Q1. a) Given the State Diagram of Figure 1, draw and complete the state, transition, and output tables, assuming an implementation with JK Flip- Flops.
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- (c) Figure Q3(c)(i) shows a register and Figure Q3(c)(ii) shows the input waveforms (CLOCK and Data in) to the circuit. A1 A9 A10 A2 Function generator A3 A11 A12 AS A13 A6 A14 A7 A15 Data in Bop.7) ip.r 82p.7) Logic analyser U1 U2 U3 U4 UO 6. 1. 6 1 6 INVERTER 3 CLK 3 CLK oCLK CLK 5 K K 5 K K 4027 Clock Function generator Figure Q3(c)(i) (i) Determine the type of register as shown in Figure Q3(c)(i).Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).Analyze the state machine in the figure below. Write i) Flip-flop input and output equations; ii) transition/output table; iii) state/output table (use state names SO, S1, S2, S3 for Q1Q0=00, 01, 10, 11); and iv) draw the corresponding state diagram. CLK- DO QO 0 CLK D1 Q1 1 CLK Z
- 5. JK flip-flops are often used to build counters. The JK flip-flop will toggle the original output value when triggered by the clock signal if both the J,K inputs are connected with a constant "high"(logic 1). All the JK flip-flops in Figure 2 are negative edge triggered. All the initial values of Q2Q1Q0 are 0. Qo (LSB) (MSB) Input K K Logic 1 Input Q2 000 Figure 2. Counter (a) Sketch the output waveforms forQ2 Q1 Q0. Write down the output binary value (Q2Q1Q0: such as "000", "001") for each clock period on the figure. (b) Describe the function of the counter (e.g. binary down counter counting from 7 to 0).Write the next-state equations for the flip-flops and the output equation. (b) Construct the transition and output tables. (c) Construct the transition graph. (d) Give a one-sentence description of when the circuit produces an output of 1. Q2 D2 Q1 T1 CLK Figure 4Design a Up Down Counter by using JK flip flop and verify the output of your designed circuit onany random input. Provide the following information as well:1. State table2. State diagram3. State equations4. Complete circuit diagram
- show the waveforms for each flip-flop output with respect For the ring counter in Figure to the clock. Assume that FF0 is initially SET and that the rest are RESET. Show at least ten clock pulses. D D. FFO FF1 FF2 FF3 FF4 FF5 FF6 FF7 FF8 FP9 CLKThe figure below shows a four-bit binary ripple counter that is initially in the 0000 state beforethe clock input is applied to the counter. Clock pulses are applied to the counter starting at sometime t1 and then removed some time later at another time t2. The counter is observed to read 0011.How many negative-going clock transitions have occurred during the time the clock was active atthe counter input? Give the three lowest possible answers. Please show your process.In a 4-bit ripple up-counter how many clock pulses will you apply, starting from state 0 0 0 0, so that the counter outputs are as follows? (a) 0010 (b) 0111 (c) 1001 (d) 1110
- Consider the following circuit with 2 inputs (X and Y) and 2 J-K flip flops.· When X=0, the output (Q1Q0) preserves its value regardless of the value of Y.· When X=1 and Y=1, the output (Q1Q0) counts up by one (00-01-10-11-00 …).· When X=1 and Y=0, the output (Q1Q0) counts down by one (00-11-10-01-00 …). a) Derive the state transition, output table.b) Derive flip-flop excitations (logic expressions).c) Draw the circuit implementation using only 2-input NAND gates to drive the inputs J0and K0, and only multiplexers (MUX) to drive the inputs J1 and K1.A binary multiplier is given 10102 and 10112 as inputs. Calculate the binary output of the circuit. An octal multiplier is given 258 x 168 as inputs. Calculate the octal output of the circuit.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 Circuits