The proposed research work specifies the modified version of binary Vedic multiplier using Vedic sutras of ancient Vedic mathematics. It provides modification in preliminarily implemented Vedic multiplier. The modified binary Vedic multiplier is preferable has shown improvement in the terms of the time delay and also device utilization. The proposed technique was designed and implemented in Verilog HDL. For HDL simulation, Xilinx tool is used and for circuit synthesis, Xilinx is used. The simulation has been done for 4-bit, 8-bit, 16-bit, 32-bit multiplication operation. Only for 32-bit binary Vedic multiplier technique the simulation results are shown. This modified multiplication technique is extended for larger sizes.