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 the truth table for the problem, the Boolean expression that describes the truth table and the digital circuit for the Boolean expression.
b. Given the truth table below, find the Boolean expression, simplify it and then draw the digital circuit.
|
A |
B |
C |
Y |
|
0 |
0 |
0 |
1 |
|
0 |
0 |
1 |
1 |
|
0 |
1 |
0 |
1 |
|
0 |
1 |
1 |
0 |
|
1 |
0 |
0 |
0 |
|
1 |
0 |
1 |
1 |
|
1 |
1 |
0 |
1 |
|
1 |
1 |
1 |
1 |
Homework Answers
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5. a. A house’s security system has a keylock, a fingerprint
reader, a numpad and a...
For the security system simplified Boolean expression derived in Section 6.6.3, if the input stat...
For the security system simplified Boolean expression derived in Section 6.6.3, if the input state CD 11 resulted from a malfunction, explain how the alarm system would respond in different situations? 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...
a) A security system for a building has three ways of detecting an intruder. 1. Security...
a) A security system for a building has three ways of detecting an intruder. 1. Security camera (SC) which sends a 1 when an intruder is detected. 2. Motion sensor (MS) which sends a 0 when an intruder is detected. 3. Noise level detector (NLD) which sends a 1 when the noise level rises beyond a certain threshold. The system should work such that the alarm should sound when: • SC doesn’t detect an intruder but the MS and the...
A security system for a building has three ways of detecting an intruder. 1. Security camera...
A security system for a building has three ways of detecting an intruder. 1. Security camera (SC) which sends a 1 when an intruder is detected. 2. Motion sensor (MS) which sends a 0 when an intruder is detected. 3. Noise level detector (NLD) which sends a 1 when the noise level rises beyond a certain threshold. The system should work such that the alarm should sound when • SC doesn’t detect an intruder but the MS and the NLD...
A security system for a building has three ways of detecting an intruder. 1. Security camera...
A security system for a building has three ways of detecting an intruder. 1. Security camera (SC) which sends a 1 when an intruder is detected. 2. Motion sensor (MS) which sends a 0 when an intruder is detected. 3. Noise level detector (NLD) which sends a 1 when the noise level rises beyond a certain threshold. The system should work such that the alarm should sound when • SC doesn’t detect an intruder but the MS and the NLD...
A security system for a building has three ways of detecting an intruder. 1. Security camera...
A security system for a building has three ways of detecting an intruder. 1. Security camera (SC) which sends a 1 when an intruder is detected. 2. Motion sensor (MS) which sends a 0 when an intruder is detected. 3. Noise level detector (NLD) which sends a 1 when the noise level rises beyond a certain threshold. The system should work such that the alarm should sound when • SC doesn’t detect an intruder but the MS and the NLD...
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...
Question 1 Digital Electronics and Combinational Logic 1a) Analog and Digital Electronics i. Write either "digital"...
Question 1 Digital Electronics and Combinational Logic 1a) Analog and Digital Electronics i. Write either "digital" or "analog" in this to indicate whether the property in that row is - typical of digital electronics or analog electronics. The first row has been completed as an example. Property Digital/Analog Difficult, manual circuit design Analog Continuous valued signals Tolerant of electrical noise Circuit state tends to leak Intolerant of component variations ii. In older cars the timing of the electrical pulses to...
Design a digital system that will count the number of switches activated and display that count...
Design a digital system that will count the number of switches activated and display that count in binary using LEDs. An LED that is illuminated represents a '1' and an LED that is off represents a '0'. ____ Interface 3 switches to your design _____ Interface 8 LEDs to your design _____ Show all circuit diagrams _____ Provide any boolean logic, truth tables, karnaugh maps I need help with the circuit diagrams and boolean logic, truth table, and K-map. Please...
2. The decimal digits 0 to 9 are represented by four logic signals using the 7321 weighted BCD code. Only the code...
2. The decimal digits 0 to 9 are represented by four logic signals using the 7321 weighted BCD code. Only the code 0011 is used to represent the digit 3. In addition the code 1100 is used to represent the character E. Codes that do not represent either a decimal digit (including 0100), or the character E never occur. The logic signals are inputs to a decoder circuit whose outputs provide drive signals for a seven segment display system shown...
(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...
For the security system simplified Boolean expression derived in Section 6.6.3, if the input state CD 11 resulted from a malfunction, explain how the alarm system would respond in different situations? 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...
Question 1 Digital Electronics and Combinational Logic 1a) Analog and Digital Electronics i. Write either "digital" or "analog" in this to indicate whether the property in that row is - typical of digital electronics or analog electronics. The first row has been completed as an example. Property Digital/Analog Difficult, manual circuit design Analog Continuous valued signals Tolerant of electrical noise Circuit state tends to leak Intolerant of component variations ii. In older cars the timing of the electrical pulses to...
2. The decimal digits 0 to 9 are represented by four logic signals using the 7321 weighted BCD code. Only the code 0011 is used to represent the digit 3. In addition the code 1100 is used to represent the character E. Codes that do not represent either a decimal digit (including 0100), or the character E never occur. The logic signals are inputs to a decoder circuit whose outputs provide drive signals for a seven segment display system shown...
(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...
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