Suppose that A and B have the same instruction set architecture, assume we have the following information for both processors:

Clock cycle time (A)

Clock cycle time (B)

MIPS (A)

MIPS(B)

Clock rate (A)

Clock rate B

CPI A

CPI B

If processor A has a higher clock rate than B , and A also has higher MIPS rating than B, explain with algebraic equation(s) using above parameters whether A will always execute faster than B. State your assumptions.