Explanation will be appreciated along with the solution, thanks! Draw the state

Question

Explanation will be appreciated along with the solution, thanks!

Draw the state diagram and state table for a state machine that has a two-bit input inll:0] and an output out. Consider the initial state to be one where out =. In this state machine, all output changes should occur in synch with the clock. The output should only change in response to the following input sequences. Each two-bit value represents an input condition that- along with a clock trigger - causes a state change. As indicated above, the output should only change on the clock trigger following the second two-bit value in the sequence. . The clocked input sequence insl 101-10, 00 causes the output to become 0. . The clocked input sequence inal1:01-01,00 causes the output to become 1. The clocked input sequence insl1:0] 11, 00 causes the output to toggle (complement) its value. Assume that your implementation uses an asynchronous active-high INIT to send the state machine to its initial state from any state when the INIT is asserted Demonstrate using the partitioning method that your state table contains the minimal number of states, or use it to derive the minimal state table if your original model is not aready minimal.

Explanation / Answer

In automata theory and sequential logic, a state transition table is a table showing what state (or states in the case of a nondeterministic finite automaton) a finite semiautomaton or finite state machine will move to, based on the current state and other inputs. A state table is essentially a truth table in which some of the inputs are the current state, and the outputs include the next state, along with other outputs.

A state table is one of many ways to specify a state machine, other ways being a state diagram, and a characteristic equation.

Also called characteristic tables, single-dimension state tables are much more like truth tables than the two-dimensional versions. Inputs are usually placed on the left, and separated from the outputs, which are on the right. The outputs will represent the next state of the machine. A simple example of a state machine with two states and two combinational inputs follows:

S1 and S2 would most likely represent the single bits 0 and 1, since a single bit can only have two states.

A B Current State Next State Output 0 0 S1 S2 1 0 0 S2 S1 0 0 1 S1 S2 0 0 1 S2 S2 1 1 0 S1 S1 1 1 0 S2 S1 1 1 1 S1 S1 1 1 1 S2 S2 0

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