Final answer:
The transition diagram for the Mealy implementation of the 4-bit 2's complement negator is designed by considering the states and inputs. State encoding can be implemented using 4 D flip-flops, and SoP expressions can be derived for the next state and output logic.
Step-by-step explanation:
Transition Diagram
The transition diagram for the Mealy implementation of the 4-bit 2's complement negator can be designed by considering the states and inputs. Since there are 4 bits, we can have a total of 16 different states. Each state represents a particular combination of bits. The inputs x0, x1, x2, and x3 represent the values in each cycle. The outputs y0, y1, y2, and y3 represent the negated values of x0, x1, x2, and x3 respectively.
State Encoding and SoP Expressions
To implement the negation, we can use a combinational logic circuit with 4 inputs and outputs. The state encoding depends on the number of bits required to represent the states. In this case, we need 4 D flip-flops to store the current state, so we will use a 4-bit binary encoding. The next state and output logic can be derived using sum-of-products (SoP) expressions based on the desired behavior and inputs.