Design each of the designs specified below.a) Design a half-subtractor circuit with inputs x and y and outputs Diff and Bout. The circuitsubtracts the bits x-y and places the difference in D and the borrow in Bout.b) Design a full-subtractor circuit with three inputs x, y, Bin and two outputs Diff and Bout.The circuit subtracts x-y- Bin, where Bin is the input borrow, Bout is the output borrow,and Diff is the difference.

Step 1:a)To design a half subtractor circuit with inputs x and y and outputs D and B. The circuit…

Answered: Design each of the designs specified…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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1. 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
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 explain
a. Draw a circuit which produces Sum and CarryOut from inputs A and B (this circuit is known as a half adder). You should use exactly one AND gate and one XOR (exclusive or) gate. b. Give the truth table for a full adder (which incorporates a carry-in bit to the sum of A and B):
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. U
Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.
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.
Part a Design a logic circuit using the truth table Inputs output shown. Use only basic logic gates (AND, OR, NOT). Also, the circuit should use the FEWEST number of gates and the FEWEST number of inputs to the gates. Fully label all the inputs and outputs. a b. 1 1 1 1 1. 1 1 Part b Implement a 3-input XOR gate using only a 4x1 multiplexer and an inverter. Also complete the truth table in your answer sheets with the correct labels and function solution. Fully label all inputs and outputs. Part c Design a full-adder using half-adders and A- additional logic using the half-adder shown here. Pi Gi
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 R
Given a 4-bit signed integer, design a circuit that outputs its absolute value. You can assume that the input will always have a valid output. (a) Draw a logic diagram of this circuit. You may use 4-bit half adder(s), 2x1 4-bit multiplexer(s), and any logic gate(s) in your design. (b) With the following Verilog code, implement your design above in Verilog. module half_adder (input [3:0] a, input [3:0] b, output [3:0] s); assign s = a + b; endmodule module mux(input [3:0] D0, input [3:0] D1, input S, output reg [3:0] O); always @(*) begin if (S == 0) O = D0; else if (S == 1) O = D1; else O = 4’bx; end endmodule
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-1
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).
Design a 1-bit subtraction circuit. This circuit takes three inputs-two binary digits a and b and a borrow digit from the previous column. The circuit has two outputs-the difference (a – b), including the borrow, and a new borrow digit that propagates to the next column. Create the truth table and build the circuit. This circuit can be used to build N-bit subtraction circuits.

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