Question

Draw the truth table for expression
F(A, B) =AB'+A'B+A'B'​

Answer 1

Answer:

Given function AB' +A'B+A'B'

Truth Table is

A B A' B' A'B AB' A'B' A'B +AB'+A'B'

0 0 1 1 0 0 1 1

0 1 1 0 1 0 0 1

1 0 0 1 0 1 0 1

1 1 0 0 0 0 0 0

Explanation:

Tip(For Short-Cut method)

Reduce the Given expression by using boolean rules

i.e.F(A,B)

=AB' +A'B+A'B'

=AB'+A'B+A'B'+A'B'....(As A +(or) A = A)

=AB'+A'B'+A'B+A'B'

=B'(A+A') + A'(B+B')

=B' . 1 + A' . 1...(As A + (or) A' = 1)

=B'+A'

So alternatively,

(short-cut Method)

A B A' B' A'+B'

0 0 1 1 1

0 1 1 0 1

1 0 0 1 1

1 1 0 0 0

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