GATE Overflow | Digital Logic | Test 1 | Question: 14

Question

Find the complement of this expression

$$(A+\bar B+C) (\bar A\bar B + C) (A +\bar B\bar C )$$

• A. $\bar AB\bar C + (A+B)\bar C + \bar A(B+C)$
• B. $A\bar B( C+B) + \bar AB + \bar CB(A+\bar B)$
• C. $A\bar B( C+B) + \bar AC + \bar CA(C+\bar B)$
• D. $AC\bar B + \bar AB + \bar C(A+\bar B)$

Answer 1

" complement of an expression is the negation of the variables  with the changing ANDs with ORs and vice versa. "

   so option 1 is correct.