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Raspbian runs Avahi services, which means the computer can be discovered automatically using the Zeroconf system (Bonjour, Avahi, etc.)
If your raspberry pi is named DRAWS-CALLSIGN, then you should be able to access it from other machines like this
as long as the computers are on the same LAN. Bonjour is built into most Apple products, Avahi/Zeroconf in many Linux/Android systems. If your Windows box doesn't have it, install iTunes.