GATE 2024 Digital Electronics Foundation Quiz 81

and d = wyz. The minimum no of NAND and NOR gates required to implement the above function ‘F’ respectively are _______ and ________.

Consider a function ‘f’ defined as

Then for the function

A car alarm system is to be designed considering 4 inputs for closed door (D), key in (K), seat pressure (S) and seat belt closed (B).

The alarm (A) should sound if

1. The key is in, and door is not closed or

2. The key is in, driver in the seat and seat belt not closed.

The system is to be designed with 2 input basic gates and inputs are available in basic form only. Find the number of gates required.

The following Boolean expression xyz + yz + xz can be reduced to

 the variable A is appearing in the equations n times, then the value of Y is