4. Design a circuit that produces 1 if a 2- bits binary number is odd, otherwise the circuit produces 0. what is the output of this circuit in SoP format? A'B + AB' A'B' + AB АВ + AB A+B
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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?8. Design a circuit that produces 1 if a 2- bits binary number is odd, otherwise the circuit produces 0. what is the output of this circuit in SoP format? A'B + AB A'B' + AB O A'B + AB' A+BExpert 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 53
- Design a circuit with a 4-bit BCD input A, B, C, D that produces an output W, X, Y, Z that is equal to the input + 3 in binary. For example, 9 (1001) + 3 (0011) = 12 (1100). The outputs for invalid BCD codes are don’t-cares. Write the truth table and the Karnaugh maps used to simplify the Boolean expression!Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?Design a combinational circuit that accepts a 4-bit number and generates abinary number output that approximates the square root of the number. Forexample, if the square root is 3.5 or larger, give a result of 4. If the squareroot is <3.5 and >= 2.5, give a result of 3. Use K-maps to simplify the circuit.Draw the circuit.
- 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?1. A possible logic circuit design for a 3-bit even parity bit generator is shown below. Analyze the circuit and trace its outputs given different input combinations. Complete the circuit's truth table. Also generate its Boolean expression. Inputs Output C A B 1 1 1 1 1 1 1 1 Boolean expression: Considering your derived Boolean function, simplify the equation using Boolean algebra. P.Q6: - 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 input
- What Boolean function does the following circuit represent? A YA computer circuit is to generate a 1 if the decimal value of the binary number X3X₂X₁X, is either 0, 2, 3, 6, 10, 11, or 14. a. Write a truth table that represents the logic of the computer circuit described above. b. Write a boolean expression for C(XX₂X₁X) that performs the required logic. Do not simplify.Use Karnaugh map to reduce the following Boolean expression then draw the digital circuits for the simplified expression. F= A’BC + ABC’ + A’B’C + A’B’C’ + A’BC’