DNA (Deoxyribonucleic Acid) computing is a recent computing technique which is also referred as bio molecular computing or molecular computing. DNA computing is a new avenue for solving the computational problem manipulating the distinct nanoscopic molecule and nowadays the approaches of DNA computing are being employed to resolve combinatorial problems utilizing the advantages of parallelism and high-density storage characteristics of DNA. Besides DNA is considered as the most feasible substance to shape the most nanoscopic materials, manufacture distinct nanomechanical devices and formulating large-scale nanostructures due to its expedient structural features and molecular recognition properties. A concise discussion regarding the splendid advances in constructing nanoelectronics employing DNA computing paradigm and challenges of DNA computing is focused in this paper.