6.6.3 Write the Boolean Expression Now we write the Boolean expression based on the quasi-logic statement. To create a product of 1 for the active control code 0 1, we need to form the expression C D; to create a product of 1 for the other active control code 1 0, we need to form the expres- sion C.D. Based on this, the complete Boolean expression for the security system is Y- A (C.D)+(A +B) (C. D) (6.29) The alarm will sound (Y = 1) if the expression A . (C , D) is 1 or if the expres- sion (A + B) . (C , D) is 1; otherwise, the alarm will not sound (Y = 0). The first 210 CHAPTER 6 Digital Circuits expression will be 1 if and only if A is 1 and C is 0 and D is 1; the second expression will be 1 if and only if A or B is 1 and C is 1 and D is 0. For this particular problem, we can simplify Equation 6.29 by looking at a truth table for the C and D terms for the different control code combinations Note that (C , D)-D and (C·D)-C for the given control code combinations. If we disallow the state C D- 1 (see Question 6.21), Equation 6.29 can be simplified as Y (A D)(A+B) C (6.30)
Homework Answers
Add Answer to:
For the security system simplified Boolean expression derived in Section 6.6.3, if the input stat...
Please solve the problems from 1_5 Digital system Complete the following homework problems. Show all work...
Please solve
the problems from 1_5
Digital
system
Complete the following homework problems. Show all work (making sure it is legible) and circle all answers for clarity Problem 1 w3 w4 B w1 a) Determine Boolean functions for intermediate outputs w,w2,w3, and w4 as well as the output signals X and Y. b) Construct a truth table showing the intermediate outputs wl,w2,w3, and w4 as well as the output signals X and Y c) Use K-maps to find simplified expressions...
(a) Write a truth table. The input is 4-bit binary ABCD, A is MSB, D is...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
Derive the Boolean expression of a combination logic from the following truth table, where A, B,...
Derive the Boolean expression of a combination logic from the following truth table, where A, B, C are input variables and D is output. Draw the circuit diagram to implement it. Show your working steps. The full subtractor is a combinational circuit, which is used to perform subtraction of three input bits: the minuend X, subtrahend Y, and borrow in B_in. The full subtractor generates two outputs bits: the difference D and borrow out B_out. B_in is set when the...
Problem 3 Consider the following system: 2 213+w. where w denotes control input. Here we design a control system based on passivity. (a) Suppose that w =-r1 + x2 + 2.123 + u for a new control input u...
Problem 3 Consider the following system: 2 213+w. where w denotes control input. Here we design a control system based on passivity. (a) Suppose that w =-r1 + x2 + 2.123 + u for a new control input u. Show that the state equation can be written as the following cascade form: i fa(2) +F(z)y, 22u yT2, where z = [ri, r3]T e R2. Find the expression for fa (z) and F(z). (b) Show that when y0, the origin 0...
Please solve the problems from 7_8 Digital system please just answer 7_8 thank you 1 Chapter...
Please solve
the problems from 7_8
Digital
system
please just
answer 7_8
thank you
1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions...
//bubble sort implementation// Fig 6.15 with simplified convention for the for loop. #define _CRT...
//bubble sort implementation// Fig 6.15 with simplified
convention for the for loop.
#define _CRT_SECURE_NO_WARNINGS //for windows os only
#include <stdio.h>
#include <stdlib.h>
// Fig. 6.15: fig06_15.c
// Sorting an array's values into ascending order.
#include <stdio.h>
#define SIZE 10
// function main begins program execution
int main(void)
{
// initialize a
int a[SIZE] = { 2, 6, 4, 8, 10, 12, 89, 68, 45, 37
};
printf("Data items in original order");
// output original array
for (int i = 0;...
1 a the system stable. For example, in Chapter 2 we derived the transfer function for the inverte...
1 a the system stable. For example, in Chapter 2 we derived the transfer function for the inverted pendulum, which, for simple values, might be G(s) for which we have bs)1 and as)-s2-1-(s+)(s 1). Suppose we try Dcl (s) = K Istn . The characteristic equation that results for the system is (4.17) This is the problem that Maxwell faced in his study of governors: Under what conditions on the parameters will all the roots of this equation be in...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the mi...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the minus sign at the bottom entry of the summing junction on the left.) Block H and G represent LTI systems; H has transfer function HL and G has transfer function GL. All blocks are causal (so that the closed-loop system is causal as well). Both z and d are...
