Hi,
Two Option
First option:
Choose one the interface of ASA, make it as DMZ, assign public IP /27 to the DMZ interface, and assign another IP from /27 direct to the server. Your Server must point Default Gateway to ASA DMZ IP.
Second Option:
If let say your server currently sitting in the ASA LAN (inside), than you can achieve this by Port Forwarding or Static NAT mapping. Just choose one public IP from /27 and do Static NAT to the Private IP of the server in Cisco ASA. This will allow client access the server via Public IP, while server actually holding Private IP, and the translation done in Cisco ASA.
Regards,
Nagis