Simplify the boolean expression ab+(ac)`+ab`c(ab+c)

A+A'C'

Explanation:

let F= AB+(AC)'+AB'C(AB+C)

       =AB +A'C'+AB'CAB+AB'CC

as we know that BB'=0 ( multiplicative inverse )

CC=C and AA=A

putting BB'=0 , CC=C and AA=A  in the expression of F we can find

F= AB +A'C'+0+AB'

F=AB+A'C'+AB'

F=AB+AB'+A'C'

taking A common

F=A(B+B')+A'C'

as B+B'=1 (additive inverse )

F=A+A'C'

   public static String ufnFullName(String Fname, String Lname){

       String FullName = Fname+" "+Lname;

       return  FullName;

   }

Explanation:

Using Java programming language, the function is created to accept two String parameters (Fname and Lname)

These are concatenated into a new String FullName and returned by the function

See below a complete code that prompts users to enter value for first and last names then calls this method to display the full name

import java.util.Scanner;

public class FullName {

   public static void main(String[] args) {

       System.out.println("Enter First Name");

       Scanner in = new Scanner(System.in);

       String Fname = in.next();

       System.out.println("Enter Last Name");

       String Lname = in.next();

       System.out.println("Your Full Name is "+ufnFullName(Fname,Lname));

   }

   public static String ufnFullName(String Fname, String Lname){

       String FullName = Fname+" "+Lname;

       return  FullName;

   }

}