One Shot Marathon Series Test - Digital Electronics for ESE & GATE EC Exams

Question 1

If 2^y+1 + 2^y-1 = 640, then find y.

Question 2

Let X be the distinct integers possible to store in 8 bit register when storing of data is done using 1’s complement representation. Let Y be the largest possible magnitude which can be stored in the 8 bit register. The value of X-Y is____________.

Question 3

Consider the following Boolean expression represented in extended canonical form:

F (w, x, y, z) = ∑ (0, 2, 4, 5, 6, 13, 14, 15)

The number of prime implicands which are not essential prime implicands are_____________?

Question 4

Let the frequency of the clock signal applied to the flip-flop be 10 kHz. If the flip-flop is T- flip flop with a negative edge-triggered clock signal and T=1 and the previous state was made clear, the frequency of the output signal will be?

Question 5

Which of the following is incorrect?

Question 6

Consider the function F(x, y, z) = xy + x’z + yz. All the variables are available in complemented and non-complemented form. The minimum number of gates required to implement the above function is ________. (All gates are available only with 2-inputs)

Question 7

Given F(A, B, C, D) = Σm(0, 2, 3, 5, 7, 8, 10, 12, 13, 14, 15).

The number of prime implicants is ________.

Question 8

When (–89)₁₀ is represented in sign 2’s complement form, the sum of bits will be (Example: 11010000, here sum of the bits is 3) __________.

Question 9

A 6-bit right shift register is initialized to a value of Minimum number of clock pulses needed to produce 101101 from the given initial value is _______.

Question 10Multiple Correct Options

A Johnson ring counter consisting of four flip flops will have

Question 11

Consider the below given sequential circuit:

The number of literals in the minimal expression of the given sequential circuit are ______

Question 12

An engine has 4 fail-safe sensors. The engine should keep running unless any of the following conditions arise:

I. If sensor 2 is activated.

II. If sensor 1 and sensor 3 are activated at the same time.

III. If sensor 2 and sensor 3 are activated at the same time.

IV. If sensors 1,3,4 are activated at the same time.

Given that the sensor is activated if it is set to 1 , and the engine is shut down if it is set to 1. Which of the following is the correct resulting expression for the given system? The notations are given as:

A = Sensor 1

B = Sensor 2

C = Sensor 3

D = Sensor 4

Question 13

For the below given Boolean expression F:

F = B + CD + AC

Consider the NAND-NAND and NOR-NOR representation for the above given expression. If the time delay experienced by a NAND gate is 8ns and the time delay experienced in a NOR gate is 12ns (The variables are available in both complemented and uncomplemented form). Which of the following is the fastest implementation and by how long?

Note: The correct answer is 8ns and it is not mentioned in any of the options.

Question 14

Consider the following sequential circuit consisting of 2 J-K flip flops and D flip flop :

The Mod value for this counter is_____________.

Question 15

Consider the combinational circuit below:

The output of the combinational circuit is ________.

Question 16

The maximum number of Boolean expressions that can be formed for the function f(x, y, z) satisfying the relation

is _________.

Question 17

The maximum number of bit ripple counter that can be designed for a clock period

with each flip flop delay is

and the strobe time is

is?

Question 18

For the ring counter shown in below, find the steady state sequence if the initial state of the counters is 1110 (i.e., Q₃, Q₂, Q₁, Q₀ =1110). Determine the MOD number of the counter.