The simplified SOP (Sum of Product) form of the Boolean expression

**A. **

**B. **

**C. **

**D. ** (PQ + R)

**Answer : ****Option B**

**Explaination / Solution: **

is

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A binary operation ⊕ on a set of integers is defined as x ⊕ y = x^{2} + y^{2}. Which one of the
following statements is TRUE about ⊕?

**A. ** Commutative but not associative

**B. ** Both commutative and associative

**C. ** Associative but not commutative

**D. ** Neither commutative nor associative

**Answer : ****Option A**

**Explaination / Solution: **

x ⊕ y = x2 + y2 = y2 + x2 = y ⊕ x

∴ commutative

Not associative, since, for example

(1 ⊕ 2) ⊕ 3 ≠ 1 ⊕ (2 ⊕ 3)

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In the sequential circuit shown below, if the initial value of the output Q_{1}Q_{0} is 00,
what are the next four values of Q_{1}Q_{0}?

**A. ** 11,10,01,00

**B. ** 10,11,01,00

**C. ** 10,00,01,11

**D. ** 11,10,00,01

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

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The clock frequency applied to the digital circuit shown in the figure below is 1kHz. If the initial state of the output of the flip-flop is 0, then the frequency of the output waveform Q in kHz is

No Explaination.

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The current state Q_{A}Q_{B} of a two JK flip-flop system is 00. Assume that the clock rise-time is much
smaller than the delay of the JK flip-flop. The next state of the system is

**A. ** 00

**B. ** 01

**C. ** 11

**D. ** 10

**Answer : ****Option C**

**Explaination / Solution: **

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The following Karnaugh map represent a function F.

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

A minimized form of the function F is

No Explaination.

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The following binary values were applied to the X and Y inputs of NAND latch
shown in the figure in the sequence indicated below :

**A. ** P = ,Q = P = ,Q = P = ,Q = or P = ,Q =

**B. ** P = ,Q = P = ,Q = or P = ,Q = P = ,Q =

**C. ** P = ,Q = P = ,Q = P = ,Q = or P = ,Q =

**D. ** P = ,Q = P = ,Q = P = ,Q =

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

X = ,Y = X = ,Y = X = Y =

The corresponding stable P Q, output will be

No Explaination.

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For each of the positive edge-triggered J - K flip flop used in the following figure, the propagation delay is Δt .

Which of the following wave forms correctly represents the output at Q_{1}?

Since the input to both JK flip-flop is 11, the output will change every time with clock pulse. The input to clock is

The output Q_{0} of first FF occurs after time ΔT and it is as shown below

The output Q1 of second FF occurs after time ΔT when it gets input (i.e. after ΔT from t1) and it is as shown below

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For the 8085 assembly language program given below, the content of the accumulator after the execution of the program is

By executing instruction one by one

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If X = 1 in logic equation Then

**A. ** Y=Z

**B. **

**C. ** Z=1

**D. ** Z=0

**Answer : ****Option D**

**Explaination / Solution: **

Substituting X = 1 and we get

1 + A = 1 and 0 + A = A

Substituting X = 1 and we get

1 + A = 1 and 0 + A = A

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