A semiconductor device having a stacked arrangement of a substrate and a first chip and a second chip is disclosed. In one embodiment, the first chip is arranged with a lower face on an upper face of the substrate; the second chip with a lower face on an upper face of the first chip, whereby a partial area of the upper face of the first chip that is adjacent to an edge of the first chip is uncovered by the second chip; a fifth wire contact pad is arranged on the uncovered area of the upper face of the first chip; a first bonding wire is arranged that is connected with a first wire contact pad of the substrate and the fifth wire contact pad of the first chip.