Telecom & Networking
Intermediate

Bit Error Rate

Fraction of transmitted bits received in error.

Formula

BER=ENBER = \frac{E}{N}

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Variables

BERBit error rate
EBits in error
NTotal bits sent

Example

20 errors in 10⁶ bits: BER = 2×10⁻⁵

How it works

Bit error rate compares how many bits were received incorrectly to how many bits were transmitted in total. It works as a simple ratio because it measures the probability of error on a per-bit basis over a chosen sample of data. A smaller BER means a cleaner link with fewer transmission errors, while a larger BER indicates more noise, interference, or other communication problems.

When to use it

Use this when evaluating digital communication links such as fiber, radio, Wi‑Fi, or wired networks. It is also useful in testing modems, codecs, or error-correction systems to see how reliably bits are being delivered.

Worked example, step by step

A network test sends 2,500,000 bits across a link. Out of these, 75 bits are received incorrectly. Use the formula: BER = E / N Substitute the values: BER = 75 / 2,500,000 Calculate: BER = 0.00003 Write in scientific notation: BER = 3.0 × 10^-5

Common mistakes to avoid

  • Using packets or bytes instead of bits in the formula
  • Forgetting that BER is a ratio, so the answer is usually a decimal or scientific notation, not a percentage unless converted
  • Counting retransmitted or corrected bits the same way as raw received errors without checking how the test was defined

Did You Know?

Fibre-optic links routinely achieve BERs better than one error in a trillion bits.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026