Frequency Converter

One hertz is one cycle per second (1 Hz = 1 s⁻¹). The converter turns your value into hertz and then into the target prefix:

result = value × Hz-per-unit(from) ÷ Hz-per-unit(to)

• 1 kHz = 10³ Hz
• 1 MHz = 10⁶ Hz
• 1 GHz = 10⁹ Hz

These prefixes are decimal, unlike the binary KiB/MiB sometimes used for memory size. A "2.4 GHz" band therefore means 2,400,000,000 cycles per second.

Period. The time for one cycle is the reciprocal: T = 1 ÷ f. At 50 Hz mains, T = 0.02 s (20 ms); at 1 GHz, T = 1 ns. Engineers use this to set timer intervals, sample windows and clock budgets.

Wavelength. For electromagnetic waves in vacuum, λ = c ÷ f, where c = 299,792,458 m/s. FM at 100.1 MHz has λ ≈ 2.995 m, which is why a quarter-wave FM antenna is roughly 75 cm. Wi-Fi at 2.4 GHz has λ ≈ 12.5 cm; 5 GHz Wi-Fi about 6 cm. Sound uses its own speed (about 343 m/s in air at 20 °C), so a 440 Hz A note has a wavelength near 0.78 m.

Where common frequencies sit:

• Mains electricity: 50 Hz (Pakistan, Europe, most of Asia) or 60 Hz (North America)
• Human hearing: roughly 20 Hz to 20 kHz, upper limit falling with age
• CD audio sample rate: 44.1 kHz; video/pro audio: 48 kHz
• AM radio: 530–1700 kHz; FM radio: 87.5–108 MHz
• Wi-Fi: 2.4, 5 and 6 GHz bands; modern CPUs: 3–5 GHz boost clocks

Sample rate is not the highest frequency. By the Nyquist–Shannon theorem, a 44.1 kHz recording can represent tones up to 22.05 kHz. Converting units does not change that relationship, but it is a frequent point of confusion.

Clock speed and cycle time. A microcontroller running at 16 MHz executes one clock tick every 62.5 ns (1 ÷ 16,000,000 s). If an instruction takes 4 cycles, it needs 250 ns. Converting the clock to Hz first keeps such timing budgets free of prefix slips; mixing a MHz value with a nanosecond period is a frequent off-by-1000 error in embedded code.

Angular frequency. Physics formulas sometimes use ω in rad/s. ω = 2πf, so 50 Hz equals about 314.16 rad/s. The tool converts ordinary frequency only; multiply by 2π yourself if you need ω.

Wi-Fi band in MHz

Inputs: 2.4, From GHz, To MHz

Enter 2.4 and pick GHz → MHz. The tool computes 2.4 × 10⁹ Hz ÷ 10⁶ Hz per MHz.

Result: 2400

Channel 1 of 2.4 GHz Wi-Fi is centred at 2412 MHz.

CD sample rate in kHz

Inputs: 44100, From Hz, To kHz

Enter 44100 with Hz → kHz. The tool multiplies by 1 and divides by 1000, so 44,100 ÷ 1000.

Result: 44.1

The Nyquist limit is half of this, 22.05 kHz.

FM station in hertz

Inputs: 100.1, From MHz, To Hz

Enter 100.1 and choose MHz → Hz. The tool multiplies 100.1 by 10⁶ to express the station in plain hertz.

Result: 100100000

Wavelength λ = 299,792,458 ÷ 100,100,000 ≈ 2.995 m.

How many Hz in 1 GHz?

One billion: 1 GHz = 10⁹ Hz.

How do I turn frequency into period?

Divide 1 by the frequency in hertz. For 60 Hz, T = 1 ÷ 60 ≈ 0.01667 s.

How do I convert RPM to Hz?

Divide revolutions per minute by 60. A motor at 3000 RPM turns at 50 Hz.

What wavelength does 5 GHz Wi-Fi have?

λ = 299,792,458 ÷ 5,000,000,000 ≈ 0.06 m, about 6 cm.

Why are mains frequencies 50 or 60 Hz?

Historical engineering choices in early power grids; Europe settled on 50 Hz and North America on 60 Hz. Pakistan uses 50 Hz.

Why does my 5 GHz router list channel 36 as 5180 MHz?

Wi-Fi channels are numbered by centre frequency: in the 5 GHz band, channel n sits at 5000 + 5 × n MHz. Channel 36 is therefore 5180 MHz, or 5.18 GHz when converted.

Does the tool convert angular frequency (rad/s)?

No. Use ω = 2π × f with f in Hz after converting.