  The Dirac equation in four time and four space dimensions (or
(4+4)-dimensions) is considered. Step by step we show that such an equation
admits Majorana and Weyl solutions. In order to obtain the Majorana or Weyl
spinors we used a method based on the construction of Clifford algebra in terms
of 2x2-matrices. We argue that our approach can be useful in supergravity,
superstrings and qubit theory.
