All Exams Test series for 1 year @ ₹349 only
Question

For the circuit shown below consider the two statements :

Assertion (A) : The circuit is sequential.

Reason (R) : There is a loop in circuit.

Select your answer using the codes given below.

This question was previously asked in
UGC NET 2015 Paper 3 History Question Paper (28-Jun-2015)
The correct answer is

Both (A) and (R) are true and (R) is the correct explanation of (A)

Examine the reason first, since it is a matter of reading the diagram — true. The output of the right-hand OR gate is carried back along the bottom of the figure and re-enters the left-hand OR gate as one of its inputs. That is a genuine closed path: a signal can travel forward through the network and return to its own starting point.

Examine the assertion — true, and it follows from the loop. The two classes of logic circuit are distinguished by exactly this feature:

 CombinationalSequential
StructureNo feedback pathAt least one feedback path
Output depends onPresent inputs onlyPresent inputs and past history
MemoryNonePresent
Described byA truth tableA state table or state diagram

Because the fed-back signal re-enters the network, the present output helps determine the next output. The circuit therefore remembers, and a circuit with memory is sequential by definition.

Does the reason explain the assertion? Yes, completely. The loop is not merely present alongside the sequential behaviour — it is the cause of it. Break the feedback wire and the same gates become a purely combinational network whose outputs are a fixed function of a, b, c, d and e. So the code is 1.

Why feedback creates memory. Consider the simplest case, two cross-coupled NOR gates. Each output feeds the other's input, and the pair settles into one of two stable states and holds it after the inputs are removed — the SR latch, the basic memory cell from which all flip-flops are built. The same principle operates here.

What kind of sequential circuit this is. There is no clock input anywhere in the figure, so state changes happen as soon as an input changes and propagate at gate speed. That makes it an asynchronous (event-driven) sequential circuit rather than a clocked one — faster, but vulnerable to races and hazards if two inputs change together, which is why such designs require fundamental-mode operation and careful state assignment.

The rule to carry away. When asked to classify a logic diagram, trace every output backwards. If any path returns to a gate it has already passed through, the circuit is sequential; if every signal flows strictly left to right, it is combinational.

Hence, both statements are true and (R) is the correct explanation of (A).

Was this answer helpful?

Similar Questions

  1. The truth table of D flip-flop is given below:

    C  DQn+1
    OXQn (Last State)
    $\uparrow$00
    $\uparrow$11

    Choose exact characteristic equation based on above Truth Table

  2. Assertion (A) : Delay flip flop is used to store a single bit either 0 or 1.

    Reason (R) : It has only one input, when clock is high and D input is also high, the output resets.

  3. Assertion (A) : Asynchronous sequential circuit is also called event driven circuit.

    Reason (R) : Event driven circuit does not have clock to trigger change of state. The states are changed by the change in input signal of the previous stage.

    Select your answer using the codes given below.

  4. Flip Flop can be used to make :

    (a) Latches  

     (b) Bounce-elimination switches   

    (c) ADDER   

    (d) Encoder

    Which of the statements given above are correct ?

  5. Under which input condition, the J-K Flip-Flop toggles ?

  6. Read the following statements :

    (a) In a J-K Flip Flop, if J = K, the resulting Flip Flop is referred to as a T-type Flip Flop
    (b) In a J-K Flip Flop, if J ≠ K, the resulting Flip Flop is referred to as a D-type Flip Flop
    (c) An S-R Flip Flop cannot be converted into a T-type Flip Flop since S = R = 1 is not allowed.

    Which is correct ?

  7. Which of the following statements are true regarding the operation of JK flip-flop ?

    1. When K input is low and J input is high, the Q output of the flip flop is reset.
    2. When K input is high and J input is low, the output Q of the flip flop is set.
    3. When both the inputs K and J are low, the output Q does not change.
    4. When both the inputs K and J are high it is possible to set or reset the flip-flop (ie) the output toggle on next positive clock edge.

    Which one of the following is true ?

  8. Assertion (A) : D-flip-flops are used as buffer register.

    Reason (R) : Flip-flops are free from "race-around" condition.

    Select your answer using the codes given below :

  9. In the circuit shown below, the output Y1 and Y2 for the given initial condition Y1 = Y2 = 1 and after four input pulses will be

  10. Read the following statements :

    i. Gate is a combinational logic.
    ii. JK Flip-flop in toggle mode is not combinational logic.
    iii. MSJK FF suffers from race-around.
    iv. Counters are sequential circuits.

    Which is correct ?


Important Questions from Sequential Circuits

  1. A basic memory storage element in a digital system is:

  2. The basic sequential logic building block in which the output follows the data input as long as the ENABLE input is active, is

  3. What can be the maximum clock frequency of a 10-bit ripple counter which will not cause a count to skip, considering 10 ns propagation delay for each of the edge-triggered flip flops?

  4. The output of a sequential circuit depends on

  5. The basic building block of a sequential logic circuit is

Need Expert Advice?
Test Series
UGC NET img
Teaching
UGC NET Library and Information Science 2024 - 2025 Mock Test Series
66 Tests 4 Tests Free
791 Attempts
4.4(17)
English, Hindi
More Questions from UGC NET

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App