How does a program control flow diagram represent possible paths?

A program control flow diagram represents possible paths by clearly illustrating the sequence of execution of instructions within a program. This diagram provides a visual map of the various paths that the flow of control may take during the execution of the program.

Control flow diagrams use symbols such as arrows to indicate the flow direction, and shapes like rectangles to denote processes or actions. By plotting these elements, the diagram enables testers and developers to see how different instructions and operations relate to one another, including where decisions (like if/else statements) can lead to different execution paths.

This visualization helps in understanding how a program responds to various inputs or states, makes it easier to troubleshoot logic errors, and assesses the overall program logic. Thus, the representation of sequences of execution within a control flow diagram is fundamental for analyzing and verifying the correctness of program behavior.