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Understanding Binary Operations

Number Systems

  • Binary: Base-2 (0,1)
  • Octal: Base-8 (0-7)
  • Decimal: Base-10 (0-9)
  • Hexadecimal: Base-16 (0-9,A-F)

Arithmetic Operations

  • Addition: 1 + 1 = 10 (binary)
  • Subtraction: Uses 2's complement
  • Multiplication: Similar to decimal
  • Division: Returns quotient only

Bitwise Operations

  • AND (&): 1 if both bits are 1
  • OR (|): 1 if any bit is 1
  • XOR (^): 1 if bits are different
  • NOT (~): Inverts all bits