Image steganography is a technique for hiding the secret data in a carrier image. This paper proposes a novel n-right most bit replacement image steganography technique to hide the secret data in an image, where 1 ≤ n ≤ 4. The major objectives of the proposed technique are, (1) improving the peak signal to noise ratio (PSNR), (2) improving the embedding capacity (EC), (3) avoiding the fall of boundary problem (FOBP), and (4) robustness against salt and pepper noise and RS attack. Initially, the n-right most bits for each pixel and the n-bits of the secret data are converted to decimal values. Then, using the difference between these two decimal values the original pixels are readjusted to produce stego-pixels. From the experimental results it is observed that PSNR is higher for lower value of n and the EC is larger for the higher value of n. Furthermore, it is also experimentally investigated that the proposed technique is resistant to steganalytic attacks.