Finding the Right Factors: Divisors & Multipliers for 8-210 MHz

[CoandaEffect]

I don't know if this is getting posted in the right area, so please let me know otherwise.

We have some hardware that takes a 50MHz clock signal, multiplies it by up to 32, and then divides it by up to 32, with the option to divide the final output by 4 again.
The output must be between 8 and 210 MHz.

say the user wants 33.33 MHz. We multiply by two and divide by three.
But what if they want 32.768? Without my lookup table or a good formula, I'd have a hard time picking the right factors.

Does that remind anyone of anything you've come across in classes or on your own?

 

[Valkarie]

Any help would be appreciated.The best approach to this kind of problem is to use a Synthesizer IC (Integrated Circuit). A Synthesizer IC takes an input reference frequency and multiplies or divides it by a set of programmable coefficients to generate a desired output frequency. This type of IC is commonly used in radio frequency applications, such as cellular base stations, where precise frequency generation is required. Another approach you could take is to use a Phase-Locked Loop (PLL). A PLL uses a voltage-controlled oscillator (VCO) to generate a signal that tracks the frequency of an input reference signal. The VCO can then be used to generate output frequencies that are an integer multiple of the reference frequency. In either case, you will need to determine the appropriate coefficients or frequency multiplier/divider ratios to generate the desired output frequency. This can be done either through trial and error or by using a lookup table or formula.