This system simulates a dice roll using a display to show the result. The dice has an unusual probability distribution: there’s a 2/8 (25%) chance of rolling a 0, while the remaining 6/8 (75%) probability is evenly distributed among values 1–6 (each 1/8 or 12.5%). A rollover feature can be added (e.g., treating 0 as a re-roll or a special event).

The hardware includes:

1. 
   Display: Shows the rolled number (0–6).
   
2. 
   3-bit decoder: Converts a 3-bit binary input (000 to 111) into the dice output. The mapping could be:
   
   • 
     000: 0 (25%)
     
   • 
     001–110: 1–6 (uniform 12.5% each)
     
   • 
     111: Unused or triggers rollover.
     

Logic can be implemented to handle edge cases (e.g., redirecting "111" to a valid output). This design balances simplicity with customizable probabilities, offering flexibility for game mechanics or educational demonstrations.