1.2 Logical Operations - Logical Operators

Question 1

What are the 4 operations in truth tables. Do you know their symbols?

Answer 1

AND - .
OR - +
NOT - Ā
XOR(Exclusively Or) - ⊕

Question 2

What rule does the Boolean And(.) have?

Answer 2

It can only be true if both of the values named are true.

A B A.B
1 1 1
0 1 0
1 0 0
0 0 0

Question 3

What rule does the Boolean OR(+) have?

Answer 3

The value is true if either one of the values or both of them are true.
A B A+B
1 1 1
0 1 1
1 0 1
0 0 0

Question 4

What rule does the Boolean NOT(Ā) have?

Answer 4

The value is true if the value stated is false. If the value stated is true then the end result is false.
A B Not A Not B
1 1 0 0
0 1 1 0
1 0 0 1
0 0 1 1

Question 5

What rule does the Boolean XOR(.) have?

Answer 5

The Value is True only if one of the values is True if both of them are true then the end result if false.
A B A⊕B
1 1 0
0 1 1
1 0 1
0 0 0