DFA diagrams and DFA operation

Question

Explain DFA diagrams and DFA operation in brief ?

Answer 1

DFA diagrams read input one symbol at a time, beginning from start state; follow arrows; accept if end in accept state.

DFA Operation:

Illustration of DFA operation:

input: 0 1 0 1
not accepted

input: 1 0 1
accepted

What language does this DFA recognize?

L={x:x ≡ {0, 1}^*, x₁ = 1}