Inclusive $B$ decays and exclusive radiative decays by Belle

The $b\to s\gamma$, $b\to d\gamma$ and $b \rightarrow s \ell^+ \ell^-$ processes are allowed at higher order via the electroweak loop or box diagrams in the Standard model. It is sensitive probe to search for new physics beyond the Standard model because new particles might enter in the loop. We present preliminary results of branching fraction of the $\bar{B} \rightarrow X_s \gamma$,$CP$asymmetryinthe$\bar{B} \rightarrow X_{s+d} \gamma$,andtheforward-backwardasymmetryinthe$\bar{B} \rightarrow X_s \ell^+ \ell^-$\mathrm{.}Theresultsarebasedonadatasamplecontaining$772 \times 10^6 B\bar{B}$pairsrecordedatthe$\Upsilon(4S)$ resonance with the Belle detector at the KEKB $e^{+}{e}^{-}$ collider.