Boolean Function and Logic gates

Boolean function

Boolean functions is an expression with true binary variables, the true binary operations (+,.) in unary operator, (NOT) parenthesis and = sign. For a given value of variables, the functions can be either 0 or 1. For e.g. F₁=x.y.z’ represents F₁=1 only if x=1,y=1 and z=0 otherwise F₁=0. A Boolean function may be

transformed from algebraic expression into a logic diagram compared of AND,OR and NOT gate. The implementation of two functions F₁ and F₂ can be done using following.

Logic Diagram

Digital Logic Gates

And Gate

OR Gate

                                        

NOT gate

NAND gate

NOR gate