Logic Expressions

  • logic expression is a way of expressing a logic gate or logic circuit as an equation
  • The output appears on the left of the equals sign with the inputs and logic gates on the right

Gate

Symbol

Truth Table

Logic Expression
NOTnot
AZ0110
Z=NOT A
ANDand
ABZ000010100111
Z=A AND B
ORor
ABZ000011101111
Z=A OR B
NANDnand
ABZ001011101110
Z=A NAND B
NORnor
ABZ001010100110
Z=A NOR B
XORxor
ABZ000011101110
Z=A XOR B
  • Logic circuits containing multiple gates can also be expressed as logic expressions/statements

An example logic circuit containing two inputs

screenshot-2023-05-30-at-09-28-55
  • The logic circuit above can be expressed as the logic expression Q= NOT(A OR B) 

An example logic circuit containing two inputs

screenshot-2023-05-30-at-09-29-06
  • The logic circuit above can be expressed as the logic expression Q= (NOT A) AND B 

An example logic circuit containing three inputs

screenshot-2023-05-30-at-09-34-40
  • The logic circuit above can be expressed as the logic expression P = ((NOT A) OR B) NAND C

An example logic circuit containing three inputs

screenshot-2023-05-30-at-09-35-30
  • This logic circuit above can be expressed as X = NOT (A NAND B) OR (B NOR C)

Loading

error: Content is protected !!