This paper primarily discusses the construction of different high speed adders using very high speed integrated circuit hardware design in the platform Modelsim 5.5c. The reason for this investigation is that adders are the most important circuits requiring improved designs in order to obtain maximum gain possible. In any digital system adders are the most fundamental unit. Addition is an indispensible operation in any Digital, Analog, or Control system. They are not only as arithmetic logic unit in computers and some processors but used in some other kind of processors too, where they are used to calculate addresses, table indices, and similar operations [6]. Today technology in measured by its ability to measure computational algorithms. This paper discusses the drawbacks and gains of ripple carry, carry look ahead, carry select and kogges stone in terms of area, speed, delay. This paper focuses on implementation and simulation of 64 bit full adder using very high speed integrated circuit hardware description language(VHDL).