Component l.2 - Logical operators (Finished)

Question 1

What is the NOT logical operator like?

Answer 1

It has one input and one output, the output is opposite the input

Question 2

What is the AND logical operator like?

Answer 2

Two inputs, one output. If both inputs are on then output is on otherwise no

Question 3

What is the OR logical operator like?

Answer 3

It has two inputs and one output. Output is 1 if either A or B is 1

Question 4

What is the XOR logical operator like?

Answer 4

It has two inputs and one output. The output is 1 if A or B are on but not both or none

Question 5

What are truth tables?

Answer 5

Tables that lost all possible outcomes of logical expressions

Question 6

What is boolean algebra?

Answer 6

a system of mathematics based on logic that has its own set of rules or
laws that can be used to simplify Boolean expressions

Question 7

How are NOT, AND, OR, XOR gates represented in boolean algebra?

Answer 7

NOT: Ā(NOT A is Ā)
AND: . (A AND B A.B)
OR: + (A OR B A + B)
XOR: ⊕ (A XOR B A⊕B)

Question 8

What does annulment law state?

Answer 8

Annulment Law
A.0 = 0 A variable AND 0 is always equal to 0
A + 1 = 1 A variable OR 1 is always equal to 1

Question 9

What does identity law state?

Answer 9

Identity Law
A + 0 = A A variable OR 0 is always equal to the variable
A.1 = A A variable AND 1 is always equal to the variable

Question 10

What does Idempotent law state?

Answer 10

Idempotent Law
A + A = A A variable OR itself is always equal to the variable
A.A = A A variable AND itself is always equal to the variable

Question 11

What does complement law state?

Answer 11

Complement Law
A.Ā = 0 A variable AND its complement is always equal to 0
A + Ā = 1 A variable OR its complement is always equal to 1

Question 12

What does commutative law state?

Answer 12

Commutative Law
A.B = B.A The order of two variables with AND makes no difference
A + B = B + A The order of two variables with OR makes no difference

Question 13

What does double complement law state?

Answer 13

Double Complement Law

NOT NOT A = A A double complement of a variable is always equal to the variable

Question 14

What does distributive law state?

Answer 14

Distributive Law
A(B + C) = A.B + A.C (OR Distributive law)
A + (B.C) = (A + B).(A + C) (AND Distributive law)

Question 15

What does absorptive law state?

Answer 15

Absorptive law
A + (A.B) = A (OR Absorption law)
A(A + B) = A (AND Absorption law)

Question 16

What does associative law state?

Answer 16

Associative Law
A + (B + C) = (A + B) + C = A + B + C (OR Associative law)
A(B.C) = (A.B)C = A.B.C (AND Associative law)