Design a circuit that compares two 3-bit numbers A and B to check if they are equal and less than. The circuit has two outputs X and Y, So that X=1 if A==B and X=0 if A!=B and Y=1 if AB
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- 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 explain1. Design a half-subtractor circuit with inputs x and y and outputs Diff and B out. The circuit subtracts the bits x - y and places the difference in D and the borrow in B out. A. Design a full-subtractor circuit with three inputs x, y, B in and two outputs Diff and B out. The circuit subtracts x - y - B in, where B in is the input borrow, B out is the output borrow, and Diff is the difference. B. Create a truth table c. Simplify the Boolean function using KMap D. þraw the logic diagramDesign 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?
- Design a combinational circuit that accepts three inputs, x, y, and z, and produce three outputs, A, B, and C. When the binary input is smaller than 6 the binary output is three greater than the input. Otherwise, the binary output is one greater than the input. Impalement the output using a 3 x 8 decoder. Ans: Truth table К-Мар y Z А В C yz A = yz В — yz C = Combinational circuitExpert 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 53Design a circuit that compares two 3-bit numbers A and B to check if they are equal and less than. The circuit has two outputs X and Y, So that X=1 if A==B and X=0 if A!=B and Y=1 if A<B and Y=0 if A>B
- 3. x y find the output of the given circuits. yDesign a combinational circuit whose input is a 4-bit number, and output is a 4-bit number. if the input number is between 1-9 the output will be the number at the same position in your student ID. For example, if your student id is 220311299 a₁ 2 ● 82 2 • ● ● a3 0 a4 3 as 1 as 1 a7 2 as Use only NAND Gates. You should use your correct student id to solve this question. Show all your steps. 9 When the binary input jis 1, 2, 3,4,5,6,7,8, or 9 you will output the BCD value of the number at that position a, as shown above. • If the input j is 0,10,11,12,13,14, or 15 the output will be (don't care). ag 9Design a combinational circuit that accepts a 4-bit input and checks if the input is a palindrome or if the first two bits are equal to the last two bits. Let the input be represented as A, B, C, D, while the output be represented as F. Let the output be F=1 if the input is a palindrome or if the first two bits are equal to the last two bits, and F=0 if otherwise. What is the boolean function (in sum of minterm format) of output F? After simplifying in sum of product format, how many terms are there in the Boolean function? List one of the possible terms:
- Give the output signals for the circuit if the input signals are as indicated. R = P Q OR NOT input signals: P = 1 and Q = 1 AND RDesign 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).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.