Calcolatore Binario — Formula

Binary Arithmetic

Bitwise Operations

  • AND: both bits must be 1 → result is 1
  • OR: at least one bit must be 1 → result is 1
  • XOR: exactly one bit must be 1 → result is 1

    • Example: 42 AND 15

  • 42 in binary: 101010
  • 15 in binary: 001111
  • AND result: 001010 = 10

    • Bitwise operations work on individual bits of the binary representation.

    Esempio Risolto

    Binary operations on 42 and 15.

    1. 42 + 15 = 57
    2. 42 - 15 = 27
    3. 42 AND 15: 101010 AND 001111 = 001010 = 10
    4. 42 OR 15: 101010 OR 001111 = 101111 = 47
    5. 42 XOR 15: 101010 XOR 001111 = 100101 = 37