Bird feet are adapted to the life they lead, and the patterns are often use in avian classification. They are derived from the basic limb of ancestral tetrapods, the pentadactyl limb. Humans (and other primates) have the original five fingers and five toes. Birds have no more than four toes, inherited together with over a hundred anatomical features from theropod dinosaurs. These four toes are arranged into four main patterns.

Arrangement of toes 
Anisodactyly. This is the most common arrangement of toes in birds, with three toes forward and one back. It is the basic pattern in passerine birds, especially the songbirds, and hunting birds like eagles, hawks, and falcons. The anisodactyl arrangement lets passerine birds perch on vertical surfaces, such as trees and cliffs. The hind toe joins the leg at the same level as the front toes. The leg arrangement of passerine birds has a special adaption for perching: a tendon-locking mechanism. A tendon in the rear of the leg is automatically pulled and tightened when the leg bends. This makes the foot curl stiffly round when the when the bird lands on a branch. The tendon is locked in place by another tendon. So passerines sleep while perching without falling off. Certain species of passerines have stiff tail feathers, which help the birds balance themselves when perching on vertical surfaces. Syndactyly is like anisodactyly, except that the third and fourth toes  or three toes, are fused together. This is characteristic of Coraciiformes (kingfishers, bee-eaters, rollers, and relatives).
Zygodactyly. This has two toes facing forward (digits 2 and 3) and two back (digits 1 and 4). This arrangement is most common in arboreal species, particularly those that climb tree trunks or clamber through foliage. Zygodactyly occurs in the parrots, woodpeckers (including flickers), cuckoos (including roadrunners), and some owls. Zygodactyl tracks have been found dating to 120110 million years ago (Lower Cretaceous), 50 million years before the first identified zygodactyl fossils.
Heterodactyly. Heterodactyly is like zygodactyly, except that digits 3 and 4 point forward and digits 1 and 2 point back. This is found only in trogons. 
Pamprodactyly is an arrangement where all four toes may point forward, or birds may rotate the outer two toes backward. It is a characteristic of swifts (Apodidae).
Didactyly. The ostrich has just two toes on each foot, with the nail on the larger, inner toe resembling a hoof. The outer toe has no nail. The reduced number of toes is an adaptation to its life on open land. Ostriches can run at a speed over  and can cover  in a single stride.

Parts of the leg

Knee joint 
The bird knee joint between the femur and tibia (or rather tibiotarsus) points forwards, but is hidden in the feathers. The backward-pointing "heel" (ankle) that is easily visible is a joint between the tibiotarsus and the tarsometatarsus.

Tarsometatarsus 
The tarsometatarsus is the third segment of the leg. Only birds have this. It evolved from bones of the ankle in their ancestors. The tarsometatarsus is the extended foot area, which gives the leg extra lever length.

Scales 
The scales of birds are made of the same keratin as beaks, claws, and spurs. They are found on the toes and sometimes further up on the ankle. The scales and scutes of birds are thought to be homologous with those of reptiles, and feathers have developed from the scales of Archosaurs.

References 

Birds