The production and study of the doubly magic 100Sn nucleus and its closest neighbors has been a major experimental challenge in the last decades. The Beta-decays of the even-even N=Z nuclei 96Cd, 98In and 100Sn have been studied at an experiment at the National Superconducting Cyclotron Laboratory. These nuclei were produced by fragmentation of a 120Mev/u 112Sn primary beam impinging on a Be target. The fragments of interest were unambiguously identified and their Beta-decay was measured with the NSCL Beta Counting System (BCS) in conjunction with the Segmented Germanium Array (SeGA). The measured half-life for 100Sn is 0.55 (+0.70,-0.31) s, in agreement with a previous measurement. We observed two Beta-decaying states in 98In with half-lives of 47(13) ms and 0.66(40) s respectively. The half-live of 96Cd, measured for the first time in our experiment, is 1.03 (+0.24,-0.21) s. The implications of the measured half-life of 96Cd on the calculated rp-process final abundances are discussed.