Frequency
cycles/stoGHz
Convert cycles per second (cycles/s) to gigahertz (GHz).
Factor1 cycles/s = 1e-9 GHz
Converter
cycles/s
Accepts numbers or expressions, e.g. 150 + 14.7
Result
GHz
Rendered to 6 significant figures.
Formula
Formula
GHz = cycles/s × 1e-9
Multiply any value in cycles per second by 1e-9 to obtain the value in gigahertz.
Worked example
Convert 1e+9 cycles/s to GHz.
- 01Start with 1e+9 cycles/s.
- 02Multiply by the conversion factor: 1e+9 × 1e-9 = 1 GHz.
Result1e+9 cycles/s = 1 GHz
Conversion table
| cycles/s | GHz |
|---|---|
| 1 | 1e-9 |
| 2 | 2e-9 |
| 5 | 5e-9 |
| 10 | 1e-8 |
| 20 | 2e-8 |
| 50 | 5e-8 |
| 100 | 1e-7 |
| 200 | 2e-7 |
| 500 | 5e-7 |
| 1000 | 1e-6 |
Reference values rounded to 5 significant figures for display.
FAQ
What is the conversion factor from cycles/s to GHz?
1 cycles/s equals 1e-9 GHz. To convert, multiply the value in cycles per second by 1e-9.
How do I convert 1 cycles/s to GHz?
1 cycles/s = 1e-9 GHz. For any value, multiply by 1e-9.
How do I convert GHz back to cycles/s?
Divide by the same factor — or equivalently, multiply by 1e+9. So 1 GHz = 1e+9 cycles/s.
When would I need to convert cycle per second to gigahertz?
Frequency conversions between cycles/s and GHz are needed in signal and RF engineering, motor and turbomachinery rotational-speed work, vibration and pulse-rate analysis, and control-loop sample-rate specification. Hz dominates electronics and instrumentation; kHz, MHz and GHz cover audio through microwave; rpm and rps dominate mechanical rotational equipment; cycles per minute, second and hour cover slow industrial cyclic processes. Angular frequency (rad/s) and time-period (Hz ↔ seconds) conversions are NOT included — they require either a 2π factor or a reciprocal relationship.
Is the conversion exact?
The factor shown is precise to at least 7 significant figures. For most process-engineering work this is far better than instrument accuracy. For metrology or trade applications, refer to the relevant national standard (NIST, BIPM, ISO 80000).