Noise Level (dB) Addition Calculator

Combine many decibel sources into one total value. See stepwise sums and dominant contributor instantly. Designed for labs, rooms, traffic, and machinery surveys safely.

Calculator

Enter sound pressure levels in decibels (dB). Add at least two values.

Noise Level 1 (dB)
Typical range: 20 to 130 dB.
Noise Level 2 (dB)
Typical range: 20 to 130 dB.
Noise Level 3 (dB)
Typical range: 20 to 130 dB.
Clear
Notes: This tool adds levels using energy, not arithmetic averages. If you have a single reading, no addition is required.

Formula Used

Decibels are logarithmic. To add sound levels, convert each level to a linear power ratio, add those powers, then convert back to decibels.

Linear power for each source: Pi = 10Li/10
Sum of powers: Psum = Σ Pi
Combined level: Ltotal = 10 · log10(Psum)

The result assumes independent, uncorrelated sources measured in the same reference conditions. For coherent signals, phase relationships can change the combined level.

How to Use This Calculator

  1. Enter two or more noise levels in dB.
  2. Use “Add Source” for additional contributors.
  3. Press Calculate to see the combined level.
  4. Review the stepwise table for incremental changes.
  5. Use Download CSV for spreadsheets and reporting.
  6. Use Download PDF to print or save as PDF.

Example Data Table

These examples show why decibel addition is not simple arithmetic.

Case Input Levels (dB) Combined Level (dB) Practical note
1 60, 60 63.01 Doubling equal sources adds about 3 dB.
2 70, 60 70.41 A 10 dB gap makes the louder source dominate.
3 72, 68, 65 74.35 Several smaller sources still raise the total.
4 85, 85, 85, 85 91.02 Four equal sources add about 6 dB.
Tip: If you measured at different distances, correct levels first.

Noise Level Addition: Practical Notes

1) Why decibels cannot be added directly

A decibel value is a logarithm of acoustic power or intensity. Adding 70 dB and 70 dB as numbers would ignore the underlying energy. In practice, two equal, independent sources raise the combined level by about 3 dB, not 70 dB.

2) Core equation used by this calculator

Each entered level L is converted to a linear power ratio using 10^(L/10), summed across sources, and then converted back with 10·log10(Σ10^(L/10)). This matches how sound energies combine for uncorrelated sources.

3) Quick reference increases

Doubling acoustic power is +3 dB. Increasing power by a factor of ten is +10 dB. For N equal sources, the increase over one source is 10·log10(N) dB (for example, four equal sources add about 6 dB).

4) A‑weighting and measurement consistency

Ensure all inputs represent the same weighting and time response (such as dB(A) fast, or Leq over the same duration). Mixing different settings can make the combined result misleading even if the math is correct.

5) Background noise and “subtracting” levels

If you measured a source on top of background, you should remove background before adding multiple sources. Subtraction is not linear either: convert levels to power, subtract the background power, then convert back, ensuring the result stays positive.

6) Distance corrections before combining

When readings are taken at different distances from sources, normalize them first. In free‑field conditions, doubling distance reduces level by roughly 6 dB (inverse‑square behavior), while reflections can reduce this drop indoors.

7) When this method applies

Energy addition is appropriate for multiple independent noise sources (fans, traffic lanes, machines) where phases are uncorrelated. It is not intended for coherent tones with fixed phase relationships, where interference can cause larger peaks or cancellations.

Used carefully, decibel addition supports engineering estimates, compliance checks, and noise control planning. It also helps explain why small sources can still raise a total.

As context, typical outdoor ambient levels can range from about 35–50 dB in quiet residential areas, 60–70 dB near busy streets, and 80–90 dB near heavy traffic or industrial equipment. If you combine multiple similar contributors, the total increases slowly because the scale is logarithmic. Many workplace programs treat sustained exposure near 85 dB as a trigger level, and each +3 dB roughly doubles acoustic power. This calculator lets you test “what‑if” scenarios quickly and document the combined level for reports.

FAQs

1) What happens if I enter only one noise level?

The calculator returns that same level, because there is nothing to combine. Decibel addition is only meaningful when at least two independent sources contribute.

2) Why do two equal sources add about 3 dB?

Two equal, uncorrelated sources double the acoustic power. A power doubling corresponds to 10·log10(2) ≈ 3.01 dB, which is why the increase is modest.

3) Can I add dB(A) values with dB values?

Avoid mixing them. dB(A) includes frequency weighting, while unweighted dB does not. Combine only levels that share the same weighting and measurement settings.

4) Does this work for music or coherent tones?

Not reliably. Coherent signals can interfere constructively or destructively, changing results beyond energy addition. The tool is best for typical environmental or machine noise sources.

5) How many sources can I combine?

Use as many rows as needed. The math scales well because it sums linear power terms. Very large lists are still fine, but keep inputs consistent and realistic.

6) How do I handle background noise?

Measure background separately, convert both levels to power, subtract background power from the combined measurement, then convert back to dB. If the source is near background, uncertainty increases.

7) Why does a 10 dB increase feel much louder?

A 10 dB rise is a tenfold increase in acoustic power. Human perception is nonlinear, but many listeners experience about a “doubling” of loudness for roughly a 10 dB increase.