Logical Operators − Biconditional Operator
ฝัง
- เผยแพร่เมื่อ 7 ก.พ. 2025
- Discrete Mathematics: Logical Operators − Biconditional Operator
Topics Discussed:
1. Definition of Biconditional Operator.
2. The truth table of Biconditional Operator.
3. Why p if and only if q?
4. Different ways to represent Biconditional Operator.
5. Example of Biconditional Operator.
6. Homework problem.
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to sum up:
Biconditional operator p q
it's a conjunction between
p->q & q->p
the statement is true if and only if both of p and q are equivalent (both are true or false)
pq means p is necessary and sufficient for q and vice versa..
necessary ( p=false then q=false for sure)
sufficient ( p=true then q=true for sure)
Thank you so much!
Your videos on Logical Operators helped me a lot! I was really confused about them, and now everything is clear!
Awesome videos!
Thank you for your support every student easily understood. Your way of teaching is so good, even 7th class or 8'th class students also easily understandably you designed this course.
It's been 3 year's long from posting it on TH-cam still we can have access to it anytime thanks to the digital revolution..
Solution of HW Problems:
1. You will be informed if and only if you read newspaper everyday.
2. It rains if and only if it is a weekend day.
3. The trains run late if and only if I take it.
4. You can get an A in this course if and only if you learn how to solve discrete mathematics problems.
Thank You:)
Not understand your ans some word are missing
Your answers are not correct for 1 and 3.
Qno3
If I take the train then it will run late it's is correct
Explain 1st question
@@shazaibahmad7807
If and only if use karke karna Hain na
1. You will be informed if and only if you read newspaper everyday
2. It rains if and only if it is a weekend day
3. The trains run late if and only if I take it
4. You get an A in this course if and only if you learn how to solve DMS problems
3rd me exactly kha gya
@@divyanshlaad6743 Got replaced by "if and only if".
1 and 3 answers are not correct
@@10_satyasibadasthen what's the correct answer?
1) if you read newspaper every day then you will be informed, and conversely.
This is the right answer for first. Using representation number. 2
1. You will be informed if and only if you read the newspaper everyday.
2 .It is a weekend day if and only if it rains OR
It rain if and only if it is a weekend day.
3. The train will run late if and only if i take it
4. You will get an A in this course if and only if you learn how to solve discrete mathematics problems.
Crt
Sir, you need to upload the answers to the homework problem. It's difficult to verify our answers whether I have made them correct or not.
you could checkout comment section for others answers
I always like you your teaching way it is for only a laborious students not for intelligent and oversmart student i always salute sir a very much thanks for giving a quality education freely thanks a lot...
So far your lectures are helping me so much and doing far more than my horrible professor who just says to read and figure it out. Thank you so much!!! 😎
Knowledgeable channel
1. You will be informed iff you read newspaper everyday.
2. It rains iff it is a weekend day.
3. The trains run late iff I take it.
4. You can get an A in this course iff you learn how to solve Discrete Mathematics problems.
1. Everyday you read the newspaper if and only if you will be informed and conversely.
2. It rains on a weekned day if and only if a weekend.
3. The train runs late if and only if I take it those days.
4. For this one, I believe the statement is already written in the form "p if and only if q" since " it is necessary and sufficient " means the same just different working.
For 4, yes but we have to change the representation tho
We have to change it in the form of p if and only if q so answer of the 4th one includes if and only if q in place of it is necessary and sufficient...
amazing channel I completed the whole topic of logic operator lectures, in the last 3 hours! such good explanation and examples!
1. You will be informed iff you read newspaper everyday.
2. It rains iff it is a weekend day.
3. The trains run late iff I take it.
4. You can get an A in this course iff you learn how to solve DMS problems.
sir Homeworkk problem solution upload hai k nhe ?
i have faced problem in this Homework problem.
1.You read newspaper everyday if and only if you will be informed
2.it is a weekend If and only if it rains
3. i take train if and only if it run late on exactly those days.
4.you get an A in this course if and only if you learn how to solve discrete mathematics
I guess your answers are correct
Thank you so much bro, your teaching is great
really very useful for my course. can you upload some more related topics with computer science course . it will useful for my future
I wish p and q were color coded, it's so hard for me to keep track of which is which
Thank u
You are the best I now understand, thank you so much 💃💃
Thanks you very much
You read newspaper everyday If and only if you will be informed
It rains if and only if it’s a weekend day
Q when p
I take trains on exactly those days if and only if it runs late
you will get A in this course if and only if you learn how to solve discrete mathematics
1. You will be informed if and only if you read newspaper everyday.
2. It rains if and only if it is a weekend day.
3. The train runs late if and only if it is exactly on those days when I take it.
4. You will get an A in this course if and only if you learn how to solve discrete mathematics problems.
1. You read newspaper everyday if and only if you are being informed.
2. It rains if and only if it is a weekend.
3. The train runs late if and only if I take it.
4. You will get an A in this course if and only if you learn how to solve discrete mathematics problems.
3 is incorrect
@@10_satyasibadasthen what is the right answer??
P and q must change in 1 and 3.
@@10_satyasibadasbut p iff q is equivalent to q iff p. So the truth value is same in both ways.
