Frequency to Period Converter

Convert frequency to period with T = 1 / f after converting the frequency to hertz. For example, 1 kHz is 1,000 Hz, so the period is 1 / 1,000 seconds, or 1 ms. The calculator performs the base-unit conversion before displaying the selected output unit.

Convert period to frequency with f = 1 / T after converting the period to seconds. For example, 20 µs is 0.00002 s, so the frequency is 1 / 0.00002, or 50,000 Hz. The result can then be displayed as Hz, kHz, MHz, GHz, or THz.

The period of 1 kHz is 1 ms. A frequency of 1 kHz means 1,000 cycles per second, so each cycle takes 1 / 1,000 seconds. This value is common in timer, PWM, control-loop, and audio-related engineering calculations.

The period of 1 MHz is 1 µs. A 1 MHz signal completes 1,000,000 cycles per second, so one cycle takes 0.000001 seconds. This relationship is often used when reviewing digital clocks, microcontroller timing, counters, and sampling systems.

The period of 100 MHz is 10 ns. Convert 100 MHz to 100,000,000 Hz, then calculate T = 1 / 100,000,000. This is useful for digital timing analysis, FPGA clocks, high-speed logic, and oscilloscope timebase checks.

Zero frequency would represent no repeating cycle, so the period is not a finite number. Similarly, a zero-second period would require infinite frequency. This converter is limited to finite positive frequency and period values that make sense for engineering calculations.

Clock speed is a frequency, but it may not directly equal instruction rate, data rate, PWM update rate, or signal bandwidth. Many systems divide, multiply, gate, or encode clock signals, so always check the specific timing relationship used by the device or protocol.

Frequency f is measured in hertz and describes cycles per second. Angular frequency ω is measured in radians per second and is related by ω = 2πf. This converter focuses on frequency and period, not full angular frequency conversion.