  We derive new CMB anisotropy power spectrum and BBN constraints for
evaporating primordial black holes by explicitly solving the electromagnetic
particle cascades of emitted particles and the deposition of this emitted
energy to the background baryon-photon plasma. We show that the CMB
anisotropies can provide stronger constraints compared to BBN and CMB spectral
distortions on black holes with masses as small as $M_{\rm BH}=1.1\times
10^{13}$g, a slightly smaller mass than what has been considered in literature
until now. We also show that, with more up-to-date data on abundances of
deuterium and helium-3, BBN constraints are strengthened significantly.
