Hex Calculator

Free online Hex Calculator with step-by-step solutions. 100% client-side, no data upload.

Hexadecimal InputEnter hexadecimal numbers (0-9, A-F)

X (hex)

Y (hex)

Operation

💡 Tip: Valid digits are 0-9 and letters A-F (case insensitive). Leading zeros are ignored.

ResultHex Arithmetic

Click "Calculate" to see the detailed steps.

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Hex Calculator

This free online Hex Calculator performs arithmetic operations (addition, subtraction, multiplication, division) and bitwise operations (AND, OR, XOR, NOT, NAND, NOR, XNOR, shift left, shift right) on hexadecimal numbers instantly in your browser, with no signup, no ads, and no server uploads.

What is the Hexadecimal Number System? Hexadecimal (often shortened to "hex") is a base-16 numeral system that uses sixteen distinct symbols: the digits 0-9 to represent values zero through nine, and the letters A-F to represent values ten through fifteen. It was popularized by IBM in the 1960s for use in computer systems and assembly programming.

Each hex digit corresponds to exactly 4 binary bits, making it an excellent shorthand for binary. For example, the binary number 11111111 can be written compactly as FF in hex. This makes hex the natural choice for representing memory addresses, machine code, color codes in web design (#RRGGBB), and cryptographic digests (SHA-256 produces a 64-character hex string).

Hex vs Binary vs Decimal - Decimal (base-10): Uses digits 0-9. Familiar but inefficient for computing. - Binary (base-2): Uses digits 0-1. The native language of computers but verbose. - Hexadecimal (base-16): Uses 0-9 and A-F. Compact bridge between human readability and machine efficiency.

Applications Hexadecimal is used throughout computing: memory addressing and debugging, HTML/CSS color codes (#FF0000, #00FF00, #0000FF), machine code and assembly language, network MAC addresses, cryptographic hashes and keys, Unicode code points (U+0041 = 'A'), and error codes in system debugging.

Privacy & Performance All calculations run locally in your browser. No data is transmitted, logged, or stored on any server. Results appear instantly with no page reloads.

🔒 Client-side only⚡ Web Worker processing🌐 Works offline🛡️ Zero server logs

Frequently Asked Questions

Got questions about hexadecimal numbers, how they relate to binary, or how to use this tool? We've got answers.

What is the hexadecimal number system?

Hexadecimal (base-16) is a numeral system that uses 16 distinct symbols: 0-9 represent values 0-9, and A-F represent values 10-15. It is widely used in computing as a compact representation of binary data, since each hex digit corresponds to exactly 4 binary bits (a nibble).

Why is hexadecimal used in computing?

Hexadecimal is used because it provides a more human-friendly representation of binary-coded values. One hex digit represents 4 bits, making it much more compact than binary. Memory addresses, color codes (#FF0000 for red), and cryptographic hashes are commonly expressed in hex.

How do I convert hex to decimal?

Multiply each hex digit by 16 raised to its position power, then sum. For example: 1A = 1×16¹ + 10×16⁰ = 16 + 10 = 26. The letters A-F represent values 10-15 respectively.

How do I convert hex to binary?

Convert each hex digit to its 4-bit binary equivalent: 0=0000, 1=0001, ..., 9=1001, A=1010, B=1011, C=1100, D=1101, E=1110, F=1111. For example: 1A = 0001 1010 in binary.

What are bitwise operations on hex numbers?

Bitwise operations (AND, OR, XOR, etc.) work on the underlying binary representation of hex numbers. Each hex digit represents 4 bits, so operations are performed bit by bit on the binary equivalent.

What is the difference between hex and decimal arithmetic?

Hexadecimal arithmetic follows the same rules as decimal arithmetic, but uses base 16 instead of base 10. When adding, you carry when a digit exceeds 15 (F). When subtracting, you borrow 16 instead of 10.

Is this calculator private?

Yes. All calculations run locally in your browser. No data is transmitted, logged, or stored on any server.