How to convert frequency? MHz to nanoseconds. What is the conversion chart for MHz, kHz, nanoseconds, microseconds, Hz, ms, milliseconds, rms, and app?
The Correct Answer and Explanation is:
Conversion from Frequency (MHz) to Time (nanoseconds)
To convert frequency (in MHz) to time (in nanoseconds), use the formula:Period (ns)=1,000Frequency (MHz)\text{Period (ns)} = \frac{1,000}{\text{Frequency (MHz)}}Period (ns)=Frequency (MHz)1,000
This works because:
- 1 MHz = 1,000,000 Hz
- 1 Hz = 1 cycle/second
- 1 second = 1,000,000,000 nanoseconds (ns)
So:Period (s)=1Frequency (Hz)⇒Period (ns)=1,000,000,000Frequency (Hz)\text{Period (s)} = \frac{1}{\text{Frequency (Hz)}} \Rightarrow \text{Period (ns)} = \frac{1,000,000,000}{\text{Frequency (Hz)}}Period (s)=Frequency (Hz)1⇒Period (ns)=Frequency (Hz)1,000,000,000
Substituting MHz:Period (ns)=1,000,000,000MHz×1,000,000=1,000MHz\text{Period (ns)} = \frac{1,000,000,000}{\text{MHz} \times 1,000,000} = \frac{1,000}{\text{MHz}}Period (ns)=MHz×1,000,0001,000,000,000=MHz1,000
Frequency and Time Conversion Chart
| Frequency/Time | Equivalent |
|---|---|
| 1 MHz | 1,000,000 Hz = 1 µs = 1000 ns |
| 1 kHz | 1,000 Hz = 1 ms = 1,000,000 ns |
| 1 Hz | 1 cycle/s = 1 s = 1,000 ms |
| 1 ms | 0.001 s = 1,000 µs = 1,000,000 ns |
| 1 µs (microsecond) | 0.000001 s = 1,000 ns |
| 1 ns | 0.000000001 s |
| 1 MHz | 1000 ns (per cycle) |
| 2 MHz | 500 ns |
| 10 MHz | 100 ns |
| 100 MHz | 10 ns |
RMS and APP Clarification
- RMS (Root Mean Square): This is not a time or frequency unit. It represents the effective value of an alternating current (AC) or voltage signal. It measures the equivalent DC value that delivers the same power.
- App (Amplitude or Application): Not a standard unit. “App” can refer to peak amplitude in signal processing, or “application” in software. In electronics, “app” is not used for conversions.
Explanation
Frequency and time are inversely related. Higher frequency implies a shorter period. The unit megahertz (MHz) describes millions of cycles per second, while nanoseconds (ns) measure billionths of a second. Understanding their relationship allows accurate conversions and timing analysis in fields like electronics, signal processing, and computing. The chart above helps convert between various time and frequency domains systematically.
