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Complete the following exercises: Assume b1 and b2 are declared Java boolean variables. Write a Java expression for each of the following Boolean statements: b1

Complete the following exercises:

Assume b1 and b2 are declared Java boolean variables. Write a Java expression for each of the following Boolean statements:

b1 and b2

either b1 or b2

b1 but not b2

not b1 but b2

either b1 or not b2

either not b1 or b2

neither b1 nor b2 (note this is not the same as 1f)

not b1 and not b2

either b1 or b2 but not both b1 and b2 (this is called exclusive-or)

Assume the boolean variables b1 from b2 from question 1 have been assigned values: b1 = true and b2 = false. What is the resulting (boolean) value of evaluating each of the expressions from question 1? Remember the order of operations of boolean operators: not is evaluated before and, which is evaluated before or.

In Boolean (Predicate) Logic, there are some additional operators that are often used:

The implication () operator is defined as:

A B A B
true true true
true false false
false true true
false false true

Implement the implication operator as a Java method

The equivalence () operator is defined as:

A B A B
true true true
true false false
false true false
false false true

Implement the equivalence operator as a Java method

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