The function of adaptive modulation generally experiences the power shortcomings of multi-level modulation designs. This is because of the variations in bit reliabilities brought about by the bit mapping onto the signal constellation. A Constellation Rearrangement (CoRe) method is utilized to defeat this problem. In which the signal constellation of QAM signals between re-transmissions is rearranged. The constellation rearrangement exclusively is utilized for 16 QAM and 64 QAM modulation methods. Constellation rearrangement version 0 is of lesser quality in the constellation rearrangement version 1, while the two bits of lower quality in constellation rearrangement version 0 are of greater quality constellation rearrangement version 1.