This book mainly focuses on the design methodologies of various quantum circuits, DNA circuits, DNA-quantum circuits and quantum-DNA circuits. This book has compiled various design aspects of Multiple-Valued Logic DNA-quantum and quantum-DNA sequential circuits, memory devices, programmable logic devices and nano-processors. Multiple-Valued Computing in Quantum Molecular Biology: Sequential Circuits, Memory Devices, Programmable Logic Devices, and Nano Processors is volume two of a two volume set, Multiple-Valued Computing in Quantum Molecular Biology, it consists of four parts. This book presents various design aspects of multiple-valued logic DNA-quantum and quantum-DNA Sequential circuits, memory devices, programmable logic devices and nano-processors. Part one discusses multiple-valued quantum and DNA sequential circuits such as D flip-flop, SR latch, SR flip-flop, JK flip-flop, T flip-flop, shift register, ripple counter, synchronous counter are described respectively with the applications and working procedures. After that multiple-valued quantum-DNA and DNA- quantum sequential circuits such as D flip-flop, SR flip-flop, JK flip-flop, T flip-flop, shift register, ripple counter, and synchronous counter circuits are explained with working procedure, and architecture. Part two discusses the architecture and design procedure of memory devices such as Random Access Memory (RAM), Read-Only Memory (ROM), Programmable Read-Only Memory (PROM), and cache memory are sequentially described in multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum computing. In Part three, the author examines the architectures and working principles of programmable logic devices such as Programmable Logic Array (PLA), Programmable Array Logic (PAL), Field Programmable Gate Array (FPGA), and Complex Programmable Logic Device (CPLD) in multiple-valued quantum, DNA, quantum-DNA and DNA-quantum computing. Multiple-valued quantum, DNA, quantum-DNA and DNA-quantum nano processors are designed with algorithms in Part four. Furthermore, the basic components of ternary nano processors such as T-RAM, ternary instruction register, ternary incrementor circuit, ternary decoder, ternary multiplexer, ternary accumulator in quantum, DNA, quantum-DNA and DNA-quantum computing are also explained in detail. This book will be a great help for researchers, and students in Quantum Computing, DNA Computing, Quantum-DNA Computing and DNA-Quantum Computing.