PYQs Based test 20: Digital Electronics

The output expression for the Karnaugh map shown below is:

The Boolean expression AB + AC̅ + BC simplifies to

A sequence detector is designed to detect precisely 3 digital inputs, with overlapping sequences detectable. For the sequence (1,0,1) and input data (1,1,0,1,0,0,1,1,0,1,0,1,1,0), what is the output of this detector?

A cascade of three identical modulo-5 counters has an overall modulus of

In the logic circuit shown in the figure, Y is given by