The document discusses different instruction execution methods like straight-line sequencing and branching. It also covers addressing modes which specify how the location of an operand is represented in an instruction, including immediate, register, absolute/direct, indirect, indexed, relative, and auto-increment/decrement modes. Indexing allows accessing data in arrays by adding an index register or offset to a base register pointing to the array start. Relative addressing computes addresses as offsets from the program counter for branches.