1.2) Logical Operations

Question 1

What does the NOT logical operator have?

Answer 1

Only 1 input + 1 output.

Question 2

How many inputs does the AND logical operator have?

Answer 2

2.

Question 3

How many outputs does the AND logical operator have?

Answer 3

1.

Question 4

How many inputs does the OR logical operator have?

Answer 4

2.

Question 5

How many outputs does the OR logical operator have?

Answer 5

1.

Question 6

How many inputs does the XOR logical operator have?

Answer 6

2.

Question 7

How many outputs does the XOR logical operator have?

Answer 7

1.

Question 8

What is the condition for the XOR logical operator to have the output 1?

Answer 8

A + B have to be different.

Question 9

What is the condition for the OR logical operator to give an output of 1?

Answer 9

If either A or B is 1.

Question 10

What is the condition for the AND logical operator to give an output of 1?

Answer 10

If A + B are both 1.

Question 11

What is the condition necessary for the NOT logical operator to have an output of 1?

Answer 11

Output is opposite of input.

Question 12

Can Boolean algebra be used to describe logical operations?

Answer 12

Yes.

Question 13

What is the annulment law of Boolean Algebra?

Answer 13

Variable AND 0 always = to 0.

A variable or 1 is always = to 1.

Question 14

What is the Identity law of Boolean Algebra?

Answer 14

Variable OR 0 always = to variable.

A variable OR 1 always = to 1.

Question 15

What is the Idempotent law of Boolean Algebra?

Answer 15

A variable and its complement always = to 0.

A variable AND itself always = to variable.

Question 16

What is the Complement law of Boolean Algebra?

Answer 16

A variable AND its complement always = to 0.

A variable OR its complement always = to 1.

Question 17

What is the Commutative law of Boolean Algebra?

Answer 17

Order of 2 variables with AND no difference.

Order of 2 variables with OR no difference.

Question 18

What is the Double Complement law of Boolean Algebra?

Answer 18

A double complement of variable always = to variable.

Question 19

What is the Distributive law of Boolean Algebra?

Answer 19

OR associative law: A + (B+C) = (A+B) +C= A+B+C.

AND associative law: A(B.C) = (A.B)C = A.B.C.

Question 20

What does the notation of a bar on top of and input variable represent?

Answer 20

The NOT function.

Question 21

What does the notation of a dot ‘.’ Represent?

Answer 21

The AND function.

Question 22

What does the notation of a plus sign ‘+’ represent?

Answer 22

The OR function.

Question 23

What does the notation of a plus sign with a circle represent?

Answer 23

The XOR function.