Q$14.$ Design a Mealy Finite State Machine $($FSM$)$ that receives a bit string of $1\text{'}$s and $0\text{'}$s at the

input and outputs $1$ whenever it detects a sequence of $101$; otherwise outputs $0.$ Draw the state

transition diagram of your FSM$.$ Write the state transition and output table for the FSM using

binary state encodings.