Boolean Notation and Laws

Select all equivalent expressions

• Q is A or B

• Q = A + B

• Q is A and B

• Q = A·B

Select all equivalent expressions

• Q is A or B

• Q = A V B

• Q is A and B

• Q = A ^ B

Select all equivalent expressions

• Q = ¬A^¬B

• Q = ¬(A+B)

• Q = ¬(A.B)

• Q is not A or not B

• Q is not A and not B

Select all equivalent expressions

• Q = A V B

• Q = A ^ B

• Q is A or B

• Q is A and B

Select all equivalent expressions

• Q is neither A nor B

• Q is not A or B

• Q = ¬B + ¬A

• Q = ¬A.¬B

• Q = ¬(A+B)

Which law states that AND and OR can replace each other in the right circumstances?

• De Morgan's Law

• Associative Law

• Distributive Law

• Cole's Law

• Identity

Absorptive Law states that..

• Expressions can be simplified by removing like terms

• The order of variables in an operation does not matter

• Expressions can be factorised, or multiplied out

• A variable AND itself is the same as the variable.

Which law tells us that we can factorise or multiply out expressions?

• Associative law

• Distributive law

• De Morgan's law

• Commutative law

Commutative Law states that..

• Expressions can be simplified by removing like terms

• The order of variables in an operation does not matter

• Expressions can be factorised, or multiplied out

• A variable AND itself is the same as the variable.

Which of the following are correct expressions of De Morgan's Theorum?

• ¬A.¬B = ¬(A.B)

• ¬A.B = ¬B+A

• ¬(A.B) = ¬A+¬B

• A.B = ¬(¬A+¬B)

• A+B = ¬A.¬B