Biomolecules exhibit electronic properties that can be uniquely utilized in new generation of electronic nanodevices. Complex three-dimensional information processing, computing and memory architectures can be designed and fabricated using self-assembled biomolecules. Those biomolecules can be used as functional multi-terminal interconnected electronic nanobiodevices. We examine DNA-based transistors (DNA^T) that can find the application in multi-valued logics Though the considered solution may not have significant advantages compared with conventional CMOS MOSFETs, the performed research serves as a proof-of-concept platform. We provide the proof of feasibility with a significant implication and technological enhancements to complex biomolecular nanoelectronics. It is important to design and analyze functional high-performance electronic nanobiodevices comprehending basic phenomena and effects in biomolecule-junction/connect complexes. Electronic behavior and I-V characteristics of DNA^T are studied merging experimental and theoretical results.