ITPEC IP April 2024 Question 7

After the procedure is performed twice, the machine reaches state 4. Begin at state 1 and apply the remainder rule separately on each performance.

First, 1 × 11 = 11, and 11 mod 3 = 2. Remainder 2 means move two states clockwise: 1 → 2 → 3. The current state is now 3. Second, 3 × 11 = 33, and 33 mod 3 = 0. Remainder 0 means move one state clockwise: 3 → 4.

Answer (d)

Why not others:
- (a) 1 would require returning to the starting state
- (b) 2 is only the first clockwise step during the initial two-step transition
- (c) 3 is the state reached after the first performance, before the required second performance

Key rule: Recalculate the remainder from the newly reached state each time the procedure is performed; do not reuse the first result.

AI-generated — may contain errors