Translate the given statement into propositional logic using the propositions provided.

$"$To use the wireless network in the airport you must pay the daily fee unless you are a subscriber to the service."

Express your answer in terms of

$w$ : You can use the wireless network in the airport

$d$ : You pay the daily fee

s: You are a subscriber to the service

Express these system specifications using the given propositions and logical connectives $($including negations$).$

$p$ : The user enters a valid password

$q$ : Access is granted

$r$ : The user has paid the subscription fee

$($a$)$ The user has paid the subscription fee, but does not enter a valid password.

$($b$)$ Access is granted whenever the user has paid the subscription fee and enters a valid password.

$($c$)$ Access is denied if the user has not paid the subscription fee.

$($d$)$ If the user has not entered a valid password but has paid the subscription fee, then access is granted.

Page $4$