Please explain to me how the following arduino code control the smart home system design below. #...
Please explain to me how the following arduino code control the
smart home system design below.
#include "ESP8266.h"
#include <Wire.h>
#include <LiquidCrystal_I2C.h>
#include <dht.h>
#define DATA_PIN 2
#define SSID "abc"
#define PASSWORD "12345678"
byte termometerLogo[8] =
{
B00100,
B01010,
B01010,
B01110,
B01110,
B11111,
B11111,
B01110
};
byte humidityLogo[8] =
{
B00100,
B00100,
B01010,
B01010,
B10001,
B10001,
B10001,
B01110,
};
SoftwareSerial mySerial(10,11);
ESP8266 wifi(mySerial);
LiquidCrystal_I2C lcd(0x27, 2, 1, 0, 4, 5, 6, 7, 3,
POSITIVE);
dht DHT;
char buffData[150];
const int...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) contro...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Please solve
the problems from 1_5
Digital
system
Complete the following homework problems. Show all work (making sure it is legible) and circle all answers for clarity Problem 1 w3 w4 B w1 a) Determine Boolean functions for intermediate outputs w,w2,w3, and w4 as well as the output signals X and Y. b) Construct a truth table showing the intermediate outputs wl,w2,w3, and w4 as well as the output signals X and Y c) Use K-maps to find simplified expressions...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...
Derive the Boolean expression of a combination logic from the following truth table, where A, B, C are input variables and D is output. Draw the circuit diagram to implement it. Show your working steps. The full subtractor is a combinational circuit, which is used to perform subtraction of three input bits: the minuend X, subtrahend Y, and borrow in B_in. The full subtractor generates two outputs bits: the difference D and borrow out B_out. B_in is set when the...
Problem 3 Consider the following system: 2 213+w. where w denotes control input. Here we design a control system based on passivity. (a) Suppose that w =-r1 + x2 + 2.123 + u for a new control input u. Show that the state equation can be written as the following cascade form: i fa(2) +F(z)y, 22u yT2, where z = [ri, r3]T e R2. Find the expression for fa (z) and F(z). (b) Show that when y0, the origin 0...
Please solve
the problems from 7_8
Digital
system
please just
answer 7_8
thank you
1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions...
//bubble sort implementation// Fig 6.15 with simplified
convention for the for loop.
#define _CRT_SECURE_NO_WARNINGS //for windows os only
#include <stdio.h>
#include <stdlib.h>
// Fig. 6.15: fig06_15.c
// Sorting an array's values into ascending order.
#include <stdio.h>
#define SIZE 10
// function main begins program execution
int main(void)
{
// initialize a
int a[SIZE] = { 2, 6, 4, 8, 10, 12, 89, 68, 45, 37
};
printf("Data items in original order");
// output original array
for (int i = 0;...
1 a the system stable. For example, in Chapter 2 we derived the transfer function for the inverted pendulum, which, for simple values, might be G(s) for which we have bs)1 and as)-s2-1-(s+)(s 1). Suppose we try Dcl (s) = K Istn . The characteristic equation that results for the system is (4.17) This is the problem that Maxwell faced in his study of governors: Under what conditions on the parameters will all the roots of this equation be in...
Question 3 (10 pts): Consider the closed-loop system pictured below, with two inputs: the reference input z (ideally, to be tracked by output y) and a "disturbance" input d. (Note the minus sign at the bottom entry of the summing junction on the left.) Block H and G represent LTI systems; H has transfer function HL and G has transfer function GL. All blocks are causal (so that the closed-loop system is causal as well). Both z and d are...
Please explain to me how the following arduino code control the
smart home system design below.
#include "ESP8266.h"
#include <Wire.h>
#include <LiquidCrystal_I2C.h>
#include <dht.h>
#define DATA_PIN 2
#define SSID "abc"
#define PASSWORD "12345678"
byte termometerLogo[8] =
{
B00100,
B01010,
B01010,
B01110,
B01110,
B11111,
B11111,
B01110
};
byte humidityLogo[8] =
{
B00100,
B00100,
B01010,
B01010,
B10001,
B10001,
B10001,
B01110,
};
SoftwareSerial mySerial(10,11);
ESP8266 wifi(mySerial);
LiquidCrystal_I2C lcd(0x27, 2, 1, 0, 4, 5, 6, 7, 3,
POSITIVE);
dht DHT;
char buffData[150];
const int...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
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