Consider the following specifications of an alarm system:Four sensors w, x, y, and z are used as inputs and the alarm's sound S is used as output.If sensors w and z together detect an event, the output S must go ON.If sensors w, x, and y together detect an event, the output S must go ON.Otherwise, the output S remains OFF.a) Build a truth table for this system.b) From the truth table, derive a Boolean expression in both canonical and standard SOPforms.c) Using Boolean Algebra, simplify your expression to the minimum number of literals.d) Using K-map, find the simplified expression that you found in c).e) Implement the simplified expression with gates.

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Answered: Consider the following specifications…

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 a thermostat with only one temperature threshold. In the initial state, if the temperature is less than or equal to 20 degrees Celsius, it turns the heater on and leaves it on for at least 30 seconds. After that, if the temperature is greater than 20 degrees, it turns the heater off and leaves it off for at least 2 minutes. It turns it on again only if the temperature is less than or equal to 20 degrees. Design an FSM that behaves as described, assuming it reacts exactly once every 30 seconds
A comparator with four inputs and four outputs will be designed. A1, Ao, B1 and Bo are the inputs; Y3 = F(A1, Ao, B1, Bo), Y2 = F(A1, A9, B1, Bo), Y1 = F(A1, A9, B1, Bo) and Yo = F(A1, Ao, B1, Bo) are the outputs of the circuit. A = (A,A0)2 and B = (B,B0)2 represent two bits binary numbers. When A > B, the output Y3, when A 2 B, the output Y2, when A < B, the output Y1, and when A < B, the output Yo is going to be Logic 1. a) Give the truth table of the comparator.(10 points) b) Design the output Y3 of the comparator with two-layer NOR-OR gates and draw the output Y3.(25 points) Example: For the binary numbers A (01)2, B= (11)2, the input is (A1 A,B1 Bo)2 = (0111)2, and the output is going to be (Y3Y2Y,Yo)2 = (0011)2. %3D For the binary numbers A (10)2, B = (01)2, the input is (A1A,B1BO)2 = (1001)2, and the output is going to be (Y3Y2Y1Y0)2 = (1100)2. For the binary numbers A = (11)2, B = (11)2, the input is (A, A,B1B0)z (1111)2, and the output is going to be (Y3Y2Y1Y0)2 = (0101)2. %3D
Implement the combinational circuit for the following problems. Provide the step- by-step solution by showing the following: (1) Create complete truth table of the operating process. (2) Derive the propositional expression for each of its output using Minterms. Then simplify the propositional expression using Karnaugh map. (3) Create the schematic diagram using the standard symbols for combinational circuit and simulate using a circuit simulator. Note switches acts as inputs and LED as output indicators. Use only 2 input logic gates in the design and then provide a screenshot of 3 different input values with its output result. Recommended circuit simulators, Logic.ly, Logisim and NI Multisim. (4) Implement the schematic diagram by creating the actual wiring connection of the combinational circuit using data sheet IC image of logic gate ICs including the connections for the +5Vdc, ground, the input switches and the output LEDS (as seen on the combinational circuit handouts). Implement…
1. Write a program for a logic circuit given below with the help of gate-level modeling in Verilog. 2. Write the logical expressions and a test bench of the given circuit diagram.
Exercise 1 The truth table of the functions F1(x,y,z) and F2(x.y.z) are given below: y F1 F1 1 1 1 1 1 1 1 0. 1 1 1 1 1 1 1 1 1. Determine the Boolean functions of F1(x.y,z) and F2(x.y.z). 2. Give the Implementation circuits of F1(x.y,z) and F2(x.y.z). 3. Implement Fi(x.y,z) and F2(x.y,z). Use: https://circuitverse.org/simulator
Implement boolean function f(A, B, C, D) =( 0,2,5,8,10, 14) B part :(A, B, C, D) =(2, 6,11)
Example 2: here is a somewhat more elaborate example where the behavior of belief and plausibility begins to emerge. We're looking through a variety of detector systems at a single faraway signal light, which can only be coloured in one of three colours (red, yellow or green)
A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 72 Q, R3 = 61 Q and R4 = 99 Q. The inductance is L = %3D V L 549 mH and the battery voltage is V = 24 V. R3 1) The switch has been open for a long time when at time t = 0, the switch is closed. What is l1(0), the magnitude of the current through the resistor R1 just after the switch is closed? A Submit 2) What is 1(o0), the magnitude of the current that flows through the resistor R1 a very long time after the switch has been closed? A Submit 3) What is VL(0), the magnitude of the voltage across the inductor just after the switch is closed? V Submit 4) What is IL(0), the magnitude of the current through the inductor after the switch has been closed for a very long time? A Submit 5) What is I2(0), the magnitude of the current through the resistor R2 just after the switch is closed? A Submit
WAP to find the potential difference applied to an X-ray tube is 5kV and the current through it is 3.2mA. What is the number of electrons striking the target per second in Java|
A- Consider a fuzzy logic controller is used to control the speed of a motor by changing its input voltage (V) according to two input variables; speed (SP), and speed change rate SC. Let the fuzzy set of SP be (Slow (S), Normal (N), Fast (F)}, and the fuzzy set for SC be (Low (L), Medium (M), High (H)), and for the control action be {Slow (SCE [0, Down (DN), No Change (NC), Speed Up (Up)}, where, (SPE [250, 1000]), 10]), and (Ve [3, 8 ]) with step = 0.5. Find the control action if SP=910 And SC= 6.5 based on the fuzzy rules shown in table ^ S N F L Up NC NC M Up NC NC HNC DN DN
Simplify the given functions using Boolean Algebra and draw the logic circuit.
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)'

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