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)
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For the security system simplified Boolean expression derived in Section 6.6.3, if the input stat...
5. a. A house’s security system has a keylock, a fingerprint reader, a numpad and a...
5. a. A house’s security system has a keylock, a fingerprint reader, a numpad and a phone app. The system unlocks the house if it detects the owner’s fingerprint on the reader, and the code is dialed on the numpad or is given via the phone app or both, regardless if the key is present or not. Alternatively, if only the key is present, the system unlocks if it receives the code by both the pad and phone app. Give...
A simple security system for two doors consists of a card reader and a keypad. A...
A simple security system for two doors consists of a card reader and a keypad. A person may open a particular door if he or she has a card containing the corresponding code and enters an authorized keypad code for that card. The outputs from the card reader are as follows: A B No card inserted 1 0 Valid code for door 1 1 1 Valid code for door 2 0 1 Invalid card code 0 0 To unlock...
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 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...
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