Hex Calculator
Do math directly on hexadecimal numbers. Type two base-16 values, choose an operation — add (+), sub (-), mult (×), div (÷), modulo (mod), exp (^), and (&), or (|), not (~), xor (^), left shift (<<) or right shift (>>) — and press Calculate to see the hex, decimal and binary result with full calculation steps. Everything runs locally in your browser.
Enter the first hex number
Type a base-16 value using digits 0-9 and letters A-F, e.g. FF (= 255 in decimal). A leading minus sign and hex fractions are allowed, e.g. -3 or A.B. Invalid characters (including a 0x prefix or spaces) are highlighted in red and clear the previous result.
Pick an operation (and the 2nd number)
Choose from add, sub, mult, div, mod, exp, and, or, not, xor, left shift or right shift. Only not (~) needs no second number. For shifts the second field is the shift count as a hex integer, e.g. 4 means shift by 4.
Press Calculate, read three bases
The result appears in hex, decimal and binary, plus the calculation steps, e.g. FF + FF = 255 + 255 = 510 = 1FE₁₆. Tick Digit grouping to space the digits (1 234 567), and copy any result with its Copy button.
Hex arithmetic and bitwise operations
- Hex addition example
- Read each value as a power of 16 first: FF₁₆ + FF₁₆ = 255₁₀ + 255₁₀ = 510₁₀ = 1FE₁₆. The same decimal bridge works for subtraction, multiplication and division — the calculation steps panel shows every step. Division can produce fractional hex, e.g. FF ÷ 2 = 127.5 = 7F.8₁₆.
- Bitwise operations are limited to 32 bits
- and (&), or (|), not (~) and xor (^) convert each input with parseInt(x, 16) and apply 32-bit integer logic, just like JavaScript — longer values wrap to their low 32 bits. Results print signed, e.g. FFFFFFFF and 80000000 = -80000000₁₆, while not (~) renders the unsigned complement: ~FF = FFFFFF00 = 4294967040.
- How the shifts work
- Left shift multiplies by 2 to the power of the shift count and right shift divides by it: FF << 4 = 255 × 2⁴ = 4080 = FF0₁₆, and 1 >> 1 = 0.5 = 0.8₁₆. Because right shift is a true division it keeps fractions instead of discarding bits, and shifts are not capped at 32 bits.
- What inputs does the calculator reject?
- Anything outside an optional minus sign, hex digits and one point — letters G-Z, spaces, or a 0x prefix. The bad field is highlighted and all results clear, so a stale result never survives a bad edit. A non-integer exponent shows "Please enter integer exponent"; a negative or fractional shift count is rejected. Dividing by zero returns Infinity and modulo by zero returns NaN.
- When are results padded or grouped?
- For and, or, not and xor a non-negative hex result is zero-padded to the wider input, so FF00 and 0FF0 shows 0F00. With Digit grouping on, hex is grouped in 2s, decimal in 3s and binary in 4s: 1FE becomes 1 FE and 510 stays 510.
More number work: browse all Math & Statistics tools.
Privacy: every calculation runs in your browser tab — no value you type is sent anywhere. Copy result uses your clipboard only. Bitwise ops follow 32-bit integer semantics; arithmetic runs on exact base-16 fractions.