Final answer:
The output frequency of the cascaded mod 12 and mod 10 counters with an input clock frequency of 60 MHz is 500 kHz.
Step-by-step explanation:
A mod 12 and a mod 10 counter are cascaded, with an input clock frequency of 60 MHz. To calculate the output frequency, we need to consider the modulus values and the input clock frequency. The mod 12 counter has 12 possible counting states, while the mod 10 counter has 10 possible counting states. When cascaded, each counting state of the mod 10 counter will take 12 counting states of the mod 12 counter to complete a full count. Therefore, the output frequency will be the input clock frequency divided by the product of the modulus values of both counters:
Output Frequency = Input Clock Frequency / (Modulus of Mod 12 Counter * Modulus of Mod 10 Counter)
Substituting the given values, we have:
Output Frequency = 60 MHz / (12 * 10) = 500 kHz