Sequential Circuits · Digital Logic · GATE CSE

The output of a 2-input multiplexer is connected back to one of its inputs as shown in the figure. Match the functional equivalence of this circuit t...

Consider the sequential circuit shown in the figure, where both flip-flops used are positive edge-triggered $$D$$ flip-flops. The number of states i...

We want to design a synchronous counter that counts the sequence $$0-1-0-2-0-3$$ and then repeats. The minimum number of $$J-K$$ flip-flops required t...

Consider a 4-bit Johnson counter with an initial value of 0000. The counting sequence of this counter is

The minimum number of $$JK$$ flip-flops required to construct a synchronous counter with the count sequence $$\left( {0,0,1,1,2,2,3,3,0,0,...} \right)...

Let $$k = {2^n}.$$ A circuit is built by giving the output of an ݊$$n$$-bit binary counter as input to an $$n$$-to-$${2^n}$$ bit decoder. This circui...

You are given a free running clock with a duty cycle of $$50$$% and a digital waveform $$f$$ which changes only at the negative edge of the clock. Whi...

$$SR.$$ latch made by cross coupling two $$NAND$$ gates if $$S=R=0,$$ Then it will result in

Consider a sequential digital circuit consisting of T flip-flops and D flip-flops as shown in the figure. CLKIN is the clock input to the circuit. At ...

Consider a digital display system (DDS) shown in the figure that displays the contents of register X. A 16-bit code word is used to load a word in X, ...

Suppose we want to design a synchronous circuit that processes a string of 0’s and 1’s. Given a string, it produces another string by replacing the fi...

Consider a 3-bit counter, designed using T flip-flop, as shown below: Assuming the initial state of the counter given by PQR as 000, what are th...

A positive edge-triggered D flip-flop is connected to a positive edge-triggered JK flip-flop as follows. The Q output of the D flip-flop is connected ...

The above synchronous sequential circuit built using $$JK$$ flip-flops is initialized with $${Q_2}{Q_1}{Q_0} = 000.\,\,$$ The state sequence for this...

Consider the following circuit involving three Dtypes flip-flops used in a certain type of Counter configuration. If all the flip-flops were reset t...

Consider the following circuit involving three Dtypes flip-flops used in a certain type of Counter configuration. If at some instance prior to the o...

Given the following state table of an $$FSM$$ with two states $$A$$ and $$B,$$ one input and one output: If the initial state is $$A = 0, B=0.$$ What...

The control signal functions of a $$4$$-bit binary counter are given below $$($$where $$X$$ “don’t care”$$):$$ The counter is connected as follows: ...

Consider the circuit in the diagram. The $$ \oplus $$ operator represents $$EX$$-$$OR.$$ The $$D$$ flip-flops are initialized to zeros (cleared). T...

Consider the partial implementation of a $$2$$-bit counter using $$T$$ flip-flops following the sequence $$0$$-$$2$$-$$3$$-$$1$$-$$0,$$ as shown belo...

A 1- input, 2- output synchronous sequential circuit behaves as follows. Let $${z_k},\,{n_k}$$ denote the number of $$0’s$$ and $$1’s$$ respectively i...

Consider the circuit given below with initial state $${Q_0} = 1,\,\,{Q_1} = {Q_2} = 0.$$ The state of the circuit is given by the value of $$4{Q_2} + ...

Consider the following circuit with initial state $${Q_0} = {Q_1} = 0.$$ The $$D$$ Flip-Flops are positive edge triggered and have set up times $$20$$...

The following arrangement of master-slave flip-flop Has the initial state of $$P, Q$$ as $$0, 1$$ (respectively). After three clock cycles the output...

Find the maximum clock frequency at which the counter in Fig., can be operated. Assume that the propagation delay through each flip-flop and $$AND$$ g...

Consider the synchronous sequential circuit in fig. (a) Draw a state diagram which is implemented by the circuit. Use the following names for the st...

For the synchronous counter shown in fig. write the truth table of $${Q_0},\,\,{Q_1}$$ and $${Q_2}$$ after each pulse starting from $${Q_0} = {Q_1} = ...