Boolean Algebra

Question 1

What is the order of preference

Answer 1

Brackets
Not
Xor
And
Or

Question 2

Ben Needs Xrays And Operations (BNXAO)

Answer 2

Brackets
Not
Xor
And
Or

Question 3

Double negation

Answer 3

If you reserve something twice you end up with where you started
NOT(NOT A) = A

Question 4

Commutation law

Answer 4

The order of two separate terms is not important
A+B = B+A
A.B = B.A

Question 5

Association law

Answer 5

Allows for the removal of brackets from an expression and the regrouping of variables
A+(B+C) = A+B+C
A.(B.C) = A.B.C

Question 6

Absorption law

Answer 6

The second term inside the bracket can always be eliminated and absorbed by the term outside the bracket if the rules are met
A+(A.B) = A
A.(B+A) = A

Question 7

What requirements need to be met to apply absorption law

Answer 7

The operators inside and outside the brackets must be different
The term outside the brackets must also be inside the brackets

Question 8

Distribution law

Answer 8

Allows for the multiplying or factoring out of an expression
A.(B+C) = (A.B) + (A.C)

Question 9

De Morgan’s law

Answer 9

Split the line flip the sign
NOT(NOT A.NOT B) = A + B