Consider the fiNite-State Automaton Given by the Following Transition Diagram $$\begin{array} { l l l l } 000101 & 0100010 & 000100 & 110001\end{array}$$

question 4

Essay

Consider the finite-state automaton given by the following transition diagram:
(a) To what state does the automaton go if the string 10010010 is input to it? Is this string accepted by the automaton?
(b) Indicate which of the following strings are accepted by the automaton: $$\begin{array} { l l l l } 000101 & 0100010 & 000100 & 110001\end{array}$$
(c) Describe the language accepted by the automaton.
(d) Find a regular expression that defines the same language.

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Definitions:

Term to Maturity

The duration of time until the final repayment date of a loan, bond, or other financial instrument.

Coupon Rate

The coupon rate is the interest rate that the issuer of a bond or other fixed-income security promises to pay to the holder annually, expressed as a percentage of the par value.

Interest-Rate Risk

Interest-Rate Risk refers to the risk of investment value changing due to fluctuations in the absolute level of interest rates, which can negatively affect fixed-income securities.

Price Risk

The risk that the price of an asset will change negatively, impacting the investment's value and potentially leading to financial loss.