Enter two hexadecimal numbers and choose an operation (add, subtract, multiply, or divide) to get the result in hex, decimal, and binary. The Hex Calculator also shows you the step-by-step breakdown so you can follow the arithmetic in base 16.
Hexadecimal Result
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Decimal Result
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Binary Result
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First Number (Decimal)
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Second Number (Decimal)
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A hexadecimal calculator performs arithmetic — addition, subtraction, multiplication, and division — directly on base-16 numbers. It accepts hex inputs (digits 0–9 and letters A–F) and returns results in hexadecimal, decimal, and binary without requiring manual conversion first.
Hexadecimal is widely used in computing to represent binary data in a more compact, human-readable form. Common uses include memory addresses, color codes in web design (e.g. #FF5733), machine-level debugging, and encoding byte values in networking and cryptography.
Each hex digit maps exactly to four binary digits (bits), so a long binary string like 1010101010 can be written as 2AA in hex. This makes hex far more concise and easier for developers to read and write while still being directly convertible to binary.
Add each column from right to left just like decimal addition. If the sum of a column exceeds 15 (F), subtract 16 and carry 1 to the next column. For example, 1F + 2A: F (15) + A (10) = 25, write 9 and carry 1; 1 + 2 + 1 (carry) = 4, giving 49 in hex.
Multiply each hex digit by 16 raised to the power of its position (starting at 0 from the right), then sum the results. For example, 7DE = (7 × 256) + (13 × 16) + (14 × 1) = 1792 + 208 + 14 = 2014 in decimal.
0xFF is a common hexadecimal literal meaning the decimal value 255, or 11111111 in binary. It represents the maximum value of a single unsigned 8-bit byte and is frequently used as a bitmask in programming to isolate the lowest 8 bits of a larger number.
Some frequently encountered hex values include 0xFF (255, maximum byte value), 0x00 (0, null), 0x7F (127, max signed byte), 0xFFFF (65535, max 16-bit value), and 0xDEADBEEF (a debug marker used in memory). Web colors like #FFFFFF (white) and #000000 (black) are also everyday hex values.
The calculator supports subtraction, which can produce a negative result if the second hex number is larger than the first. The result will be displayed with a negative sign in decimal; in hex systems, negative numbers are typically represented using two's complement notation at the hardware level.