2) Given the following excitation and output equations, write the state transition and output tables. X is the input, Z is the output. Draw the sequential logic circuit. Please note that state memory is using positive-edge triggered D flip-flops. D1Q1'+ Q1 Q2 D2 = Q2'-X' Z = Q1' + Q2
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- Implement a 4-bit synchronous up counter with positive edge triggered D flip flops by doing thefollowing. Up counter means counting from 0000, 0001, 0010, ... to 1111, then 0000, 0001, ....1) Derive a state table for this counter with D flip flop.2) Develop state input equations.3) Sketch a logic diagram for this counteYou are asked to design a synchronous counter that will count the sequence 1 > 2>3>1. (a) Represent these decimal numbers in 2 bits binary numbers. (b) Write down the state table. (c) Find the functions for the next state of the state table using K-map. (d) Draw the circuit (You need to consider D flip-flops as memory unit).Design 2 bits counter that count down by using T flip flop when input x =1 and counts upwhen x=0. Find the following1. Derive the state table2. Derive the K‐map simplifications.3. Draw the logic diagram
- Draw a logic diagram of a 4-bit shift register, using D flip-flops, with mode selection inputsS1, S2 to operate according to the following function table: (Please provide actual diagram of the flip-flop circuit)Q5 A Moore machine is to detect three or more consecutive zeros on an input bitstream using D flip flops. (a) Present the truth table and state diagram. (b) Interpret the simplified logic expression using K-Map. (c) Sketch the circuit with appropriate labeling.2- Using JK Flip flops, a 2-bit counter will be designed that will count down ((11-10-01-00) when the input is "0") and the random sequence given when the input is "1" (00-01-11-10). a) Construct the state table for the sequential circuit. b) Obtain the simplified input equations for flip-flops. c) Draw the logic circuit for the 2-bit counter.
- 1. Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer. 2. Using K- Map, simplify the following Boolean expression : Y = Σ (1,3,5,7,9,10,11,13,14,) 3. Build the logic circuit for the following function using Programmable Logic Array (PLA). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???Using D- Flip flops when input is “0” downwards ((11-10-01-00)) when input is “1”A 2-bit counter will be designed to count the given random sequence (00-01-11-10).a) Construct the state table for the sequential circuit.b) Obtain the simplified input equations for flip-flops.c) Draw the logic circuit for the 2-bit counter.B) A coin-operated cold drink dispenser will provide cold drink (D) under the following conditions: The correct coin (C) is inserted AND A paper cup is in position (P) AND The selector is set t Orange (O) OR Sprite (S) OR Lemonade (L) Write the Boolean expression for the output of the dispenser. Represent the operation of the dispenser in logic circuit 4 get a logic circuit to mimic aorporate checquing system for operatore of a compnny
- Design a three bit synchronous binary counter that counts two by two with T-flipflops,continously. Output should be one when the counter equals maximum number.a. Draw the exitation table b. Draw the corresponding state diagram. c. Tabulate the state table for the sequential circuit. d. Draw the logic diagram of the circuit.a) Design a logic circuit with three inputs A, B, C and an output that goes LOW only when A is HIGH while B and C are different. Draw and upload the circuit if you can, or at least describe it in words. b) Which logic gates produce a 1 output in the disabled state? c) Which logic gates pass the inverse of the input signal when these gates are enabled? d) What is the normal resting state of the SET’ and RESET’ inputs of a latch circuit (the prime is same as bar)? What is the active state of each input? e) What is the normal resting state of the NOR latch inputs? What is the active state?Solve the following in Boolean Algebra: (BC'+A'D)(AB'+CD') A. Simplify the given function using Boolean simplification. B. Draw the logic diagram of the given equation. C. Draw the logic diagram of the simplified equation. D. Give the number of of logic gates used in the given design E. Give the number of logic gates used in the simplified design.