Consider the fiNite-State Automaton Given by the Following Next-State Table $$\text { abba babb ba bbababa }$$

question 13

Essay

Consider the finite-state automaton given by the following next-state table:
(a) Draw the transition diagram for this automaton.
(b) Indicate which of the following strings are accepted by the automaton: $$\text { abba babb ba bbababa }$$
(c) Describe the language accepted by the automaton.
(d) Find a regular expression that defines the same language.

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Definitions:

Payroll Tax

Charges levied on both employers and employees, typically based on a proportion of the wages that businesses distribute to their workers.

Wage Base

The maximum amount of earnings that is subjected to certain taxes, such as Social Security taxes, within a given time period.

Excise Tax

A tax charged on specific goods and services, such as alcohol and tobacco, usually to discourage their use or generate revenue.

Direct Tax

A tax levied directly on an individual or an organization's income or wealth, such as income tax or property tax.