working with hexadecimal (base-16) numbers—a numeral system that uses digits 0-9 and letters A-F. It simplifies converting between hex, decimal, binary, and octal, and performs arithmetic like addition, subtraction, and bitwise operations (AND, OR, XOR) directly on hex values. This matters because hex is widely used in computing for memory addresses, color codes (e.g., #FF5733), and machine-level data representation. Instead of manually converting or doing error-prone binary math, the hex calculator saves time and reduces mistakes, making it essential for programmers, electronics engineers, and students learning digital systems.
Formula
For hex-to-decimal conversion: Value = Σ (digit_n × 16^n) where 'digit_n' is each hex digit (0-15, with A=10, B=11, etc.) and 'n' is its position from right (starting at 0). For example, hex 1A3 = 1×16² + 10×16¹ + 3×16⁰ = 256 + 160 + 3 = 419 decimal. For arithmetic, the calculator uses standard binary addition, subtraction, or bitwise logic on the binary equivalents of hex digits. For bitwise AND: each bit of the first number is ANDed with the corresponding bit of the second (1 AND 1 = 1, else 0). The tool handles all internal conversions automatically.
Tips for Best Results
🔤 Always prefix hex numbers with '0x' in code, but the calculator accepts plain hex—just use digits and A-F. Mixing cases (e.g., 'a3F') works fine.
🔄 Use the conversion feature sideways: if you have a decimal value, select 'Decimal to Hex' to quickly get its hex representation for color codes or memory addresses.
🧮 For bitwise operations, remember AND strips bits that aren't common, OR combines them, and XOR toggles. Great for setting or clearing flags in embedded systems.
⚠️ Double-check your hex input length—leading zeros are ignored, but missing a digit changes the result. Paste directly from documentation to avoid typos.
Frequently Asked Questions
What is the main use of a hex calculator?
It's used to quickly convert between hex, decimal, binary, and octal, and to perform arithmetic like addition, subtraction, and bitwise operations on hex numbers without manual calculations. This is especially helpful in programming, debugging memory dumps, and electronics design.
How do I convert hex to decimal manually, and how does the calculator help?
Manually, multiply each hex digit by 16 raised to its position power and sum the results. The calculator does this instantly—just enter your hex value and choose 'Hex to Decimal'—avoiding mental math and reducing errors.
Can I subtract hex numbers and get results in other bases?
Yes. After performing a hex subtraction (e.g., 'F2 - A5'), the calculator displays the result in hex, decimal, binary, and octal simultaneously. It handles borrowing automatically, just like decimal subtraction but in base 16.