Number Systems Quiz

Number Systems

• The base number of a hexadecimal number system is 16.
• The base number of an octal number system is 8.
• The decimal number 66 is equal to 1000010 in binary.

Number Conversion

• Decimal to Binary:
  • The decimal number 66 is equal to 1000010 in binary.

Binary Operations

• AND:
  • The binary operation AND is used for multiplication.
  • The AND operation is represented by the symbol &.
  • The AND operation will return a 1 if both operands are 1, otherwise it will return a 0.
• OR:
  • The binary operation OR is used for addition.
  • The OR operation is represented by the symbol |.
  • The OR operation will return a 1 if one or both operands are 1, otherwise it will return a 0.
• XOR:
  • The binary operation XOR (exclusive OR) is used to determine if exactly one of two operands is 1.
  • The XOR operation is represented by the symbol ^.
  • The XOR operation will return a 1 if one operand is 1 and the other is 0, otherwise it will return a 0.
• NOT:
  • The binary operation NOT is used to invert the bits of a binary number.
  • The NOT operation is represented by the symbol ~.
  • The NOT operation returns the opposite of the input operand, so 0 becomes 1 and 1 becomes 0.