Perform hexadecimal arithmetic — addition, subtraction, multiplication, and division — on hex values and see results in hex, decimal, binary, and octal.
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Enter values Provide two hexadecimal numbers and select an operation to calculate.
Hexadecimal arithmetic: add, subtract, multiply, and divide in base 16
The hex calculator performs addition, subtraction, multiplication, and division on hexadecimal (base-16) numbers. Enter two hex values, choose an operation, and see results in hex, decimal, binary, and octal.
How hexadecimal arithmetic works
Hexadecimal uses sixteen digits: 0 through 9 and A through F, where A equals 10 and F equals 15 in decimal. Carrying and borrowing work the same way as in decimal, except the base is 16 instead of 10.
Hex is popular in computing because each hex digit maps neatly to exactly four binary bits, making it a compact way to represent binary data such as memory addresses, colour codes, and MAC addresses.
Common uses of hexadecimal
Web colours are expressed as six-digit hex codes. Memory addresses in debuggers and low-level programming are shown in hex. File checksums and hash digests are typically displayed as hex strings.
Worked example and interpretation
A worked example helps translate the hexadecimal arithmetic maths into a realistic scenario so the user can compare the headline result with a concrete set of inputs.
That matters because a result is easier to trust when the page shows how the same logic behaves in a practical case instead of leaving the formula abstract.
Frequently asked questions
Are hex letters case-sensitive?
No. A through F and a through f represent the same values. Convention varies by context, but the calculator accepts either.
Why is hex used instead of binary?
Hex is more compact. One hex digit replaces four binary digits, making large binary values much easier to read and type.
How can I check the hexadecimal arithmetic: add, subtract, multiply, and divide in base 16 result manually?
The safest manual check is to follow the same formula or rule one step at a time and compare that working with the calculator output. That catches sign errors, bracket mistakes, and input-order mixups without requiring any extra method beyond the underlying maths itself.