Base-indexed Addressing Mode

Base-indexed addressing mode is an addressing mode that uses the contents of a base register and an index register to calculate an operand's offset. The offset is then added to the PC to determine the memory location where the operand will be placed.

$$\mathrm{address}=\mathrm{base}+\mathrm{index}\times \mathrm{coefficient}+\mathrm{offset}$$

For example, consider a int array in C programing language, the size of each element is 32 bit (4 Byte), therefore the $\mathrm{coefficient}=4$, and the $\mathrm{index}$ is the index i of a[i]