MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

DIGITAL LOGIC

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
(C AND D) OR (NOT(A OR B)) = Q, If A=1, B=1, C=0 and D=1, what does Q equal?
A
0
B
1
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -According to boolean law: A + 1 = ? Explanation: A + 1 = 1, as per 1’s Property.

Detailed explanation-2: -De Morgan’s Theorem, T12, is a particularly powerful tool in digital design. The theorem explains that the complement of the product of all the terms is equal to the sum of the complement of each term. Likewise, the complement of the sum of all the terms is equal to the product of the complement of each term.

Detailed explanation-3: -1 + 1 = 1 (since “true OR true” is true). 1 x 1 = 1 (since “true AND true” is true). A x NOT A = 0 (since “true AND false” is false).

Detailed explanation-4: -’0’ represents FALSE and ‘1’ represents TRUE. If we do logical AND operation of any value with ‘0’, The output will be ‘0’. Again if we do logical OR operation of any value with ‘0’, the output will be equal to that particular value.

There is 1 question to complete.