(De Morgan’s Laws) In this chapter, we 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 laws to write equivalent expressions for each of the following, then write a program to show that 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 ) )
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