Boolean Algebra

The negation of the given statement

(p%20%5Cland%20r)%20%5Crightarrow%20(r%20%5Clor%20q)

is:

%5Csim%20%5Cleft%5B%20(p%20%5Cland%20r)%20%5Crightarrow%20(r%20%5Clor%20q)%20%5Cright%5D

Using the logical equivalence

A%20%5Crightarrow%20B%20%5Cequiv%20%5Csim%20A%20%5Clor%20B

, we get:

%5Csim%20%5Cleft%5B%20%5Csim%20(p%20%5Cland%20r)%20%5Clor%20(r%20%5Clor%20q)%20%5Cright%5D

Simplifying further, we get:

(p%20%5Cland%20r)%20%5Cland%20(%5Csim%20r%20%5Cland%20%5Csim%20q)

Thus, the correct answer is

%5Cboxed%7B(d)%7D

Chapter Questions
1 MCQs