6.5 Boolean algebra

Question 1

Describe a NOT in boolean algebra

Answer 1

An overline represents the NOT operation being applied to what is below the line.

Question 2

Describe an AND in boolean algebra

Answer 2

A dot represents the AND. It is a multiplication operation.

Question 3

Describe an OR in boolean algebra

Answer 3

An addition symbol represents the OR operation.

Question 4

What is the order of precedence in boolean algebra (highest to lowest)?

Answer 4

Brackets, NOT, AND, OR

Question 5

Describe De Morgan’s laws

Answer 5

“Break the bar and change the sign” where the bar refers to an overline and the sign refers to changing between OR and AND.

Question 6

How does applying De Morgan’s law in reverse work?

Answer 6

It works by changing the sign and building the bar.

Question 7

How do Distributive rules work? What does A . ( B + C ) turn into?

Answer 7

Just like expanding the brackets. It equals A . B + A . C