I need it to count from 0011 (3) to 1001 (9) and then repeats. It needs to have at least a 74193 and possibly use other logic chips. Any help on this? I have no clue where to start.

 

1) Read the data sheet. Consider the PRESET inputs.
2) Get a breadboard and the IC, a few switches, and LEDs. Watch what happens as you feed clock signals into the chip, and what happens with the PRESET inputs.
3) How do you determine when the outputs equal 9? Think binary. Think NAND gate.

--Rich

 

OK, so are the NAND gates there to reset the count?

 

You can use a counter with preset inputs as to load in it 0011 (3) and the count will start from 3. You can use a few switches to do this.
Then you will need a few logic gates to monitor the output of the counter until i counts up to 1010 (10). When the output of the counter is 1010 (10) the logic circuit will load the preset value to the counter and start counting from 3 again.
What is the purpose of this circuit?