Convert Hertz to Gigahertz
Hertz to gigahertz is the conversion you want when a frequency runs into the billions — modern CPU clocks, Wi-Fi bands, microwave signals — where a raw hertz count is far too long to read. Hertz just means cycles per second, and one hertz is exactly 0.000000001 gigahertz, so the number shrinks by a factor of a billion when you switch to gigahertz.
Hertz to Gigahertz conversion table
| Hertz (Hz) | Gigahertz (GHz) |
|---|---|
| 1 | 0.000000001 |
| 2 | 0.000000002 |
| 3 | 0.000000003 |
| 5 | 0.000000005 |
| 10 | 0.00000001 |
| 20 | 0.00000002 |
| 50 | 0.00000005 |
| 100 | 0.0000001 |
| 500 | 0.0000005 |
| 1,000 | 0.000001 |
The formula
To convert hertz to gigahertz, multiply the number of hertz by 0.000000001 (the same as dividing by 1,000,000,000):
gigahertz = hertz × 0.000000001
A worked example
Say you have a 2,500,000,000 Hz clock and want it in gigahertz:
2,500,000,000 × 0.000000001 = 2.5 GHz
So 2,500,000,000 hertz is exactly 2.5 gigahertz.
Why the number is exact
Hertz measures how many cycles happen each second, and the metric prefixes step up in clean powers of ten. "Giga" means exactly a billion, so a gigahertz is exactly 1,000,000,000 hertz. That makes one hertz exactly 0.000000001 gigahertz — a shift of the decimal point nine places, with nothing approximated.
When you'll use it
Reading processor and memory clock speeds, checking Wi-Fi and mobile network bands, and turning enormous hertz counts into the tidy gigahertz figures used across computing and wireless.
Frequently asked questions
How many hertz are in a gigahertz?
Exactly 1,000,000,000 hertz. The 'giga' prefix always means a billion, so a gigahertz is a billion cycles per second — an exact number, not a rounded one.
What is 2,500,000,000 Hz in gigahertz?
Exactly 2.5 GHz. You divide by 1,000,000,000 (the same as multiplying by 0.000000001), so 2,500,000,000 hertz becomes 2.5 gigahertz.
Is the hertz to gigahertz conversion exact?
Yes. A gigahertz is exactly 1,000,000,000 hertz by definition, so one hertz is exactly 0.000000001 gigahertz — nothing is rounded away.