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The Routers Primary method for routing a packet is by using the IP address. In Fact some Routers do not use MAC addresses

But once the packet arrives at the gateway for the destination LAN, the ARP table is used to configure the packet to be delivered by MAC address

The Router Addressing Hierarchy

Layer 3

E8-08-88-CB-3F-B4

44-AB-5F-DF-C1-FB

00-1B-63-B4-45-C6

0F-99-3E-A6-2F-01

170.170.10.10

170.170.10.11

170.170.10.12

170.170.10.13

EF-0E-82-C2-34-44

4E-AC-5A-D2-C1-2B

0D-1D-6D-B2-42-46

0C-9A-AE-36-5F-A1

170.170.11.10

170.170.11.11

170.170.11.12

170.170.11.13

170.170.10.0

170.170.11.0