b2KIT

Hexadecimal Calculator

Perform arithmetic operations on hexadecimal numbers with real-time decimal and binary conversion.

Tested tool guide Tested browser tools Checked August 16, 2026

What Hexadecimal Calculator does, with a checked example

Type an arithmetic expression in hexadecimal and the tool evaluates it in base 16, showing the decimal and binary value of every operand and of the result as you type. Because each hex digit stands for exactly four binary bits, the binary column lines up with the hex digits one for one, so a sum like A4 visibly becomes 1010 0100. The thing most users trip on is that hex has no decimal-looking shorthand: a number like 10 in hex means sixteen, so the decimal column, not the hex display, is where you confirm what a result is really worth.

Worked example

A concrete input and expected output from the current implementation.

Input

7F + 25

Expected output

A4 (decimal 164, binary 1010 0100)

F + 5 is 20 decimal, which is 16 + 4, so the units column writes 4 and carries 1; 7 + 2 + 1 is then 10 decimal, written as the digit A. The result A4 converts to 164 decimal, and each hex digit becomes four bits: A is 1010, 4 is 0100.

How the result is produced

1

Carry and borrow in base 16

Base-16 arithmetic uses the same carry and borrow rules as decimal, except a column carries when its sum reaches 16 instead of 10. Digits run 0 through 9, then A through F for 10 through 15. In 7F + 25, the units column sums F + 5 = 20 decimal, writes 4 and carries 1; the next column sums 7 + 2 + 1 = 10 decimal, written as the digit A.

2

Live decimal and binary conversion

Each hex digit maps to exactly four binary bits, so the binary column is a per-digit rewrite of the hex value: 7 is 0111, F is 1111, and A4 is 1010 0100. The decimal column instead sums each digit times a power of 16, counting from 16^0 at the rightmost position. Both columns recompute as the expression changes, so a mistyped digit shows up immediately in every view.

Good uses

  • Adding or subtracting memory addresses and register values while debugging, when the code, the logs, and the addresses are all printed in hex.
  • Converting between hex color components and decimal RGB channel values, such as confirming that 0x80 is 128 before using it in a style sheet or image buffer.
  • Checking the binary outcome of bit math, such as adding 0x40 to a mask and reading the binary column to confirm which bit position changed.

Limits and checks

  • 10 is not ten. In hex it means sixteen, and numbers like 20 mean thirty-two. The decimal column is the only place that states the quantity unambiguously.
  • Only digits 0-9 and letters A-F are valid in base 16. An entry such as 1G is not a hexadecimal number; treat it as an input error rather than something a converter can handle.
  • Subtraction can go negative and division can leave a remainder. Calculators differ in how they show a negative hex result, with a leading minus sign or a two's-complement bit pattern; check the decimal column to see which convention applies.

Common questions

I entered 10 + 10 and the hex result is 20, but that looks wrong. What happened?

It is correct: in hex, 10 is sixteen and 20 is thirty-two, and 16 + 16 is 32. Each digit position in base 16 is worth sixteen times the one to its right, so the display is not a typo. The decimal column confirms it by showing 32, the value the expression actually denotes.

What is the largest number this tool can handle?

That depends on the implementation, and the site does not document a limit. If you work with values at or above about 4.3 billion, which is 0xFFFFFFFF, watch for a result that looks truncated or wraps around, and confirm large results in the decimal column. When in doubt, split the calculation into smaller pieces.

References and verification

The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.

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