$1$ Sequential Circuit Design

$1\mathrm{.}1$ Background

There is a game called Screwball. Every time a ball is put in play, either player $1$ scores a point or player

$2$ scores a point. A winner is declared when one player is ahead by $2$ points. Starting with a score of

$0$ : $0$ for P$1$ vs$.$ P$2,$ a game might progress as follows: $0$ : $0,0$ : $1,1$ : $1,1$ : $2,1$ : $3$ : P$2$ wins.

$1\mathrm{.}2$ Problem Description

Your task is to develop a synchronous sequential machine that uses information about which player

scores a point at each game stage to indicate BOTH when a player wins and which player wins. Your

design should include one reset input to initialize your WIN ANNOUNCER $($this may be a synchronous

or asynchronous input as you desire$).$ The outputs from your design should indicate BOTH when a win

has occurred and which player is the winner. You are required to follow the typical procedure

for sequential circuit design. Implement the design on Logisim and verify its functionality.

$1\mathrm{.}3$ Inputs

The circuit is expected to receive two inputs. If the first input is zero, P$1$ wins this round, while one

means that P$2$ wins the round. The second input is the reset; no reset is invoked if the reset is zero,

while one refers to system reset.

$1\mathrm{.}4$ Outputs

The circuit is expected to generate two outputs; the first output declares a winner. The second output

refers to the winning player; zero means that the first player is the winner, while one means that the

second player is the winner.