a)Analyse the logic function given below:Light is auto-ON whenSwitch is ON AND(Motion detected OR Dark detected)(Input : X – Switch, Y- Motion, Z– Darkness Sensor, L– LIGHT)i.Develop a truth table that satisfies the above logic function.ii.Derive the logic expression (SOP) from the truth table in (i).i.Minimize the logic expression obtained from (ii).iv.Draw the simplified logic circuit based on minimum expression obtained from (iii).

In the given question we have to find the 1. Truth table 2. Logic expression (SOP) 3. Minimize the…

a) Analyse the logic function given below: Light is auto-ON when Switch is ON AND (Motion detected OR Dark detected) (Input : X- Switch, Y- Motion, Z– Darkness Sensor, L- LIGHT) i. Develop a truth table that satisfies the above logic function. i. Derive the logic expression (SOP) from the truth table in (i). ii. Minimize the logic expression obtained from (ii).

a) Analyse the logic function given below: Light is auto-ON when Switch is ON AND (Motion detected OR Dark detected) (Input : X- Switch, Y- Motion, Z– Darkness Sensor, L- LIGHT) i. Develop a truth table that satisfies the above logic function. i. Derive the logic expression (SOP) from the truth table in (i). ii. Minimize the logic expression obtained from (ii).

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.

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a)
Analyse the logic function given below:
Light is auto-ON when
Switch is ON AND
(Motion detected OR Dark detected)
(Input : X – Switch, Y- Motion, Z– Darkness Sensor, L– LIGHT)
i.
Develop a truth table that satisfies the above logic function.
ii.
Derive the logic expression (SOP) from the truth table in (i).
i.
Minimize the logic expression obtained from (ii).
iv.
Draw the simplified logic circuit based on minimum expression obtained from (iii).

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