Question

What is complement of F(x,y,z)=x'yz'+x'y'z

Answer 1

Answer:

The complement will be f' = (x' + y)(x'*(y+z'))(y).

Explanation:

Boolean Algebra is the mathematical foundation of digital circuits. Boolean Algebra specifies the relationship between Boolean variables which is used to design combinational logic circuits using Logic Gates. The truth table shows a logic circuit's output response to all of the input combinations.

Answer 2

The complement of F(x,y,z)=x'yz'+x'y'z will be

F(x,y,z) = (x + y' + z).(x + y + z')

The rules for finding the complement of a Boolean function are as follows :

• By changing all the OR gates with AND gates or by changing the AND gates with OR gates.
• By changing each literal of the function with it’s complement.

These two laws were stated by De Morgan and therefore it is known as De Morgan ' s law.

#SPJ3