This paper investigates potential to improve fault-detection coverage by means of on-chip redundancy. The international standard on functional safety, namely, IEC61508 Ed. 2.0 Part 2 Annex E.3 prescribes the upper bound of βIC (common cause failure (CCF) ratio to all failures) is 0.25 to satisfy frequency upper bound of dangerous failure in the safety function for SIL (Safety Integrated Level) 3. On the other hand, this paper argues that the βIC does not necessarily have to be less than 0.25 for SIL 3, and that the upper bound of βIC can be determined depending on failure rate λ and CCF detection coverage. In other words, the frequency upper bound of dangerous failure for SIL3 can also be satisfied with βIC higher than 0.25 if the failure rate λ is lower than 400[fit]. Moreover, the paper shows that on-chip redundancy has potential to satisfy SIL 4 requirement; the frequency upper bound of dangerous failure for SIL4 can be satisfied with feasible ranges of βIC, λ and CCF coverage which can be realized by redundant code.