Controlling the Processor

The FSM below describes a a circuit that can control our simple processor. This controller outputs a sequence of machine code instructions which implement a program to perform a computation.

Label each state of the FSM with a brief description of the machine code instruction being output by that state $($use any notation you want for this purpose, as long as it's clear what operation is being performed$).$

Assume that the input to the processor is slowly changing and represents an unsigned numeric value $x.$ Determin the computation being performed by the sequence of instruction generated by the controller.

After starting the algorithm with a reset, how many clock cycles must pass before the result can be read on the output of the processor?

For how long will the result remain valid?