2. An asynchronous down counter was build from four JK flip flop with clock of first flip flop is 1MHZ. i. Calculate MOD of this counter ii. Calculate frequency at output of third flip-flop. ili. Draw this counter circuit
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- 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…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 CLK6) For IC 7493, answer the following questions: a) What is the maximum count length of this counter? b) This is a (ripple, synchronous) counter. c) What must be the conditions of the reset inputs for the 7493 to count? d) This is a(an) (down, up) counter. e) The IC 7493 contains (number) flip-flops. f) What is the purpose of the NAND gate in the 7493 counter?
- Design Master-Slave Flip Flop circuit diagram and write a short description.The logic diagram of JK flip-flop is given in Figure 3.a) Write the output Boolean functions for the outputs.b) Draw the timing diagram of the circuit on Figure 4. Assume that the delay between JK inputsand QQ outputs is 1 unit. Each column in Figure 4 represents 1 unit.(c) For each of the following parts, fill in the respective row of the timing diagram shown in Figure 5. (i) Find the input for a rising-edge-triggered D flip-flop that would produce the output Q as shown in Figure 5. (ii) Find the input for a rising-edge-triggered T flip-flop that would produce the output Q as shown in Figure 5. Clock D Figure 5
- Question 4 a) Assume that Q = 0 initially. CLK K. Mode Figure 3 b) Identify what type of JK flip flop above represent? Why? c) Determine the mode and Q waveform for the JK flip-flop in Figure 3(d) Figure 6 shows the diagram of a 3-bit ripple counter. Assume Qo = Q1 = Q2 = 0 at t = 0, and assume each flip-flop has a delay of 1 ns from the clock input to the Q output. Fill in Qo, Q1, and Q2 of the timing diagram (shown in Figure 7). Flip-flop Q1 will be triggered when Qo changes from 0 to 1. %3D 3 Qo Q2 T T Clock- Figure 6 Clock 10 15 20 25 30 35 40 45 50 Figure 79 Using D flip-flops, (a) Design a counter with the following repeated binary sequence: 0, 1, 2, 4, 6. (b) Draw the logic diagram of the counter. (c) Design a counter with the following repeated binary sequence: 0, 2, 4, 6, 8. (d) Draw the logic diagram of the counter.
- Q: Consider the trailing edge triggered flip-flops shown: a. b. C. PRE D Clock Clock Clock K q' CLR CLR a) Show the timing diagram for Q Clock b) Show a timing diagram for Q if there is no CLR input. i. ii. ii, the CLR input is as shown. Clock R CLR c) Show a timing diagram for Q if i. there is no PRE input. ii. ii. the PRE input is as shown (in addition to the CLR input) Clock CLR PREDesign 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 2By using JK flip flops., design a synchronous counter that count as follows: 7,4,6,2,1,3.The unused states are self-correcting.