Compiler-Design

Given below are the transition diagrams for two finite state machine M₁ and M₂ recognizing languages L₁ and L₂ respectively.
(a) Display the transition diagram for a machine that recognizes L₁.L₂, obtained from transition diagrams for M₁ and M₂ by adding only ε transitions and no new states.
(b) Modify the transition diagram obtained in part(a) obtain a transition diagram for a machine that recognizes (L₁.L₂)∗ by adding only ε transitions and no new states. (Final states are enclosed in double circles).