Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > In a digital system ,there are three inputs A...
Start Learning for Free
In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is?
Most Upvoted Answer
In a digital system ,there are three inputs A,B,C .The output should b...
Minimized Boolean Expression for Output
Problem Statement
In a digital system, there are three inputs A, B, and C. The output should be high when at least 2 inputs are high.
Solution
To solve this problem, we need to follow the below steps:
Step 1: Create the Truth Table
The first step is to create a truth table for the given problem statement. The truth table is as follows:
| A | B | C | Output |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |
Step 2: Write the Boolean Expression for the Output
The next step is to write the boolean expression for the output using the truth table. We can see that the output is high when at least 2 inputs are high. Therefore, the boolean expression for the output is as follows:
Output = A'B'C + A'BC' + AB'C' + ABC
Step 3: Simplify the Boolean Expression
The final step is to simplify the boolean expression using the laws of Boolean algebra. We can simplify the above boolean expression as follows:
Output = A'B'C + A'BC' + AB'C' + ABC
= A'C(B' + B) + AC'(B' + B)
= A'C + AC'
= A XOR C
Therefore, the minimized boolean expression for the output is A XOR C.
Conclusion
In this way, we can solve the given problem statement and obtain the minimized boolean expression for the output.
Community Answer
In a digital system ,there are three inputs A,B,C .The output should b...
AB+BC+CA
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is?
Question Description
In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is?.
In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is?.
Solutions for In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? defined & explained in the simplest way possible. Besides giving the explanation of
In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is?, a detailed solution for In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? has been provided alongside types of In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? theory, EduRev gives you an
ample number of questions to practice In a digital system ,there are three inputs A,B,C .The output should be high when at least 2 inputs are high .The minimized boolean expression for the output is? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup