A switch virtual interface (SVI) is a virtual Layer 3 interface associated with a VLAN. On a multilayer switch, hosts use the SVI address as their default gateway, allowing the switch’s built-in router to perform inter-VLAN routing without an external router. section 12.4.2
Configuring SVIs on SW1
Enable routing, create one SVI for each VLAN, and assign each interface an address from that VLAN’s subnet: SW1(config)# ip routing SW1(config)# interface vlan 10 SW1(config-if)# ip address 172.16.1.1 255.255.255.192 SW1(config-if)# interface vlan 20 SW1(config-if)# ip address 172.16.1.65 255.255.255.192 SW1(config-if)# interface vlan 30 SW1(config-if)# ip address 172.16.1.129 255.255.255.192 The VLAN ID in interface vlan vlan-id identifies the associated VLAN. Without ip routing, the switch cannot forward packets between VLANs. Verify operation with show ip interface brief; working SVIs appear up/up, and show ip route displays connected and local routes for each SVI.

