A pair of 32 bit Gaussian Random Numbers (GRaNs) is generated. Box Muller (BM) transformation is widely used for generation of high quality Gaussian Random Numbers in hardware. The BM transformation is a direct method to convert random numbers into a Gaussian random numbers. For the generation of uniform random number skip-ahead linear feedback shift register (SA-LFSR) is used which is given as input to BM transformation. CORDIC algorithm is used for the hardware design of BM transformation. The SA-LFSR does not suffer from correlations since they skip n number of bits at every sample. © 2017 IEEE.