Computer Science
Consider the statements:
If p : You work hard.
q : You will succeed in your life.
Translate each of following symbolic expressions in meaningful sentences:
(a) p ⇒ q
(b) q ⇒ p
(c) (~p) ⇒ (~q)
(d) (~q) ⇒ (~p)
Boolean Algebra
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Answer
(a) If you work hard then you will succeed in your life.
(b) If you will succeed in your life it means that you work hard.
(c) If you don't work hard then you will not succeed in your life.
(d) If you don't succeed in your life it means that you didn't work hard.
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Related Questions
State whether the following expression is a Tautology, Contradiction or the Contingency with help of the truth table.
(X→Z) v ~[(X→Y) ^ (Y→Z)]
The statements are given as:
If p : Today is a holiday.
q : I will go to attend a birthday party.
Express each of the following statement in words:(a) p v ~ q
(b) ~q
(c) (~p) ^ q
(d) ~(p v q)
(e) ~((~p) ^ q)
(f) (~p) . ~q
Construct the truth tables for the following:
(p ⇒ q) ^ (q ⇒ p)
Construct the truth tables for the following:
q ⇒ [(~p) v q]