Question

How does logical operator work- explain the differences between A AND B and A OR B? (6 pts)

Answer 1

Answer with Step-by-step explanation:

We are given two input A and B

A AND B=
`A\cdot B`

If A=0 and B=0 then
`A\cdot B=0`

If A=0 and B=1 then
`A\cdot B=0`

If A =1 and B=0 then
`A\cdot B=0`

If A=1 and B=1 then
`A\cdot B=1`

A OR B=A+B

If A=0 and B=0 then A+B=0+0=0

If A=0 and B=1 then A+B=0+1=1

If A =1 and B=0 then A+B=1+0=1

If A=1 and B=1 then A+B=1+1=1

If A=0 and B=1 or A=1 and B=0 then A AND B=0 but A OR B=1

This is the main difference A AND B and A OR B.