What is the clock cycle time for a system that uses a clock with frequency of 150 kHz?

Explanation:

Clock Cycle Time Calculation:

Definition: The clock cycle time is the inverse of the clock frequency and represents the duration of one complete cycle of the clock signal. It is a fundamental parameter in digital systems that determines how quickly operations can be executed.

Given Data:

• Clock frequency = 150 kHz

Formula:

The clock cycle time (T) can be calculated using the formula:

T = 1 / f

Where:

• T is the clock cycle time (in seconds).
• f is the clock frequency (in Hz).

Calculation:

Substitute the given frequency value:

T = 1 / 150,000 Hz

Perform the division:

T = 0.0000066667 seconds

Convert the result to microseconds (1 second = 1,000,000 microseconds):

T = 6.6667 microseconds

Approximating to one decimal place:

T ≈ 6.6 microseconds

Correct Answer: Option 4: 6.6 μs

Additional Information

To further understand the analysis, let’s evaluate the other options:

Option 1: 55 μs

This value is incorrect because it is significantly larger than the calculated clock cycle time of approximately 6.6 μs. A clock frequency of 150 kHz would result in a much shorter cycle time, as demonstrated in the calculation above.

Option 2: 5.5 μs

This value is closer to the correct answer but still incorrect. The exact clock cycle time for a frequency of 150 kHz is approximately 6.6 μs, as calculated earlier. A value of 5.5 μs would correspond to a higher clock frequency than 150 kHz.

Option 3: 202 seconds

This value is entirely incorrect and unrealistic in the context of clock cycle time for digital systems. The clock cycle time is typically measured in microseconds or nanoseconds, not seconds, especially for frequencies in the kilohertz or higher range.

Option 4: 6.6 μs

This value is correct as it matches the calculated clock cycle time for a clock frequency of 150 kHz. The detailed calculation above confirms this value.

Option 5: Not provided

No specific value is listed for option 5, so it cannot be evaluated in this context.

Conclusion:

The clock cycle time is a critical parameter in digital systems as it defines the speed at which operations can be performed. For a clock frequency of 150 kHz, the cycle time is calculated to be approximately 6.6 μs. This calculation demonstrates the inverse relationship between frequency and cycle time—higher frequencies result in shorter cycle times, enabling faster operation of digital systems. The correct answer, Option 4 (6.6 μs), is consistent with the provided data and calculation.