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Design a-full subtractor with two multiplexers (MUXS) S(xy2) = E(...). C(xy2) = E(..). Connect the variable z to the data inputs. Connect the variables x and y to the selection inputs. %3D %3D

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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Consider the 4 x 1 multiplexer shown in Fig. 1. a. Obtain a Boolean expression for the output of the multiplexer (F) in terms of the inputs and the selection variables. b. Implement a 2-variable OR function using only the 4x1 multiplexer, {F=x + y}. c. Implement a 2-variable AND function using only the 4x1 multiplexer, {F=x . y}. d. Implement a 3-variable OR function using only the 4x1 multinlexer. {F=x + y + z}. e. Implement an inverter gate using only the 4x1 multiplexer. lo 4-to-1 MUX S1 So Fig. 1 HA
1. Use K-map to create the Boolean function (based on 4 variables, WXYZ) in SOP format. YZ WX 00 01 11 10 00 1 01 1 11 1 10 1 1 1 1 1.
3. Draw the combinational circuit that directly implements the Boolean expression on logisim/circuit lab. If drawn, no extra credit. No excuses. 15 points + 10 points extra credit if drawn and labeled with circuit drawing tools. a. xyz + (y' + z) b. x + xy + y'z c. (x (y z )) + (xz)'
QUESTION 8 Implement the following truth table directly (without any minimization) using a PLA. Properly label the inputs and outputs. Inputs W X Outputs Y 0 0 1 1 0 1 0 1 1 1 1 0 1 10 1 1 0 0 1 1 1 10 0 0 0. 1 0. 3 4 0. PLA 0. 6. 1 8. 1 6. 1. 0. CIOI 0001010 BOOI 000100
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Question 8: Draw the circuit that implements each of the following equations: B + AC' (W + Y)' + X' (B + A'D) + (BC)' (W' + XY)' + (VWX' + Z)'
[5] Implement the following Boolean function with a multiplexer: (a) F(A,B,C, D) = E(0,2,5,7,11, 14) (b) F(A,B,C,D) %3D П(3,8, 12) %3D
There are two major courses A and B, and two minor courses C and D in a department. A student can graduate if he or she passes: Both the major courses A and B or One major course and both minor courses C and D. Design a circuit to determine if the student can graduate or not. Part a: Determine the truth table. Hint: Use the name of the courses as the input variables of your truth table. i.e., A, B, C, D. Variable A is 1 if a student passes course A, otherwise 0. Part b: Write the function in sum of minterms form and simplify using K-map. Part c: Implement the simplified function on proteus and attach its screenshot. Note: Use 4-bit binary of your roll number’s last digit to show output in the screenshot. Part d: Implement the simplified function on virtual breadboard and attach its screenshot. Note: Use 4-bit binary of your roll number’s last digit to show output in the screenshot.
boolean expression: P = not((not(a.b) + c) + a.c) (c) Show that P (the Boolean expression above) is equivalent to the Boolean expression Q = a · b · not(c) and draw the corresponding circuit.
2. A2 (XYZ) = (X OY)C + (X' +Y')' a. Using Boolean manipulation, convert the Boolean expression to Standard Sum of Product (SSOP) form. b. For the given Boolean Expression, create a truth table and write down the Standard Product of Sum (SPOS) form.