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Frequency & accuracy

PPM to Hz Calculator

Convert a relative tolerance in ppm into absolute frequency limits, or recover ppm from a measured minimum or maximum frequency.

Conversion modeppm ⇄ Hz

Frequency window

The three curves represent the minimum, nominal and maximum frequencies. Their phase separation is exaggerated to remain visible.

visual offset exaggerated
Minimum99.99 MHz
Nominal100 MHz
Maximum100.01 MHz
t = 0t
01

Input parameters

Relative variation0.01 %

Calculated results

Convert PPM to Hz

PPM → Hz
Variation ±Δf±10,000 Hz0.01 %
Minimum frequency99,990,000 Hz99.99 MHz
Maximum frequency100,010,000 Hz100.01 MHz
Maximum − minimum period2.000000e-12 s2.00000002 ps · Exact difference between 1/fmin and 1/fmax

What the calculator does

The nominal frequency sits at the centre of a symmetric window. In PPM → Hz mode, the calculator turns relative tolerance into an absolute offset. In Hz → PPM mode, it measures the offset between the entered boundary and the nominal frequency.

Why the period changes

Period is T = 1/f, so the minimum frequency produces the maximum period. The calculator uses the two exact reciprocals, which remains accurate even for a wide tolerance.

Relationships used

Δf=f⋅ppm⋅10−6\Delta f=f\cdot \mathrm{ppm}\cdot 10^{-6}
fmin,max=f∓Δff_{min,max}=f\mp\Delta f
ΔT=1fmin−1fmax\Delta T=\frac{1}{f_{min}}-\frac{1}{f_{max}}
Read the frequency-tolerance guide