  We define and study binary operations for homotopy groups with coefficients.
We give conditions to prove that certain binary operations are the homomorphic
image of the generalized Whitehead product. This allows carrying over
properties of the generalized Whitehead product to these operations. We discuss
two classes of binary operations, the Whitehead products and the Torsion
products. We introduce a new class of operations called Ext operations and
determine some of its properties. We compare the Torsion product to the
Whitehead product in a special case. We prove that the smash product of two
Moore spaces has the homotopy type of a wedge of two Moore spaces.
