ASCA observations of 4 high redshift radio--loud quasars with 1.44$<$z$<$3.21 are presented. The spectral analysis for three of them (PKS 0332-403, PKS 0537-286, PKS 2149-306) reveals that their X-ray continuum emission is well represented by a simple power--law model plus absorption with photon indices of $Gamma =1.92^{+0.30}_{-0.20}$ (PKS 0332-403), $Gamma =1.63^{+0.14}_{-0.12}$ (PKS 0537-286) and $Gamma =1.57pm 0.05$ (PKS 2149-306). The fourth and most distant object, PKS 1614+051 at z=3.21, was detected, but a detailed spectral analysis is impossible due to the small number of photons. We find evidence for excess absorption above the Galactic $N_H$--value in the ASCA data of PKS 2149-306, which is not confirmed by the ROSAT All-Sky Survey PSPC spectrum of this source. This could probably be due to variable absorption. The ROSAT spectrum of PKS 0537-286, deduced from a 10 ksec pointed PSPC observation, is consistent with the ASCA results. Thermal bremsstrahlung models also give acceptable fits to the ASCA data with best fit (rest frame) temperatures of 10.4, 33.5 and 45.8 keV for PKS 0332-403, PKS 0537-286 and PKS 2149-306, respectively. More complicated models for the X-ray continuum are not required, in particular, tight upper limits on the strength of the Fe-K emission line are given. The broad band spectral energy distributions from the radio to the $gamma$-rays are presented and discussed.
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