Hop

1. When referring to a network, hops are the amount of connections in-between the source and destination. With the traceroute command, any user can see how many hops it takes to reach a destination. As can be seen in the below example, to connect from an example computer to Computer Hope it took three hops; traceroute displayed each of the servers, routers, and their response time for each hop.

1169 ms190 ms160 msslc1-tc.xmission.com [166.70.1.20]
2159 ms160 ms190 mscisco0-tc.xmission.com [166.70.1.1]
3165 ms189 ms159 mswww.computerhope.com [166.70.10.23]

2. In IRC, a HOP is short for Half OP and is a user that doesn't have every right, but does have the ability to kick, ban, voice, and change topic.

Also see: AOP, IRC, Trace, Traceroute, Network definitions, Op