Hex Calculator
Gamitin ang Hex Calculator na ito para makuha ang mabilis at tumpak na resulta.
Paano gamitin ang calculator na ito
- Ilagay ang Hex Number A
- Ilagay ang Hex Number B
- I-click ang Kalkulahin na buton
- Basahin ang resultang ipinapakita sa ibaba ng calculator
Understanding Hexadecimal (Base-16)
Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15). It's extremely useful in computing because one hex digit represents exactly 4 bits, making it a compact representation of binary. The number FF in hex = 11111111 in binary = 255 in decimal.
Conversion from hex to decimal: multiply each digit by its positional power of 16. For 1F3: 1×16² + F×16¹ + 3×16⁰ = 256 + 240 + 3 = 499. From decimal to hex: divide repeatedly by 16 and record remainders. 499 ÷ 16 = 31 R3; 31 ÷ 16 = 1 R15 (=F); 1 ÷ 16 = 0 R1. Read upward: 1F3. ✓
Hex is ubiquitous in computing contexts: memory addresses (0x7FFFFFFF), color codes (#FF5733 in CSS), file headers (ELF magic bytes: 7F 45 4C 46), Unicode code points (U+1F600 = 😀), and machine code (assembly language). The '0x' prefix indicates hexadecimal in most programming languages.
Hex Arithmetic Operations
Hex addition and subtraction work like decimal but carry at 16 instead of 10. Adding A3 + 5F: 3+F=12 (write C, no carry since C<16); A+5=F. Result: FC. Verify: 163 + 95 = 258 = 0×256 + 15×16 + 12 = FC₁₆. ✓
For subtraction, borrow from the next column in units of 16. Multiplying: A × 3 = 1E (10 × 3 = 30 = 1×16 + 14 = 1E₁₆). For large hex operations, converting to decimal, calculating, and converting back is often more reliable than working directly in hex.
Bitwise operations on hex are intuitive: AND (&) gives common bits, OR (|) combines bits, XOR (^) flips differing bits. These are commonly used in programming to set, clear, or toggle specific bits. For example, to check if the 4th bit of a byte is set: (byte & 0x08) != 0.
Hex in Web Design, Programming, and Security
In web design, hex color codes define colors in HTML and CSS. Each pair of hex digits represents a color channel: #RRGGBB. #FF0000 = full red, #00FF00 = full green, #0000FF = full blue, #FFFFFF = white, #000000 = black. Short form #RGB is also valid: #F00 = #FF0000. The alpha channel in #RGBA or rgba() represents transparency (0=transparent, FF=opaque).
In cybersecurity and forensics, hex editors reveal raw file contents. Every file format has a signature in its first bytes: PNG starts with 89 50 4E 47, JPEG with FF D8 FF, PDF with 25 50 44 46. Knowing hex allows reading these signatures directly. Shellcode and exploit payloads are expressed in hex bytes.
In programming (especially C/C++, assembly, and systems programming), hex is preferred for addresses, bit masks, and constants because of its direct correspondence with binary. A 32-bit value fits in exactly 8 hex digits: 0xDEADBEEF, 0xCAFEBABE (Java class file magic), and 0x0BADF00D (memory debugging sentinel values) are famous examples in computer science lore.
Frequently Asked Questions
How do I convert between hex and binary quickly?
Each hex digit corresponds to exactly 4 binary bits. A=1010, B=1011, C=1100, D=1101, E=1110, F=1111. So 0xAF = 1010 1111 in binary. This direct correspondence is why hex is so useful for programmers working with binary data.
Why do CSS colors use hexadecimal?
CSS uses hex because each RGB channel (0-255) fits in exactly 2 hex digits (00-FF), making the representation compact and predictable. #RRGGBB covers all 16.7 million possible colors cleanly and maps directly to the 24-bit color model used in display hardware.
What does 0xFF equal in decimal?
0xFF = 15×16 + 15 = 240 + 15 = 255. In binary, FF = 1111 1111, which is a fully saturated byte. 255 appears constantly in computing as the maximum value of an unsigned byte.
Huling na-update: March 2026