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, 2, 3, 4, 5, 6, 7, 0, and repeats. Count Down (X=0): Sequence reverses direction. For example, if the counter is at state 4 when X becomes 0, it counts down through 3, 2, 1, 0, 7, 6, 5, 4 etc. a) State Diagram: Draw a state diagram for both counting up and counting down. Each state should be expressed as a binary number. b) State Table: Generate a state table indicating current states, next states, and the input condition X. c) Flip-Flop Input Equations: Write down the input equations for the flip-flops from the Next State entries. d) Simplification using K-maps: Simplify the input equations using Karnaugh maps. Optionally, verify these using Multisim. e) Circuit Diagram: Draw the circuit diagram.

9. Analysis of Synchronous Counters, in the following figure, write the logic equation for each input of each flip-flop. Determine the next state for state 010,011,100,111 as Q2Q1Q0 sequence. FF0 FFI FF2 Ko K, K2 CLK

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?

3.) 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.