Question

If the current value of the PC is 0x00000600, can you use a single jump instruction to get to the PC address as shown in Exercise 2.39?

Short answer

No, since the range is 0xFFFFE604 ~ 0X00020600

Step-by-step solution

Determine the MIPS jump instruction

The MIPS assembly language has the j instruction to perform the jump. The address of the target will be reached through jump only if the target address lies within the jump range.

For example:

j 3500

The above instruction will jump to the target address.

Determine whether the single jump instruction will be enough to get to the PC address.

The given value of PC is 0x00000600.

For the jump instruction the address range can be calculated as follows:

Let us consider the register values from the exercise 2.39 as given in the question.

Range:

$$\begin{gathered} PC+4+0\times 1FFFC=0\times 00000600+4+0\times 1FFFC \\ =0\times 00020600 \end{gathered}$$

The value of PC is added with the base register value and the value of register from exercise 2.39 is added.

$$\begin{gathered} PC+4-0\times 02000000=0\times 00000600+4-0\times 02000000 \\ =0\times FFFE0604 \end{gathered}$$

The above is the range of the jump instruction.

So, No single jump instruction can be used, because the range of the jump is $0\times FFFFE604~0\times 00020600$