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🔢 Binary & Hex Converter

Convert numbers between decimal, binary, hexadecimal, and octal bases instantly. Includes bit visualization, bitwise operations, and ASCII character lookup.

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Understanding Binary & Hex Converter

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What is a Binary & Hex Converter?

A Binary & Hex Converter is a tool that converts numbers between Binary (Base-2) and Hexadecimal (Base-16) formats. These numbering systems are widely used in computer programming, networking, digital electronics, memory addressing, and data representation.

Binary uses only 0s and 1s, while hexadecimal uses 0-9 and A-F to represent values more compactly.

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Number Systems Explained

  • Binary (Base-2) → Digits: 0, 1
  • Decimal (Base-10) → Digits: 0–9
  • Hexadecimal (Base-16) → Digits: 0–9, A–F
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Binary & Hex Conversion Tips

  • Every hexadecimal digit equals exactly 4 binary bits.
  • Group binary digits into sets of four when converting to hexadecimal.
  • Use hexadecimal for memory addresses, color codes, and machine-level programming.
  • Binary is commonly used in digital circuits and logic operations.
FAQ

Frequently Asked Questions

Common questions about Binary to hex calculations

How do you convert decimal to binary?
Divide the decimal number by 2 repeatedly, recording the remainders. Read the remainders from bottom to top. Example: 42 ÷ 2 = 21 r0 → 21 ÷ 2 = 10 r1 → 10 ÷ 2 = 5 r0 → 5 ÷ 2 = 2 r1 → 2 ÷ 2 = 1 r0 → 1 ÷ 2 = 0 r1. Reading remainders upward: 101010 = 42 in decimal.
How do you convert binary to hexadecimal?
Group binary digits into sets of 4 from right to left (padding with zeros if needed), then convert each group to its hex digit: 0000=0, 0001=1, …, 1001=9, 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F. Example: 11001010 → 1100 1010 → C A = 0xCA = 202 decimal.
What are common hex colors in web design?
Hex colors use 6 hex digits: #RRGGBB. White = #FFFFFF (255,255,255), Black = #000000 (0,0,0), Red = #FF0000 (255,0,0), Green = #00FF00, Blue = #0000FF. Each pair represents intensity 0–255. #0D9488 = R:13, G:148, B:136 (teal). The # prefix is CSS notation; the actual value is 3 bytes (24-bit color).
What is a bitwise AND / OR / XOR operation?
Bitwise operations work bit-by-bit: AND (A & B) — 1 only if both bits are 1. OR (A | B) — 1 if either bit is 1. XOR (A ^ B) — 1 if bits differ. NOT (~A) — flips all bits. Left shift (A << n) — multiplies by 2ⁿ. Right shift (A >> n) — divides by 2ⁿ. These operations are fundamental in low-level programming, cryptography, and networking (subnet masks).
What is two's complement?
Two's complement is how computers represent negative integers. To negate a number: flip all bits, then add 1. Example: +5 in 8-bit = 00000101. Flip bits: 11111010. Add 1: 11111011 = -5 in two's complement. The most significant bit (leftmost) indicates sign: 0 = positive, 1 = negative. This is why an 8-bit signed integer ranges from -128 to +127 (not -127 to +127).

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