Design a combinational logic circuit that takes a 3–bit input and has one output P. The P output should be active high only when the inputs corresponds to a prime number Note: the prime numbers: Prime numbers are 2, 3, 5, 7… Select one: a. P= AC+B b. P= A'C+A'B c. P= AC+A'B d. P= AC+A'B'
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Design a combinational logic circuit that takes a 3–bit input and has one output P. The P output should be active high only when the inputs corresponds to a prime number
Note: the prime numbers: Prime numbers are 2, 3, 5, 7…
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- QI: A: Design an arithmetic circuit with one selection variable S and two n-bit data inputs A and B. The circuit generates the following four operations in conjunction with the input carry Cin. Draw the logic diagram for the first two stages. S Cin Operation 0 0 0 1 1 0 1 1 A - B A +B A Add A-15. Design a logic circuit with 3-bit inputs A, B, C that produces an output W, X, Y, Z that is equal to the input + 6 (110) in binary. For example If the input is equal to 5 decimal then the output should be 5+6=11 decimal, the circuit will take all numbers in binary form and the output will also be in binary (101)B + (110)B=(1011)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 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 explainDesign 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?1. Design a logic circuit that has 3 inputs A, B, and Cand one output F. The output of the circuit is to be F = 1if the number of ones in input variables (ABC) is even, otherwise F=0. Construct the truth table. 2. Fnd the minterm expansion for the combinational circuit represented by the following truth table: АВСЕ 0000 0011 0100 0111 1001 1011 1100 1111 Use the editor to format your answer
- Q1: Design an arithmetic circuit with two n-bit data inputs A and B and one selection S to generate the following four arithmetic operations with input carry Cin. Draw the logic diagram for the first two stages. www e Cin=0 Cin=1 D= A+B (add) D = A+1 (increment) 1 D= A-1( decrement) D = A+B+1 (subtract) Activ Go to SA: Design an arithmetic circuit with one selection variable S and two n-bit data inputs A and B. The circuit generates the following four operations in conjunction with the input carry Cin. Draw the logic diagram for the first two stages. S Cin Operation А - В 1 A +B Add 1 0 1 1 A А-1Design 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).
- 1. Design a combinational circuit with three inputs and one output. The output is 1 when the binary value of the input is less than 3. The output is 0 otherwise. Show truth table. 2. Design a combinational circuit with three inputs x,y,z and three outputs, A,B, C. 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 one less than the input. Show truth table.2. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input represents any of the decimal digits 1, 2, 3, or 6, the binary output should represent the decimal digit that is one greater than the input, that is 2, 3, 4 and 7, respectively. Similarly, when the binary input represents any of the digits 4, or 7, the binary output should represent the digit that is two less than the input. The remaining two inputs, that are the binary representations of the decimal digits 0 and 5 never occur. Draw the truth table, and give all the minimal forms for the functions that represent the outputs A, B, and C. U1. 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 diagram