5. Given the following sequential circuit, provide equations for A and B (give the unsimplified SoP version for your answer, simplify for yourself as needed), construct a state table, and complete the timing trace until no state information remains. Looppe Clock x 001100110 A A* B* A*B* 2 AB x = 0 x = 1 x=0 x=1 x 0 0 1 1 0 0 110 A 1 B? 22 The End.
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- 00 A-00 11 c=10 01 10 Z-0 Z-0 Too 01 01 10 11 01 10 00 10, В-01 D-11 Z-1 00 Z-1 1. Draw the state table of the circuit. 2. Implement the sequential circuit that will provide this state diagram using D-Flip-Flops, 8x1 MUX. 3. The design will be made as a mealy model. Draw the new state diagram according to the Mealy model. 10C1. Consider the designing of a synchronous circuit to detect the sequence 0110. The circuit has a single input x, and a single output z. The output is logic-l whenever the input sequence 0110 is detected, logic-0 otherwise. Note that overlapping sequences are allowed. Answer the following questions: a. Complete the following state diagram of the circuit: 1 so s1 S2 S3 S4 b. Draw and fill the state table of the circuit. c. Write the equations of the state variables and the output Z.The state table shown in Table 3 is for a sequential synchronous circuit. Choose a specific encoding and assignment for the states, and complete the equations of excitation and design for the circuit using type D and S-R flipflops. Present Next State Yield State * = Y2Y1Y0 Y,Y1Y0 Y½Y1Y x = 0 = 1 A В A В A 1 C D A D D E 1 E C 1 1 Table 3: State Table Question 3a
- 10 The simplified Boolean function in SoP, which is obtained from F (A,B, C) = N (2, 3, 4, 5, 6, 7) is: O AB + A'B' O A'B'C' O A'B' O AB O NoneQ4// Design a combinational circuit with three inputs, A, B, and C, and three outputs,x, y, bläi 10 and z. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two * less than the inputCl. Consider the designing of a synchronons circuit to detect the sequence 1100. The circuit has a single input x, and a single output z. The output is logic-1 whenever the input sequence 1100 is detected, logic-0 otherwise. Note that overlapping sequences are allowed. Answer the following questions: kel a Complete the following state diagram of the circuit SO SI S2 S3 S4 b. Draw and ill the state table of the circuit. Write the equations of the state variables and the output Z.
- 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.A. Construct the truth tableB. 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?Given an infix expression a*(b+c)-d, its postfix expression is (A) a b c d * + - (B) a b c + * d - (C) a b c * + d - (D) - + * a b c d Which is the right answer and please explain whyCreate a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Also, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and tricks are useful here for multi-bit pins, and how to set up different gates to support more than 1 bit. If using YOUR adder or subtractor circuit in your ALU that is not only acceptable…
- Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?Simulate the following circuit and write the truth table * A B. C- Simulate the following circuit and write the truth table A CIn 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--> 00