$1$

$$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.