1) Design an arithmetic circuit with one selection variables and two n-bit data inputs A and B. The circuit generates the following four arithmetic operations in conjunction with carry Cin. Draw the logic diagram of the arithmetic circuit. Cin =0 Cin = 1 F = A+ B (add) 1F=A-1 (decrement)F = A + B +1 (subtract) F= A+1 (increment)
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- 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 А - В 1 A +B Add 1 0 1 1 A А-1QI: 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-11. 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 S5. 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)B2. 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. U
- Design an arithmetic circuit with one selection variable S and two n-bit data inputs A and B. The circuit generates the following four arithmetic opera- tions in conjunction with the input carry Cin. Draw the logic diagram for the first two stages. 4-15. S Cin Cin = 1 D = A + B (add) D = A – 1 (decrement) D = A + 1 (increment) D = A + B + 1 (subtract) 1Design 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 would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. i) Provide a Truth Table of the circuit operation. ii) Derive a Boolean Expression for the circuit using a Karnaugh Map. ii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Your answer should include a Truth Table and a circuit diagram. Use a block diagram for the multiplexer.
- 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.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 input1. 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