1) Design a four-bit binary synchronous counter with D flip-flops.
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- F4 Using two flip-flops and basic gates, construct the circuit of the given state diagram below. Provide the following: State Table, Flip-flop equations, Circuit Diagram. Follow correct label names: Q0, Q1 – prev/present states D0, D1 – D-FF names X – input Y - outputDesign a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Draw the logic diagram for a single bit stagshows a BCD counter that produces a four-bit output representing the BCD code for the number of pulses that have been applied to the counter input. For example, after four pulses have occurred, the counter outputs are DCBA = 01002 = 410. The counter resets to 0000 on the tenth pulse and starts counting over again. In other words, the DCBA outputs will never represent a number greater than 10012 = 910.(a) Design the logic circuit that produces a HIGH output whenever the count is 2, 3, or 9. Use K mapping and take advantage of the don’t-care conditions.(b) Repeat for x = 1 when DCBA = 3, 4, 5, 8.
- logic gate circuit diagram and truth table for F=AC(B+D) +BD(A+C)Using T-type flipflops, design a counter by counting the binary sequence of 7, 5, 3, 1, 0, 2, and then back to 7 by creating Karnaugh diagrams, and draw the logic circuit. If there is a situation that prevents the counter from working properly in binary situations (such as the two states constantly looping over each other), what solution should be made to overcome this situation? If there is such a case, correct the counter design according to your suggestion and show the design that will enable it to count correctly by correcting the status table. If this is not the case, do not make any changes. NOTE: The state variables are A, B, and C. Flip flop inputs are TA, TB and TC. Q(t+1) =Qn+1= Qn ⨁ TTFull Screen Reader for a T-type FFdesign a 3-bit ring counter using D flip flops draw the logic diagram
- 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?Which of the following statements accurately represents the best method of logic circuit simplification? a. Actual circuit trial and error evaluation and waveform analysis b. Boolean algebra and actual circuit trial and error evaluation c. Karnaugh mapping and circuit waveform analysis d. Karnaugh mapping and Boolean algebra1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.
- Which of the following is an important feature of the sum-of-products form of expressions? • The delay times are greatly reduced over other forms. • The maximum number of gates that any signal must pass through is reduced by a factor of two. • No signal must pass through more than 2 gates (not including inverters). • All logic circuits are reduced to nothing more than simple AND and OR gates.A binary pulse counter can be constructed byinterconnecting T-type flip-flops in an appropriatemanner. Assume it is desired to construct a counterwhich can count up to 10010. a. How many flip-flops would be required?b. Sketch the circuit needed to implement this counter.Design an Implementation of 8-bit Floating Light Digital Circuit Implementation Using D Flip-Flop. Interpret the results. (Hint: Using Shift Register)