De Morgan’s Laws. We have discussed the logical operators &&, ||, ^ and !. De Morgan’s Laws can sometimes make it more convenient for us to express a logical expression. These laws state that the expression !(condition1 && condition2) is logically equivalent to the expression (!condition1 || !condition2). Also, the expression !(condition1 || condition2) is logically equivalent to the expression (!condition1 && !condition2). Use De Morgan’s Law to write equivalent expressions for each of the following, and then write a program to show that both the original expression and the new expression in each case are equivalent:

a. !(x<5) && !(y>=7)

b. !(a==b) || !(g!=5)

c. !(x<=8) && (y>4)

d. !((i>4) || (j<=6))

Name your program as DeMorgansLaw.java

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