In this paper, a detector block is introduced to identify the unwanted portion of the input data to be processed in the data processing unit. Therefore data computation time is reduced in the detector based Vedic multiplier that supports full range and half range input data. The detector is developed based on Boolean function, to detect the valid ranges of two input operands during input data computation. The detector result is used to select the operand with half range input data for Vedic multiplication and it is disabled the surplus computation. So, it reduces the switching activities in the logic gates and proportionally reduces the power consumption. Including the detector unit, modified Vedic multiplier architecture is developed with less area overhead in case of both operands in full range computation. The Modified Vedic multiplier, which is used to compute 4 bit, 8 bit and 16 bit length input data are used to analysis the processing time and calculated number of active logic gates needed during multiplication. The proposed architecture reduces number of active logic gates from 43% to 76.25%. So, this proposed modified Vedic multiplier is placed in the mantissa part of the floating point number multiplication which is used to analysis real time application.