Questions and Answers of Digital Systems Design

Two flip-flops are connected as shown in the following diagram. The delay represents wiring delay between the two clock inputs, which results in clock skew. This can cause possible loss of
A Mealy sequential circuit is implemented using the circuit shown in Problem 1.26. Assume that if the input X changes, it changes at the same time as the falling edge of the clock.(a) Complete the
Reduce the following state table to a minimum number of states. Present State Next State Output X = 1 X = 0 X= 1 B A D н D G Н D
Derive the state transition table and D flip-flop input equations for a counter that counts from 1 to 6 (and back to 1 and continues).
Derive the state transition table and flip-flop input equations for a modulo-6 counter that counts 000 through 101 and then repeats. Use J-K flip-flops.
A Moore sequential circuit has one input and one output. The output goes to 1 when the input sequence 111 has occurred, and the output goes to 0 if the input sequence 000 occurs. At all other times,
A sequential circuit has one input (X) and two outputs (D and B). X represents a 4-bit binary number N, which is input least significant bit first. D represents a 4-bit binary number equal to N –
A sequential circuit has one input (X) and two outputs (S and V). X represents a 4-bit binary number N, which is input least significant bit first. S represents a 4-bit binary number equal to N + 2,
A sequential circuit has one input (X) and two outputs (Z1 and Z2). An output Z1 = 1 occurs every time the input sequence 010 is completed provided that the sequence100 has never occurred. An output
A synchronous sequential circuit has one input and one output. If the input sequence 0101 or 0110 occurs, an output of two successive 1s will occur. The first of these 1s should occur coincident with
Construct a clocked D flip-flop, triggered on the rising edge of CLK, using two transparent D latches and any necessary gates. Complete the following timing diagram, where Q1and Q2are latch outputs.
(a) Show how you can construct a T flip-flop using a J-K flip-flop.(b) Show how you can construct a J-K flip-flop using a D flip-flop and gates.
(a) Find all the static hazards in the following circuit. State the condition under which each hazard can occur.(b) Redesign the circuit so that it is free of static hazards. Use gates with at most
(a) Find all the static hazards in the following circuit. For each hazard, specify the values of the input variables and which variable is changing when the hazard occurs.For one of the hazards,
Find all of the 1-hazards in the given circuit. Indicate which changes are necessary to eliminate the hazards. c'
Identify the static 1-hazards in the following circuit. State the condition under which each hazard can occur. Draw a timing diagram (similar to Figure 1-10(b)) that shows the sequence of events when
For the following functions, find the minimum sum of products using 4-variable maps with map-entered variables. In (a) and (b), mi represents a minterm of variablesA, B, C, and D.(a) F(A, B, C, D, E)
Simplify Z using a 4-variable map with map-entered variables. ABCD represents the state of a control circuit. Assume that the circuit can never be in state 0100, 0001, or 1001. Z = BC'DE + ACDF'
A full subtracter computes the difference of three inputs X, Y, and Bin, where Diff = X - Y - Bin. When X < (Y + Bin), the borrow output Bout is set. Fill in the truth table for the subtracter and
Write out the truth table for the following equation:F = (A ⊕ B) ∙ + A' ∙ (B' ⊕ C)

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