Introduction:

Designing an electronic Roulette game using a DE2 board, a digital circuit board used for learning digital logic design.

Roulette Game:

Simple game played in Casinos worldwide. The player makes a number of bets, and a large wheel is spun, resulting in one winning number. This project focuses on european version of the game, which has 37 possible outcomes, with no 00 on the wheel. In this project we are only considering three types of bet.

Bet 1 (Straight up bet):

This involves the player betting on a single number from 0 to 36. The payoff from this type of bet is 35:1, meaning that if the player bets $10 in a straight-up bet and wins, the player gets $350 back plus the original $10

Bet 2 (Colour Bet):

This allows the player to bet on whether a red or black number will come up. The payoff from this type of bet is 1:1, meaning that if the player bets $10 and correctly predicts the color of the winning number, he or she will receive a payout of $10 plus the original $10 bet.

Bet 3 (Dozen Bet):

This allows the player to bet that the winning number will be in one of the following ranges: [1,12], [13,24], or [25,36]. If the player is right, the payoff for this kind of bet is 2:1, meaning that if the player bets $10 and predicts the correct dozen, he or she will receive a payout of $20 plus the original $10 bet.

Rules for betting:

1. Only the three previously-mentioned types of bets will be considered, and the user will make exactly three bets: bet #1 will always be a straight-up bet, bet #2 will always be a color bet, and bet #3 will always be a dozen bet.
2. The maximum amount that can be bet for each of the three bets is $7, and the minimum bet is $0.
3. All inputs of the circuit will be in binary, and all outputs will be in base-16 (convert to base 10 if possible).
4. The player starts out with $32.

FPGA (DE2) functionality:

The user places the following quantities on the switches:

Bet 0:

   Amount to bet ($0-$7): Switches 2-0
   Number to bet on (0-36): Switches 8-3

Bet 1:

   Amount to bet ($0-$7): Switches 9-11
   Colour to bet on (0-1): Switch 12 [red=1, black=0]

Bet 2:

   Amount to bet ($0-$7): Switches 15-13
   Dozen to bet on (0,1 or 2): Switches 17-16

Example:

To make the betting process more clear, consider the following example. Suppose the player starts with $32 dollars (in base-16, that is 0x20). Before the spin, suppose the player makes the following three bets:

Bet 1: Straight-up Bet. The player bets $3 that the number 10 will come up.

Bet 2: Colour Bet. The player bets $4 that the winning number will be black.

Bet 3: Dozen Bet. The player bets $2 that the winning number will be in the range [25,36].

Then the wheel is spun. Suppose the winning number (the number that comes up when the wheel is spun) is 10. In that case, the following is true:

Bet 1: The player wins this bet (lucky!) since he or she bet on 10, and a 10 came up. Since the original bet was $3, and a straight-up bet pays off 35:1 as described on the first page of this handout, the player wins 35*$3 = $105 from bet 1.

Bet 2: The player is extra lucky, since the winning number 10 is black (see the discussion on the previous page) and he or she had bet $4 on black coming up. Since the payout of a colour bet is 1:1, the player wins $4 from bet 2

Bet 3: In this case, the bet did not win, since the winning number 10 is not in the range [25, 36]. Therefore the player loses his or her $2 bet.

After all the bets are counted, the player gets $105 from bet 1, gets $4 from bet 2, and looses $2 from bet 3.

Since the initial balance was $32, the new balance is 32+105+4-2 = $139.