HEX Calculator

Q: What is the maximum hex value this calculator supports?

This calculator supports hex numbers up to 32 characters long, which can represent values up to 2^128. This covers virtually all practical use cases including 64-bit addresses, cryptographic values, and large integer calculations. Bitwise operations are optimized for values up to 64 bits.

Perform hexadecimal addition, subtraction, multiplication, division, and bitwise operations (AND, OR, XOR, NOT, shifts). Get step-by-step solutions with multi-base results in hex, decimal, and binary.

Free to useNo sign-up requiredUpdated Jan 2026

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Quick Examples:

1A3F + 2B4C FFFF - 1234 AB x CD 1000 / 10 F0 AND 0F AA XOR 55 1 << 4

First Hex Number

Operation

Second Hex Number

Arithmetic

Bitwise

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About HEX Calculator

Welcome to the Hex Calculator, a comprehensive free online tool for performing hexadecimal arithmetic and bitwise operations. Whether you are a programmer debugging code, a student learning number systems, or an engineer working with low-level data, this calculator provides detailed step-by-step solutions and results in multiple number bases.

What is Hexadecimal?

Hexadecimal (often abbreviated as "hex") is a base-16 numeral system that uses 16 distinct symbols: the digits 0-9 represent values zero through nine, and the letters A-F (or a-f) represent values ten through fifteen. This makes hexadecimal ideal for representing binary data in a compact, human-readable format.

Hex	0	1	2	3	4	5	6	7	8	9	A	B	C	D	E	F
Dec	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
Bin	0000	0001	0010	0011	0100	0101	0110	0111	1000	1001	1010	1011	1100	1101	1110	1111

Why Use Hexadecimal?

Compact binary representation: Each hex digit represents exactly 4 binary bits (a nibble), making conversion straightforward.
Memory addresses: Computer memory locations are typically displayed in hex format.
Color codes: Web colors use hex notation (e.g., #FF5733 for orange-red).
MAC addresses: Network hardware identifiers use hex pairs (e.g., 00:1A:2B:3C:4D:5E).
Assembly language: Machine code instructions are often represented in hex.

Supported Operations

Arithmetic Operations

Addition (+): Add two hexadecimal numbers together.
Subtraction (-): Subtract the second hex number from the first.
Multiplication (x): Multiply two hexadecimal numbers.
Division (/): Integer division of hex numbers (quotient only).
Modulo (%): Find the remainder after division.

Bitwise Operations

AND (&): Returns 1 only where both bits are 1. Used for masking specific bits.
OR (|): Returns 1 where either bit is 1. Used for setting specific bits.
XOR (^): Returns 1 where bits differ. Used for toggling bits and encryption.
Left Shift (<<): Shifts bits left, effectively multiplying by powers of 2.
Right Shift (>>): Shifts bits right, effectively dividing by powers of 2.

How to Use This Calculator

Enter first hex number: Type your first hexadecimal number using digits 0-9 and letters A-F. The calculator accepts uppercase or lowercase letters.
Select operation: Choose your operation: arithmetic (+, -, *, /, %) or bitwise (AND, OR, XOR, <<, >>). Click on operation buttons or use the dropdown.
Enter second hex number: Input your second hexadecimal number. For shift operations, this is the number of bits to shift.
Calculate and view results: Click Calculate to see results in hexadecimal, decimal, and binary formats, along with step-by-step solution breakdown.

Understanding Bitwise Operations

Bitwise operations work on the binary representation of numbers, manipulating individual bits. They are fundamental in programming for tasks like flags, permissions, and low-level optimization.

Bitwise AND Example

0xF0 AND 0x0F = 0x00 (11110000 AND 00001111 = 00000000)

AND returns 1 only when both corresponding bits are 1. This is commonly used for "masking" to extract specific bits.

Bitwise OR Example

0xF0 OR 0x0F = 0xFF (11110000 OR 00001111 = 11111111)

OR returns 1 when at least one corresponding bit is 1. Used for combining flags or setting specific bits.

Bitwise XOR Example

0xAA XOR 0x55 = 0xFF (10101010 XOR 01010101 = 11111111)

XOR returns 1 when the corresponding bits are different. Useful for toggling bits and simple encryption.

Frequently Asked Questions

What is hexadecimal and why is it used?

Hexadecimal (base-16) is a numbering system that uses 16 symbols: 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15). It is widely used in computing because it provides a compact representation of binary data - each hex digit represents exactly 4 binary bits, making it easier to read memory addresses, color codes, and machine code.

How do I add hexadecimal numbers?

To add hexadecimal numbers: 1) Convert each hex digit to its decimal equivalent, 2) Add the numbers column by column from right to left, 3) If a sum exceeds 15, carry 1 to the next column, 4) Convert results back to hex. For example, A + 7 = 17 in decimal = 11 in hex (write 1, carry 1).

What are bitwise operations in hexadecimal?

Bitwise operations work on the binary representation of hex numbers. AND (&) returns 1 only if both bits are 1. OR (|) returns 1 if either bit is 1. XOR (^) returns 1 if bits are different. These operations are essential for masking, flag manipulation, and low-level programming tasks.

How do bit shift operations work?

Left shift (<<) moves all bits to the left by the specified number of positions, filling with zeros on the right. This effectively multiplies by 2 for each shift. Right shift (>>) moves bits to the right, dividing by 2 for each shift. For example, 0x10 << 2 = 0x40 (16 * 4 = 64).

What is the maximum hex value this calculator supports?