This project involves designing a digital dice display system using a 3x3 grid of LEDs (A, B, C, D, E, F, G, H, J) and utilizing only NAND gates to achieve the desired logic. The display corresponds to a 4-bit binary input, W, X, Y, Z, with each combination lighting up specific LEDs to represent different dice patterns. Here is a detailed description of the design:

A B C

D E F

G H J

Binary Input and LED Mapping

1. 0000 (0): No LEDs light up.
2. 0001 (1): LED E lights up.
3. 0010 (2): LEDs A and J light up.
4. 0011 (3): LEDs A, E, and J light up.
5. 0100 (4): LEDs A, C, G, and J light up.
6. 0101 (5): LEDs A, C, E, G, and J light up.
7. 0110 (6): LEDs A, D, G, C, F, and J light up.
8. 0111 (7): LEDs A, C, D, E, F, G, and J light up.
9. 1000 (8): LEDs A, B, C, D, F, G, H, and J light up.
10. 1001 (9): All LEDs A, B, C, D, E, F, G, H, and J light up.
11. 1010 (10): LEDs B, D, E, F, and H light up. (Plus sign)
12. 1011 (11): LEDs D, E, and F light up. (Negative Sign- only the 2nd row)
13. 1100 (12): LED J lights up. (Dot)
14. 1101 (13): LEDs D, E, F, G, H, and J light up. (The last two row)