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- A sequential circuit has one input X and four outputs Z₁ Z₂ Z3 Z4. Z1 Z2 Z3 Z4 represents the gray code encoded number equal to the number of pairs of adjacent 1's that have been received as inputs. Use the gray code that is on page 22 of the textbook. For example, if the circuit had received 7 pairs of 1's as inputs, Z₁ Z2 Z3 Z4 = 1011. In addition, the circuit resets when the circuit receives 5 pairs of 1's. Find a Moore state graph and table for the circuit. Examples Input sequence: Output sequences: X = 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 10 Z₁ = 0 0 0 0 0 0000000000100 Z₂ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 Z3 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 - Z4 = 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 X 11111111 Input sequence: Output sequences: Z₁ = 0 0 0 0 0 100 Z2 0 0 0 0 1 100 = Z3 = 0 0 1 1 1 1 0 0 Z4 0 1 1 0 0 0 0 1 =Read the informal definition of the finite state transducer given in Exercise 1.24. Give the state diagram of an FST with the following behavior. Its input and output alphabets are {0,1}. Its output string is identical to the input string on the even positions but inverted on the odd positions. For example, on input 0000111 it should output 1010010. Book sipserA2. Implement the circuit diagram of F = y'z + x'y'z + w'xy + wx'y and fill in the following truth table by setting the binary switches (w, x, y, and z) to each set of input values as in Table 6.1. Objective: To express Boolean function as sum of minterms. Device List: Table 6.1 Y F Binary switch Or 4 Binary Probe And 3 Nor 3 Not 1 1 1 1 A1. Draw the Boolean function F= xy'z +x'y'z +w'xy + wx'y with logic gates. 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A3. Represent the Boolean function F as sum of minterms. F=E A4. Construct the K-map to simplify F. \YZ 00 WX 01 11 10 00 01 11 10 A5. Write the simplified Boolean expression of F by using the K-map.
- In designing of a binary counter with states A (MSB) and B (LSB), the derived input equations are as follows TA = BOx and TB =1. Where x is input. When x = 0, the counter counts Oa. AB: none of these O b. AB: 11--> 01 -->10 --> 00 --> 11 O c. AB: 11-->10 --> 01 --> 00 -->11 O d. AB: 00 --> 01 --> 10 --> 11--> 00Write a Verilog code for any one of the combinational arithmetic Circuits, which are having minimum of three variables using any type of Modeling.Implement the following Boolean function F(A, B, C, D)= m(1,4, 6, 7, 8,9, 12, 13,15) with: An 8x1 MUX. Assume that the inputs A, B, and C are used for the select lines.
- The output of a combinational circuit which implements a majority function F(x,y,z) is equal to 1 if more input variables are equal to 1 rather than 0. The output is O otherwise, e.g. F(1,1,0)=1, F(0,0,1)=0. Which of the following expressions represent the simplified expression for function F? F = xy + xz + yz OF= xz + xy F = x + zy + z OF = x e y e zDesign a finite state machine based system that emulates the operation of a set of pedestrian crossing lights. There should be two sets of lights, one set for traffic and one set for pedestrians. The light for traffic should normally be green. When a pedestrian pushes the crossing button, the lights should change to allow them to cross the road. Pedestrians should not be able to permanently stop traffic by repeated pushing of the button (i.e. there should be a suitable delay somewhere in the system so that traffic has a chance to move even if there is a non-stop supply of pedestrians wishing to cross). The traffic lights for traffic should follow the standard UK sequence of green, amber, red, red/amber. The lights for pedestrians should only be red and green (i.e. ‘cross’ and ‘don’t cross’). Use the DE1 buttons, LEDs and seven segment displays in any appropriate way to demonstrate the system in operationIn designing of a binary counter with states A (MSB) and B (LSB), the derived input equations are as follows TA = BOx and TB =1. Where x is input. When x = 0, the counter counts O a. AB: 11 -->10 --> 01 --> 00 -->11 O b. AB: 11--> 01 -->10 --> 00 --> 11 6 O C. AB: 00 --> 01--> 10 --> 11 --> 00 O d. AB: none of these
- QUESTION 8 Implement the following truth table directly (without any minimization) using a PLA. Properly label the inputs and outputs. Inputs W X Outputs Y 0 0 1 1 0 1 0 1 1 1 1 0 1 10 1 1 0 0 1 1 1 10 0 0 0. 1 0. 3 4 0. PLA 0. 6. 1 8. 1 6. 1. 0. CIOI 0001010 BOOI 000100A Gray code is a sequence of binary numbers with the property that no more than 1 bit changes in going from one element of the sequence to another. For example, here is a 3-bit binary Gray code: 000, 001, 011, 010, 110, 111, 101, and 100. Using three D flip-flops and a PLA, construct a 3-bit Gray code counter that has two inputs: reset, which sets the counter to 000, and inc, which makes the counter go to the next value in the sequence. Note that the code is cyclic, so that the value after 100 in the sequence is 000.Given that F(A,B,C) = A' B' + A C' Which of the following is a correct SoM expression for F? F(A,B,C) = m0+ m3 + m6 F(A,B,C) = m0 + m4 + m6 F(A,B,C) = mo + m1 + m4 + m6 F(A,B,C) = mo + m3 + m4 + m5 F(A,B,C) = m0 + m3 + m4 + m6 F(A,B,C) = m1 + m4 + m6 F(A,B,C) = m3 + m4 + m6 OF(A,B,C) = m1 + m4 + m5 F(A,B,C) = m3 + m4 + m5