BARC 2020: Digital Logic Nuclear Quiz 2 (App update required to attempt this test)

If (30)_x in base x number system is equal to (17)_y in base y number system, the possible values of x and y are:

What is the maximum value till which a 5 stage ripple counter can count?

The minimal expression of F(w,x,y,z) = ∑(0,4,6,7,8,9,15) is

Count the number of literals in the following expression after minimization :

F = AB' + BC' + CD' + DE'

In 16-bit 2’s complement representation, the decimal number −28 is:

Given a sequential circuit:

If initial state Q1 Q2 Q3 = 1 0 1 after how many cycles does it get to the same value?

Consider the given function F(A,B,C,D) = Σm(2,3,5,6,8,9,11,14) then what is the value connected at input I1 in the figure shown below if the select lines are connected to B & D respectively?

By adding  (36)₇ , (67)₈ , (98)₁₀ and (34)₅ these four numbers with different bases, what will be the result in Base 9?