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5) Design a Finite State Automaton (FSA) that accepts binary numbers greater than 0, whose decimal equivalents are divisible by 5. For instance, the FSA should accept inputs like '1010' (decimal equivalent: 10), and '101' (decimal equivalent: 5), but it rejects inputs like '1101' (decimal equivalent: 13) and '1001' (decimal equivalent: 9). [4 marks
4) Students are required to create 6-character long passwords to access the library. The letters must be from lowercase letters or digits. Each password must contain at most two lowercase letters and contain no repeated digits. The second letter must be always “1” and the last letter always must be a digit. How many valid passwords are there? Y
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2) Using the pigeonhole principle, prove that if we choose 14 different numbers from the following set {1, 2, 3, 4,…,20}, then definitely there are two numbers such as a and b (among our 14 selected numbers) which their difference is at least 7 (i.e. |a-b| ≥7) [3 marks] 3) Prove the following statement by induction. For all positive integers n
CM2010 Fundamentals of Computer Science: Midterm Coursework 1) . Explain your reasoning: a) Without using the truth table, prove if the following statements are tautologies or not. Show your reasoning. [4 marks] i) 𝒑⋁(𝒑 ⟶ 𝒒)⋁¬𝒒 ii) ((P→q) ∧ ((q∧r)→s)) ∧ (r→(P→s)) b) Without using the truth table, show that the fo
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“Congrats, You Are the New COO — Now Implement a Re-Organization”: Planning for Change at a Nonprofit Introduction As Amy Stowe sat alone in a conference room, she contemplated what she had agreed to moments earlier. She had promised the Executive Leadership Team (ELT) a communication and implementation plan for a company-wide re-organizatio
Cyber and Internet Security (COMP5355) - Analyzing the SSL/TLS certificate verification of real Android apps - Major steps: - Select 15 Android apps using the HT TPs channel to communicate with their server. - Run the apps in real devices/emulators and perform an MITM attack to obtain the traffic. - Use reverse engineering tools to obtain the c
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The Garden group has a reporting date of 31 December 2020 On 30 September 2020, the group disposed of its 80% holding in the ordinary shares of Shed for RM10 million in cash. The disposal of Shed constitutes a discontinued operation The following information relates to Shed: RM'million Goodwill at disposal
The Caddy group acquired 240,000 of August's 800,000 equity shares for RM6 per share on 1 April 2020. August's profit after tax for the year ended 30 September 2020 was RM400,000. On the assumption that August is an associate of Caddy, what would be the carrying amount of the investment in August in the consolidated statement of financial position
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Bintik Putih bought 30% of Arnie on 1 January 2020, when Arnie had a share capital of 100,000 RM1 shares and RM400,000 retained earnings The consideration comprised one Beasant share for every 3 shares bought in Arnie At the date of acquisition, Bintik Putih's shares had a market value of RM4.50 arid Arnie's had a market value of RM2 At 31 December
ACC6063-ADVANCED ACCOUNTING II Which of the following definitions is not included within the definition of control per MFRS 10 Consolidated Financial Statements? A. Having exposure, or rights, to variable returns from its investment with the investee B. Having the ability to use its power over the investee to affect the amount of the [ 4 I 5 You
