You 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).
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You 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).
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- 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?Problem Statement: You design a circuit of a decade counter that will count from 0-9 only. You will only be using the following: (a) Button – only 1 button will be used to trigger the counting. (b) Flip flop IC to used as counting circuit with 4 - BITS binary OUTPUT. (c) IC's for Decoding the Binary OUTPUT of Flip-flops to Decimal Output (d) 7- Segment Display to display the OUTPUT from 0-9. Block Diagram: 4 Bit Binary Flip-Flop 7-Segment Display Button Decoder Circuits Circuits1.) A storage register made up of six D flip-flops is storing a binary word. The flip-flop status are: A = set, B = set, C = reset, D = set, E = reset, and F = set. The A flip-flop is the LSB. The decimal equivalent of the register content is 2.) D flip-flops are most frequently used in
- Task 1: Custom Sequence Counter Using JK Flip Flop, Design a counter circuit that cycles through the sequence: 0, 5, 4, 6, 1, 7, and repeats. Follow these steps: a) State Diagram: Draw a state diagram representing the sequence. Each state should be expressed as a binary number. b) State Table: Create a state table for the counter, detailing current states, next states, and outputs. c) Flip-Flop Input Equations: From the state table, derive the input equations for the flip- flops. Treat any unused states as don't-care conditions. d) Simplification using K-maps: Use Karnaugh maps to simplify the flip-flop input equations. Optionally, verify your simplifications using Multisim. e) Circuit Diagram: Draw the circuit diagram. Task 2: 3-bit Up/Down Counter Using Flip Flop of your choice, design a 3-bit counter that counts up or down based on an input signal X. The counter should behave as follows: Initial State: On powerup, the counter starts at 0. Count Up (X=1): Sequence progresses through…1)Design a 3-bit binary gray code up/down counter using J-K Flip Flops. Draw the state table, state diagram and draw the logic circuit.5) below is the accuracy table showing the output values for two separate binary number entries (W and Y) with a length of two bits. Get the simplest form of output functions with the Karnaugh diagram. Draw a logic diagram of the circuit that performs the function of these functions.Describe in detail which functions a, b and C perform for 2-bit binary numbers in the input.
- A d. B Figure 1 3. Referring to the logic circuit in Figure 1, determine: a. The simplified Boolean expression. b. The output waveform. C H c. Due to fabrication errors, lines d and f were shorted to the supply voltage. What happens to the output of the circuit? d. Your hardware resources are limited to 2-input NOR gate only. Draw the gate schematic of the simplified Boolean expression in 3(a).Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and thDesign a synchronous counter with the irregular binary count sequence shown in the state diagram in the nearby figure. Use (a) D flip-flops, and (b) J-K flip-flops. 6 4 2
- 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 diagram3.) The design size of the synchronous counter sequential (sequential) logic circuit. It will count from 0 to 9 and the son of your student number will not count decimals in two digits. A. List the process steps that you will apply in the design approach. Create the State Chart and State Chart. B. Design the sequential circuit using JK Flip-Flop. Explain each step. Show that it has performed the desired action. last digit student num: 0 4 " Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, I want the solution on paper if possible.a) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.