Hex Calculator
Hexadecimal arithmetic (+ − × ÷) with decimal equivalents, step-by-step working, and bitwise operations. Runs 100% in your browser — nothing is uploaded.
This tool: full hexadecimal arithmetic — add, subtract, multiply and divide hex numbers, every result shown in hex and decimal with the working shown, plus bitwise AND, OR, XOR, NOT and bit shifts.
Not this tool: hexadecimal-addition-calculator adds two hex numbers only; hex-dec-oct-bin-converter converts between number bases (no arithmetic); base64-to-hex decodes Base64 text into hex (an encoding tool, no arithmetic).
Worked examples
A5 + 3F = E4165 + 63 = 228 in decimal, and 228₁₀ = E4₁₆.
FF − 1 = FE255 − 1 = 254 in decimal, and 254₁₀ = FE₁₆.
10 × 10 = 100 (hex)Careful: 10₁₆ means sixteen. 16 × 16 = 256 in decimal, and 256₁₀ = 100₁₆.
FF ÷ 10 = F remainder F (hex)255 ÷ 16 = 15 remainder 15, so the quotient is F₁₆ with remainder F₁₆.
Frequently asked questions
What is a hex calculator?
A hex calculator performs arithmetic directly on hexadecimal (base-16) numbers: addition, subtraction, multiplication and division. This one shows every result in hex and decimal, explains each step, and also handles bitwise operations (AND, OR, XOR, NOT, shifts).
How do I add two hex numbers?
Type both values — the
0x prefix is optional — pick + and calculate. Example: A5 + 3F. A5₁₆ = 165, 3F₁₆ = 63, 165 + 63 = 228, and 228₁₀ = E4₁₆, so A5 + 3F = E4. The steps panel shows this conversion every time.How does hex subtraction work?
Exactly like decimal subtraction, except each borrow is worth 16 instead of 10. Example:
FF − 1 = FE, because 255 − 1 = 254 = FE₁₆. If the second number is larger the result is negative, shown with a minus sign, e.g. 1 − 2 = −1.How do I multiply hex numbers?
Convert both to decimal, multiply, then convert back. Watch out:
10 in hex means sixteen, not ten. So 10 × 10 = 100 in hex, because 16 × 16 = 256 in decimal and 256₁₀ = 100₁₆.How does hex division work?
This calculator does integer division and reports both the quotient and the remainder. Example:
FF ÷ 10 (hex). 255 ÷ 16 = 15 remainder 15, so the quotient is F and the remainder is F. Dividing by zero shows an honest error.What is FF minus 1 in hex?
FE. FF₁₆ is 255 in decimal, minus 1 is 254, and 254 in hex is FE.How do I read the decimal value of a hex result?
Every result shows a decimal companion underneath the big hex answer, and the steps list shows the conversion in both directions — for example
228 (decimal) = 0xE4 (hex).What do AND, OR and XOR do on hex numbers?
They compare the numbers bit by bit: AND keeps a 1 only where both bits are 1, OR where either is 1, XOR where exactly one is 1. Examples:
FF AND 0F = 0F, FF OR 0F = FF, FF XOR 0F = F0. The binary breakdown is shown so you can see why.How does hex NOT work?
NOT flips every bit, but it needs to know how many bits to flip, so choose a width: 8, 16, 32 or 64.
NOT FF at 8-bit is 00; at 16-bit it is FF00. A value that does not fit the chosen width is rejected with an error.What are hex shifts (<< and >>)?
Shifting moves all bits left or right by a number of positions — the shift count is an ordinary decimal number.
1 << 4 = 10 in hex (16 in decimal); each left shift by one doubles the value. 10 >> 1 = 8 in hex.Why do programmers use hexadecimal?
One hex digit maps exactly to 4 bits (a nibble), so hex is a compact way to write binary:
FF is shorter than 11111111. That is why you see hex in memory addresses, color codes like #FF8000, and low-level debugging.How is this different from a hex converter or an addition-only tool?
The hexadecimal-addition-calculator adds two hex numbers and nothing else. The hex-dec-oct-bin-converter converts a value between number bases but does no arithmetic. Base64-to-hex decodes an encoding. This tool is the full arithmetic workbench:
+ − × ÷ with steps, decimal companions, and bitwise operations.Related tools
- Hex ↔ Dec ↔ Oct ↔ Bin converter — convert a value between number bases (no arithmetic).
- Hexadecimal addition calculator — adds two hex numbers (addition only).
- Hexadecimal chart — hex / decimal / binary reference table.
Free tool by NRTechStudio