Question

Using at most two modulo 16 counters design system that recognizes the pattern "ab-c" where each symbol is encoded with two bits. For combinational logic use as few as small multiplexers as possible.

Answer 1

The question asks for a design of a state machine to recognize the pattern "ab-c" with two modulo 16 counters and minimal multiplexers. The design would involve a sequence of states dictated by the incoming two-bit patterns, tracked by the counters and directed by multiplexers.

Step-by-step explanation:

The student's question is regarding the design system of a pattern recognizer using two modulo 16 counters and a combination of small multiplexers. The aim is to detect the pattern "ab-c", where each symbol is represented by two bits. In this context, the design would involve creating a state machine that transitions through states based on the input pattern it receives. The two modulo 16 counters would serve as the primary state-keeping devices, ensuring the system can track up to 16 different states. Small multiplexers can be used in the combinatorial logic that decides the next state transitions based on the current state and the input pattern.

While the specific implementation details are not provided, the outline of the solution would require an understanding of state machines, counter circuits, and how multiplexers can be used to guide logic pathways. Additionally, the reference to loops in a circuit implies that one should minimize redundancies in the design for an efficient solution.