Correct me if I'm wrong.
@@jayxcoder the truth table of contrapositive of p->q is equal to truth table of p->q . According to you,you can write there contrapositive of p->q. But it is wrong. You should try to indentify the p and q first .Then you fix the problem.
Homework Problem
1) You will be informed if and only if you read newspaper daily
2) It rains if and only if it is a weekend day
3) The trains run late if and only if I take it
4) You can get an A in this course if and only if you learn how to solve discrete mathematics problems.
sir your lecture is very nice and easy ...
1)you will be informed if and only if you read newspaper everyday.(if and only if you read news paper you will be informed).
2)it rains if and only if it ais a weekend.
3)the train runs late if and only if I take it.
4)You get an A in this course if and only if you learn how to solve discrete mathematics problems.
Gracias
1. you read newspaper everyday if and only if you are informed.
2. it rains if and only if it is a weekend day.
3. the train runs late if and only if i take it.
4. you can get A in course if and only if you learn how to solve discrete maths problems.
1. You will get informed iff you read newspaper
2. It rains iff it is weekend
3. The train runs late iff when I take it
4. You can get an A iff you learn to solve mathematical problems
thanks.
1. Everyday you read the newspaper iff you will be informed.
2. It is a weekend day iff it rains.
3.The train runs late iff I take it.
4.You get an A in this course iff you learn how to solve DMS Problems
Some people have written q statement first in their answer and I think it should be p statement first....like in your answer....
Am I correct? Anyone tell me
we can simply say that it is necessary for both propositions p and q to be same. They're necessary and sufficient for each other, else the compound proposition will be false!
Please do correct me if im wrong,Thankyou!
1.Not bi conditional
2.Bi conditional
3.Bi conditional
4.Bi conditional
No it's not. Because it also says conversely ! That means reverse is also true. And if you see the problem is not to find which are bi conditional prepositions but it's to convert them into bi conditional .
hi im sorry i'm not a good listener. can you open the closed caption on your videos so i can read it. thank you
Can anyone please answer this question for me? I'm really confused!
Q. For an implication "p implies q", if "q" becomes hypothesis and "p" becomes conclusion, then it is ____ of
the given implication "p implies q".
Answer should be "Converse" because P->Q [Implication which is given] then it is said that q is hypothesis and p is conclusion. So, it becomes Q->P. Right ?
So, Q->P is converse of of Implication P->Q. Isn't that so ?
H/W solution:
1. You will be informed and conversely if and only if you read the newspaper every day.
2. It is a weekend day if and only if it rains.
3. The train runs late if and only if I take it.
4. You will get an A in this course if and only if you learn to solve discrete mathematics problems.
good
1. You will be informed iff you read newspaper everyday.
2. It rains iff it is a weekend day and it is a weekend day iff it rains.
3. The trains run late on exactly those days iff when I take it.
4. For you to get A in this course iff you learn how to solve discrete mathematics problems.
I take trains on exactly those days if and only if it runs late
q when p,,,right so its p if and only if q
What is the difference between bi implication and entailment?
entailment ? Is it same as Implication ?
I think the first one will be, you read newspaper everyday if and only if you will be informed.
would you please answer one of the questions for me am a bit confuse
Can we consider biconditional operator as a XNOR gate?I mean the turth table are the same.
Ur right
Sir ... please 🙏 write the correct answer of homework problem . It is very difficult to verify the correct answer.
Answers ->
1) You will be informed if and only if you read newspaper everyday.
2) It is a weekend if and only if it rain.
3) The train runs late if and only if when I take it.
4) I will get an A in this course if and only if I learn how to solve discrete mathematics problems.
I have tried by myself please correct me if and only if I am incorrect.😂😂
Can anybody explain how p only if q means if p then q???
because it sounds like p happen only if q happen that means we are applying condition q on p.
so it means if q then p!!!
i need how assignment on applications of propositional logic
Biconditional is exnor gate
🔥🔥🔥
p : Grizzly bears have been seen in the area.
q : Hiking is safe on the trail.
r : Berries are ripe along the trail
For hiking on the trail to be safe, it is necessary but not
sufficient that berries not be ripe along the trail and
for grizzly bears not to have been seen in the area.
can someone explain this.
1. You will be informed if and only if you read newspaper everyday.
2. It rains if and only if it's a Weekend.
3. The train runs late if and only if I take it.
4. You get A in this Course if and only if you learn how to solve Discrete mathematics.
Wrong.
1- If you read newspaper everyday then you will be informed and conversely.
2- It rains iff it is a weekend day. (Using 2nd reference)
3- yours is right or you can use iff.
4- learning how to solve discrete mathematics problems is necessary and sufficient for you to get an A in this course and vice verse. (Using 4th reference)
biconditional is simply ex-nor
1. You read newspaper everyday iff you will be informed and conversely.
2. It rains iff it is a weekend day.
3. The train run late iff I take it.
4. To get A in the course iff you learn how to solve discrete mathematics problems.
All are bicondional statement
Goated
pls next time use subtitle for your video
1 true
2 false
3 false
4 true
I88888888⁸
Thank you for your support every student easily understood. Your way of teaching is so good, even 7th class or 8'th class students also easily understandably you designed this course.