Carry out the algorithm presented to get the minimal DFA equivalent to the twelve-state DFA drawn below. This DFA has alphabet {0, 1} and determines whether a string represents a number in binary that is divisible by twelve. The state set is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}. On input 0, the machine goes from state i to state 2i. On input 1, the machine goes from state i to state (2i 1). Give each of the equivalence relations produced by the algorithm and demonstrate that your last one is really the last one. Draw the resulting minimal DFA.

Primary tech skills are skills that are necessary for success in online education

Which software would you use to create a print design? a. illustrator b. audacity c. reaper d. dreamweaver

Use a physical stopwatch to record the length of time it takes to run the program. calculate the difference obtained by calls to the method system.currenttimemillis() just before the start of the algorithm and just after the end of the algorithm. calculate the difference obtained by calls to the method system.currenttimemillis() at the start of the program and at the end of the program so that the elapsed time includes the display of the result. use the value returned by the method system.currenttimemillis() just after the end of the algorithm as the elapsed time.