(6) Prove the following Boolean expression with the help of a truth ta

1.	(6) Prove the following Boolean expression with the help of a truth table:A addition sign in between a circle B =(A □ B)'
Answer» PROOF with the help of truth table: A ⊕ B = A'B + AB' So, (A ⊕ B)' = (A'B + AB')' = (A'B)' . (AB')' (by using DeMorgan's law) = (A''+B') . (A'+B'') = (A+B') . (A'+B) so, (A ⊕ B)' = (A+B') . (A'+B) this expression can be PROVED with the help of truth table. proof is ATTACHED here.

(6) Prove the following Boolean expression with the help of a truth table:A addition sign in between a circle B =(A □ B)'

Answer»

PROOF with the help of truth table:

A ⊕ B = A'B + AB'

So, (A ⊕ B)' = (A'B + AB')'

= (A'B)' . (AB')' (by using DeMorgan's law)

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

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

so, (A ⊕ B)' = (A+B') . (A'+B)

this expression can be PROVED with the help of truth table.

proof is ATTACHED here.