The theory of bicomplex numbers has found extensions and applications in many directions such as Quantum Mechanics, Blind Source Separation etc. The hyperbolic numbers are associated to Space-time geometry as stated by Lorentz transformations of special relativity, etc. Motivated by the wide range of applications, we study the bicomplex numbers and develop the theory of such numbers. Rochon presented a variety of algebraic properties of both bicomplex and hyperbolic numbers. He studied three types of conjugations and four types of modulii for both bicomplex and hyperbolic numbers. We have...