4.3(BOOL LOGIC)

Question 1

AND symbols

Answer 1

A ∧ B

A . B

Question 2

AND circuit diagram

Answer 2

D (2 inputs 1 output)

Question 3

OR symbols

Answer 3

A∨B

A+B

Question 4

OR Circuit diagram

Answer 4

Star trek syymbol
2 inputs 1 output

Question 5

Not symbols

Answer 5

¬A
_
A (bar A)

Question 6

Not circuit diagram

Answer 6

Triangle followed by small circle
(no line in between)

Question 7

XOR symbols

Answer 7

A(circled plus)B

A ∨ B

Question 8

XOR rules (when does it output true and false)

Answer 8

Outputs TRUE if the inputs are different

Outputs FALSE if they are the same

Question 9

XOR circuit

Answer 9

Curved line followed by star trek symbol
input lines go through the not line:
:):D-

Question 10

A AND 0 =?

Answer 10

0

Question 11

A AND 1=?

Answer 11

A

Question 12

NOT A AND A= ?

Answer 12

0

Question 13

A OR 0 = ?

Answer 13

A

Question 14

A OR 1 = ?

Answer 14

1

Question 15

NOT A OR A = ?

Answer 15

1

Question 16

What is DeMorgans Law?

Answer 16

This provides a strategy for simplifying expressions that include a negation of a conjunction or disjunction (simplifying by inverting all variable)
(break the bar: change the sign)
NOT(A AND B) is the same as (NOT A) OR (NOT B)

Question 17

Steps to DeMorgans Law?

Answer 17

Step 1

Change AND to OR (or vice versa) - ¬(A V B)

Step 2

NOT the terms either side of the operator - ¬(¬A V ¬B)

Step 3

NOT everything that has changed - ¬¬(¬A V ¬B)

Step 4

Get rid of any double negation - (¬A V ¬B)

Step 5

Remove any unnecessary brackets - ¬A V ¬B

Question 18

Distributive law:
A.(B+C)=?
A+(B.C)=?

Answer 18

(A.B) + (A.C)
(A+B) . (A+C)

Question 19

Negation law: ¬¬A=?

Answer 19

A

Question 20

Q = ¬(A XOR B )=?

Answer 20

¬A . ¬B + A.B

Question 21

A . ( (¬A . B) + (B . C ) )=?

Answer 21

(A . ¬A . B) + (A . B . C)
(0 . B) + (A . B . C)
0 + (A . B . C)
A . B . C

Question 22

A + ( ¬A .B)=?

Answer 22

A + B

Question 23

A . (¬A + B) = ?

Answer 23

A . B

Question 24

Should you mix different expressions for Bool Logic?

Answer 24

NO
set 1:
A ^ B and
A V B or
¬A not

set 2:
A.B and
A+B or
_
A not