ELECTRICS WEEK 3-BOOLEAN

Question 1

What does the AND function mean in boolean?

Answer 1

Multiplication, represented by a .

Question 2

What does the OR gate function mean in boolean?

Answer 2

Addition, represented by a +

Question 3

What does the commutative law state?

Answer 3

The order of operands does not matter, e.g.
AA.BB=BB.AA

Question 4

What does 𝐴.𝐵̅ mean?

Answer 4

A and NOT B

Question 5

What does the Associative law state?

Answer 5

When all operands are the same the order theyre applied in doesnt matter, e.g.
AA.(BB.CC)=(AA.BB).CC
- This works in algebra such as: (35) 4 = 60 3(45)= 60, they both equal the same thing

Question 6

What does the distributive law state?

Answer 6

That the multiplication of 2 variables, and adding that result with a variable will result in the same value as multiplication of addition of the variable with individual variables, e.g.
A + (B.C)= (A+B).(A+C)

Question 7

What does DeMorgan’s law state?

Answer 7

Break the line change the sign, e.g
Line above AB= line above A + line above B
Line above A+B= line above A. line above B

Question 8

What is the advantage of universal logic?

Answer 8

Theyre cheaper
You can combine NAND and NOR functions into one function which saves space in a circuit