Reference

Failure rate conversions: FIT, per year, MTBF and MTTF

Worked conversions between the units in which failure data arrives, and the traps in MTBF.

2 min read · First Out AI knowledge library

FromTo per hourExample
FIT (failures per 10⁹ hours)× 10⁻⁹250 FIT = 2.5 × 10⁻⁷ per hour
Failures per year÷ 8,7600.01 per year = 1.14 × 10⁻⁶ per hour
Failures per million hours× 10⁻⁶0.3 per 10⁶ h = 3 × 10⁻⁷ per hour
MTTF (years), constant rate1 / (MTTF × 8,760)MTTF 100 years = 1.14 × 10⁻⁶ per hour

Traps

  • MTBF is not a dangerous failure rate. It usually covers all failures, safe and dangerous, detected and undetected. Dividing 1 by MTBF gives λ total, not λDU.
  • MTBF is not a lifetime. An MTBF of 100 years does not mean the device lasts 100 years; it describes the constant-rate period only.
  • Per demand versus per hour. Some data (for example human error) is a probability per demand or per task, not a rate.

Quick check

λDU of a certified transmitter around 10⁻⁷ per hour means about one dangerous undetected failure per 1,140 device-years. If your plant has 500 such transmitters, expect a dangerous failure found at proof tests roughly every two years across the fleet.

Written for First Out AI as engineering guidance. It supports engineering work and does not replace it; check every value against your standards, certificates and company rules with a competent functional safety engineer.