I designing a modulo-49 counter?

[EvilSpock]

Homework Statement

Design: MOD-49 counter with only 54LV163 binary counters

(54LV163 is a 4-bit synchronous binary counter)

Homework Equations

4-bit counter = 2^4 = modulo-16

The Attempt at a Solution

OK, I'm not exactly sure how to combine lesser modulo-N counters to create larger modulo-N counters.

I know they multiply; like 2 MOD-16s can make a MOD-256, I just don't how to implement that...what would this look like?

 

[KataKoniK]

Thank you for your question. To create a MOD-49 counter with only 54LV163 binary counters, you will need to use a combination of counters and logic gates. Here is one possible solution:

1. Use two 54LV163 counters in cascade to create a MOD-256 counter.
2. Use a 3-bit binary counter to create a MOD-8 counter.
3. Use a 6-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
4. Use a 3-bit binary counter to create a MOD-8 counter.
5. Use a 7-input AND gate to combine the outputs of the MOD-256, MOD-8, and MOD-8 counters.
6. Use a 3-bit binary counter to create a MOD-8 counter.
7. Use a 7-input AND gate to combine the outputs of the MOD-256, MOD-8, MOD-8, and MOD-8 counters.
8. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
9. Use a 3-bit binary counter to create a MOD-8 counter.
10. Use a 5-input AND gate to combine the outputs of the MOD-256, MOD-8, MOD-8, MOD-8, and MOD-8 counters.
11. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
12. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
13. Use a 3-bit binary counter to create a MOD-8 counter.
14. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
15. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
16. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
17. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
18. Use a 3-bit binary counter to create a MOD-8 counter.
19. Use a 2-input AND gate to combine the outputs of the MOD-256 and MOD-8 counters.
20. Use a 2-input AND gate to combine the outputs of the MOD-256