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 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 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 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 circuit
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.
Draw a truth table for the circuit showing the value of the inputs (I1 and I2) and the value of the outputs (Q and Q’). Note that the outputs, Q and Q’, should (but may not always) maintain a complementary relationship. 11 Q Q 12
Design 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 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
combinational circuit has 3 inputs A, B, C and output F (A,B,C). F is true when (A is False and B is True), or (A is False and Cis True), or (A and B and C) are False, or (A and B and C are True). The function can be represented as F(A,B) = T M(4, 5, 6) a F(A,B) = E m(0, 1, 2, 3, 6, 7) b O F(A.B) = TT M(0, 1. 2. 3, 7) .c O %3D F(A,B) = E m(0, 1. 2. 6. 7) d O

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