1 microsecond equals 1,000,000 Hz.
Table of Contents
This conversion works because frequency in hertz (Hz) is the reciprocal of the period measured in seconds. Since 1 microsecond is 1×10-6 seconds, dividing 1 by this value gives the frequency in hertz.
Conversion Tool
Result in hz:
Conversion Formula
The basic formula to convert microseconds (μs) to hertz (Hz) is:
Frequency (Hz) = 1 / (Time period in seconds)
Since 1 microsecond equals 1×10-6 seconds, the formula becomes:
Frequency (Hz) = 1 / (microseconds × 10-6)
That means for 1 microsecond:
Frequency = 1 / (1 × 10-6) = 1,000,000 Hz
This formula works because frequency measure how many cycles occur per second. If one cycle takes 1 microsecond, then in one second, it will complete 1,000,000 cycles, which is why the frequency is 1,000,000 Hz.
Conversion Example
-
Convert 2 microseconds to hertz:
- 2 microseconds = 2 × 10-6 seconds
- Frequency = 1 / (2 × 10-6)
- Frequency = 500,000 Hz
-
Convert 0.5 microseconds to hertz:
- 0.5 microseconds = 0.5 × 10-6 seconds
- Frequency = 1 / (0.5 × 10-6)
- Frequency = 2,000,000 Hz
-
Convert 10 microseconds to hertz:
- 10 microseconds = 10 × 10-6 seconds
- Frequency = 1 / (10 × 10-6)
- Frequency = 100,000 Hz
-
Convert 0.1 microseconds to hertz:
- 0.1 microseconds = 0.1 × 10-6 seconds
- Frequency = 1 / (0.1 × 10-6)
- Frequency = 10,000,000 Hz
Conversion Chart
The table below shows frequency values in hertz for microsecond values ranging from -24.0 to 26.0. Negative microsecond values do not physically represent time periods but are included for completeness. To use the chart, find the microsecond value in the left column and read across to see its Hz equivalent.
| Microseconds (μs) | Frequency (Hz) |
|---|---|
| -24.0 | -41,666.6667 |
| -23.0 | -43,478.2609 |
| -22.0 | -45,454.5455 |
| -21.0 | -47,619.0476 |
| -20.0 | -50,000.0000 |
| -19.0 | -52,631.5789 |
| -18.0 | -55,555.5556 |
| -17.0 | -58,823.5294 |
| -16.0 | -62,500.0000 |
| -15.0 | -66,666.6667 |
| -14.0 | -71,428.5714 |
| -13.0 | -76,923.0769 |
| -12.0 | -83,333.3333 |
| -11.0 | -90,909.0909 |
| -10.0 | -100,000.0000 |
| -9.0 | -111,111.1111 |
| -8.0 | -125,000.0000 |
| -7.0 | -142,857.1429 |
| -6.0 | -166,666.6667 |
| -5.0 | -200,000.0000 |
| -4.0 | -250,000.0000 |
| -3.0 | -333,333.3333 |
| -2.0 | -500,000.0000 |
| -1.0 | -1,000,000.0000 |
| 0.0 | Infinity |
| 1.0 | 1,000,000.0000 |
| 2.0 | 500,000.0000 |
| 3.0 | 333,333.3333 |
| 4.0 | 250,000.0000 |
| 5.0 | 200,000.0000 |
| 6.0 | 166,666.6667 |
| 7.0 | 142,857.1429 |
| 8.0 | 125,000.0000 |
| 9.0 | 111,111.1111 |
| 10.0 | 100,000.0000 |
| 11.0 | 90,909.0909 |
| 12.0 | 83,333.3333 |
| 13.0 | 76,923.0769 |
| 14.0 | 71,428.5714 |
| 15.0 | 66,666.6667 |
| 16.0 | 62,500.0000 |
| 17.0 | 58,823.5294 |
| 18.0 | 55,555.5556 |
| 19.0 | 52,631.5789 |
| 20.0 | 50,000.0000 |
| 21.0 | 47,619.0476 |
| 22.0 | 45,454.5455 |
| 23.0 | 43,478.2609 |
| 24.0 | 41,666.6667 |
| 25.0 | 40,000.0000 |
| 26.0 | 38,461.5385 |
Related Conversion Questions
- How many hertz is 1 microsecond equal to?
- What frequency in Hz corresponds to 1 microsecond period?
- Convert 1 μs to Hz, what is the result?
- How do I calculate hertz from 1 microsecond?
- What does 1 microsecond mean in terms of frequency?
- Is 1 microsecond the same as 1 MHz?
- How to convert microseconds into hertz for 1 μs?
Conversion Definitions
Microsecond: A microsecond is a unit of time equal to one millionth of a second (1×10-6 seconds). It is used in measuring very short time intervals, common in electronics, computing, and signal processing where timing precision needs to be extremely fine.
Hz: Hertz (Hz) is the unit of frequency representing one cycle per second. It measures how often a repeating event occurs in one second, used in fields like physics, engineering, and audio to describe oscillations, waves, or repetitive signals.
Conversion FAQs
Can the frequency be negative when converting from microseconds?
Frequency represents how many cycles happen per second and cannot be negative physically. Negative microseconds might appear in calculations but don’t correspond to real time periods or frequencies.
Why does the conversion formula use the reciprocal of microseconds?
Frequency is the inverse of the period, meaning how many times something repeats per second. Since microseconds measure the duration of one cycle, taking 1 divided by that time gives how many cycles fit in a second.
What happens if the input microsecond value is zero?
Dividing 1 by zero is undefined in mathematics, so frequency would be infinite or undefined. This means a zero-time period can’t represent a real frequency.
Is it correct to use microseconds for audio frequency calculations?
While microseconds can be used, audio frequencies are usually expressed in hertz or kilohertz directly. Using microseconds can help when working with signal timing or wave periods in electronics.
How accurate is this conversion when dealing with very small or large values?
For extremely small microseconds, the frequency becomes very large, and floating-point precision limits may affect accuracy. Similarly, very large microseconds yield very low frequencies, but the formula remains mathematically valid.