1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: \((A + B) \overline{C}\)Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: \(\overline{(AB)(\overline{BC})}\)Write the Boolean expression that is equivalent to the following circuit.**Diagram Explanation:**The diagram consists of the following components:- **Inputs:** Four inputs labeled A, B, C, and D. - **Gates:** - Two 2-input OR gates. The first OR gate takes inputs A and B; the second OR gate takes inputs C and D. - A 2-input AND gate. The outputs from the two OR gates are connected to the inputs of this AND gate. - A NOT gate (inverter). The output from the AND gate is connected to the input of the NOT gate. - **Output:** - The output of the NOT gate represents the final output of the circuit. To find the Boolean expression for this circuit, label the OR gate outputs as follows: \(X = A + B\) \(Y = C + D\)The output of the AND gate becomes: \(Z = XY = (A + B)(C + D)\)Finally, the NOT gate inverts the AND gate output: \(\overline{Z} = \overline{(A + B)(C + D)}\)The equivalent Boolean expression for the circuit is \(\overline{(A + B)(C + D)}\).

The 2-input OR gate gives the logical addition as output. The 2-input AND gate gives the logical…

1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)T Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC) Write the Boolean expression that is equivalent to the following circuit. A B. D

1. Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (A + B)T Use the 2-input version of the basic AND, OR, NOT gates to implement the following Boolean expression. Insert a drawing of your circuit here. Expression: (AB)(BC) Write the Boolean expression that is equivalent to the following circuit. A B. D

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

See similar textbooks

Similar questions

Create a non-abbreviated logic diagram for the following Boolean Expressions. You can use all gates. (a XOR b + b’ XOR c’)
A. Write the Boolean equation directly from the following circuit. B. Create the truth table for the circuit above.
A' B DD B' F The Boolean expression for the above logic circuit is а. F = (A' + B) + (B' +C) b. F = A'B + B'C F = A'B. B'C d. None of the above C.
Need help with this. Please.
2. Design a logic circuit that controls an elevator door in a three-story building. The circuit has four inputs. M is a logic signal that indicates when an elevator is moving (M=1) or stopped (M=0). F1, F2 and F3 are floor indicator signals that are normally LOW, and they go HIGH only when the elevator is positioned at the level of that particular floor. For example, when the elevator is lined up level with the second floor, F2=1 and F1=F3=0. The circuit output is the OPEN signal which is normally LOW and is to go HIGH when the elevator door is to be opened.
3-Write the truth table and logic equation represented by this circuit? A- ХOR B- OR AND XOR 4-Draw the logic circuit represented the following truth table. INPUT A INPUT B INPUT C OUTPUT P 1 1 1 1 1 1 1 1 1 1 5-Draw the logic circuit represented the following truth table.
h) Use Boolean reduction techniques to reduce the following Boolean expression to achieve the minimum number of basic logic gates, clearly describing what you have done at each step. F = (AC + A)B + (BC). (AC) + BC
8. Minimize the following boolean expression, Z, using the Boolean Identities. (Hint: final expression has 2 terms and 3 literals) a. Z(r, y, z) = y'z + a'(zy)'+ (x' +y+2)' b. Draw the 2-level AND-OR gate network for the simplified expression of F.
Need help with this. Please.
None
2. Write the Boolean expression of the given logic circuit as shown below. X. F =
8. For the following circuits, find a Boolean expression and construct the truth table. a) A B b) A B. N