Use D-type flip-flops and gates to design a counter with the following repeated binary sequence: 0, 2, 1,3, 4, 6, 5,7.
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- Draw a combinational logic circuit of a four input multiplexor where the inputs (X3;X2;X1;X0) are each one bit variables. Label the values of inputs and outputs of each gate of the circuit, assuming the four inputs have the values (X3;X2;X1;X0) = (1; 0; 0; 1) and assuming X1 is selected. [Do not draw the decoder circuit which is part of the multiplexer].We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?5- a- what are the application of Flip – Flop. b- What is the difference between the Flip – Flop circuit and the other combinational logic circuits?
- 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). Design a combinational circuit to convert a 4-bit binary number to gray code using(a) standard logic gates,(b) decoder,(c) 8-to-1 multiplexer,(d) 4-to-1 multiplexer.Design a serial adder using the following: Explain the operation briefly, list thestate table (must include present state, inputs, next state, output and flip-flopinputs) and draw the logic diagrama. Using D flip flop, shift registers and necessary logic gatesb. Using JK flip flop, shift registers and necessary logic gates
- 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). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???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.Realize the following function ; " on the image " using a(a) 4-to-1 multiplexer, and draw the logic diagram.(b) 8-to-1 multiplexer, and draw the logic diagram.You may use external gates if needed.
- 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 counteDescribe what a 16-to-1 one-bit multiplexer does. Write a Boolean expression that implements this multiplexer. Assuming that there is access to four-input AND gates, four-input OR gates, and one-input NOT gates, how many of each gate is required to implement this multiplexer?what a logic function corresponds to the following arrangement? a.L =(S1 OR S2) AND (S3 OR S4)