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design an odd-parity circuit. This is a circuit that has three inputs and one output. The circuit outputs a 1 if and only if even number (0 or 2) of its inputs are a 1. Otherwise, the circuit outputs a 0. Thus, the sum of the number of 1 bits in the input and the output is always an odd number.
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- 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?Expert Q&A Done Design a combinational logic circuit that converts a 4-bit binary number into its corresponding 2's complement representation. For example, if the 4-bit number is "1111", the outputs should be "0001". Similarly, if the 4-bit number is "0000", the outputs should be "0000" Please complete the following truth table. Input 4-bit number 2's complement of the input number B s1 S2 S3 S4 ill out the following K-maps and then write down an optimized equation for S1, S2, S3, and S4, respectively. Hint: the equation of S4 can be immediately determined by inspecting the truth table. S1 52 53Q19/ a combinational circuit has four inputs (A, B, C, D), which represent a binary- coded- decimal digit. The circuit has two groups of four outputs S, T, U, V, and W, X, Y, Z each group represents a BCD digit. The output digits represent a decimal number which is 1 more than four times the input number. For example if ABCD=0011, the output are 0001 0011. Assume that invalid BCD digits do not occur as inputs. a- Construct the truth table b- Write minterms and max terms for all output C- Find SOP and POS for all output
- Design a combinational circuit with three inputs x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. For example, if the inputs are 000, the outputs are 001. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. For example, when inputs are100, the outputs are 010. Show the truth table for the inputs and outputs. please show all steps , dont just explainA combinational circuit takes a 3-bit number N as an input and generates two outputs X and Y. The bits of the input are labelled A, B and C (A is the most significant bit and C is the least significant bit of the number N). The output X, is set to '1' when the input number N is odd and '0' otherwise. The output Y is set to '1' when the input number N is even and '0' otherwise (0 is an even number). 1) Draw the truth table of the circuit. 2) Write the Minterm expansion of X in decimal form. 3) Write the Maxterm expansion of Y in decimal form. 4) Write the Minterm expansion of in decimal form.Design a combinational circuit for four inputs in a way that if the input is less than 8, output will be 2 higher than the respective input. For the other inputs, outputs will be 1 lower than the respective inputs. Example: if input is 3 (0011), output will be 5(0101). But if input is 11 (1011), output will be 10 (1010).
- 6. In a(n) circuit, the input values explicitly determine the output. 7. In a(n) existing state of the circuit. circuit, the output is determined by the input as well as the 8. A circuit that computes the sum of two binary digits, taking the input carry bit into account, is called a(n) 9. A(n) based on select signals is a circuit that selects a single output value from a set of inputs 10. A S-R latch is a circuit that can be used asQ6: - binary number (e.g., 101 → 100. Also, 000 → 111): a) Show the truth table. b) Show the Boolean expressions for the outputs in SoP. c) Design an efficient circuit using NAND gates only. Design a 3-bit DECrementor, that is, the cicuit generates the previous number of the inputBuild a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate the output corresponding to the product of WX and YZ. You will need 4 bits of output for this problem.For example, if your input was 1011, your inputs correspond to 2 and 3. That product is 6, so your output will be 0110.Create a truth table for this problem, show all k-maps and minimizations, and build the corresponding (minimized) circuit. Use XOR, XNOR, NAND, and NOR as appropriate if it reduces the number of gates used.
- In this problem, you should design a two-bit comparator. This circuit should have three outputs named l, g, and eq. The circuit should get two digits binary numbers (00, 01, 10, 11), and the output should change based on these rules:• If first number > second number then g = 1, l = 0, and eq = 0• If first number < second number then g = 0, l = 1, and eq = 0• If first number = second number then g = 0, l = 0, and eq = 1Your circuit will have 4 input (2 bit for the first number, and 2 bits for the second number)a. Draw the truth table for the comparator for unsigned numbers b. Show the circuit.1. Your goal is to design a circuit which has as input a number 0-9 represented in binary form. The inputs are labeled A, B, C, D where A is the most significant bit. 10-15 represent "don't care" conditions. The output is the sum of 3 and the input represented in binary form. The outputs are labeled W, X, Y, Z where W is the most significant bit. a. Create a truth table for the circuit. b. Complete the Karnaugh maps for W and Y, minimizing the Boolean functions. Blank K-maps are attached. Write the Boolean equations for W and Y from the K-maps. с. 2. Implement the following truth table directly (without any minimization) using a PLA. Properly label the inputs and outputs. Inputs Outputs A C D X Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1A combinational circuit has 3 inputs A, B, C and output F. F is true for following input combinations, (i) A is False, B is True (ii) A is False, C is True (iii) A, B, C are False (iv) A, B, C are True Find the simplified expression for F in SOP form. Select one: O a. F=A'+BC O b. F=A'+B O c. F=A'+BC' O d. F=BC