Hex calculator — quick guide
1) Core idea
Hexadecimal (base‑16) uses digits 0–9 and A–F (A=10 … F=15). It’s compact for representing binary: one hex digit maps to exactly four bits.
2) How this tool works
- Parses your hex inputs, converts to decimal, performs +, −, ×, ÷ (integer division for ÷), then shows results in hex/dec/bin/oct.
- Converter fields stay in sync across hex, decimal, binary, and octal.
3) Sanity checks
- Valid hex: only 0–9, A–F (case‑insensitive).
- Division by zero is invalid.
- For negative outcomes from subtraction, representation depends on chosen base; this tool shows signed decimal and hex magnitude.
4) Shortcuts
- Each hex digit ↔ 4 bits: A=1010, F=1111.
- Shift left by 1 bit ≡ ×2; by 4 bits ≡ ×16 (one hex place).
- Memorize common powers: 2⁴=10₁₆, 2⁸=100₁₆, 2¹²=1000₁₆.
5) Pitfalls
- Mixing decimal and hex digits (e.g., using “G”).
- Forgetting carries occur at 16, not 10.
- Assuming uppercase vs lowercase matters (it doesn’t).
6) Micro‑examples
- 1A + 2F = 49₁₆ (26 + 47 = 73₁₀).
- FF + 1 = 100₁₆.
- 2A ↔ 42₁₀ ↔ 101010₂ ↔ 52₈.
7) Mini‑FAQ
- Why base‑16? Human‑friendly grouping of binary (nibbles/bytes).
- Signed numbers? Two’s complement is context‑dependent; this tool returns arithmetic results numerically.
- Whitespace? Ignored in inputs.
8) Action tip
Use the converter grid to sanity‑check results quickly across bases after any operation.