Figure 9-46 : The “Figure 9-46 ” contains: Two phones. A Wi-Fi home router. Two network bridges. A Wi-Fi thermostat. Bluetooth door lock. Two smart light bulbs. A web server. Given consideration: A phone with internet access is connected to the manufacturer′s website, through cloud and a Wi-Fi router. The Wi-Fi router is connected to the Wi-Fi thermostat, a phone with Bluetooth and Wi-Fi, and two network bridges. The phone is connected with the Bluetooth door lock. The Bluetooth door lock is also connected through Bluetooth to the Wi-Fi Bridge. The ZigBee to Wi-Fi Bridge is connected with the two smart light bulbs.

Question

[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.

Answer 1

Question

Chapter 9, Problem 17TC

Program Plan Intro

Figure 9-46:

The “Figure 9-46” contains:

Two phones.

A Wi-Fi home router.

Two network bridges.

A Wi-Fi thermostat.

Bluetooth door lock.

Two smart light bulbs.

A web server.

Given consideration:

A phone with internet access is connected to the manufacturer′s website, through cloud and a Wi-Fi router. The Wi-Fi router is connected to the Wi-Fi thermostat, a phone with Bluetooth and Wi-Fi, and two network bridges. The phone is connected with the Bluetooth door lock. The Bluetooth door lock is also connected through Bluetooth to the Wi-Fi Bridge. The ZigBee to Wi-Fi Bridge is connected with the two smart light bulbs.

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.

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