GATE CS 2017 Set 1 — Question 49
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Computer Organization & Architecture → Instructions & Addressing Modes → Addressing Modes
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Question
Consider a RISC machine where each instruction is exactly 4 bytes long. Conditional and unconditional branch instructions use PC-relative addressing mode with Offset specified in bytes to the target location of the branch instruction. Further the Offset is always with respect to the address of the next instruction in the program sequence. Consider the following instruction sequenceIf the target of the branch instruction is i, then the decimal value of the Offset is _______.
Instr. No. Instruction
i : add R2, R3, R4
i+1 : sub R5, R6, R7
i+2 : cmp R1, R9, R10
i+3 : beq R1, Offset
Correct answer
-16
Solution
The branch instruction
The target of the branch is instruction number .In PC-relative addressing, the target address is calculated as:The problem states that the Offset is with respect to the address of the next instruction.
The next instruction after
Address of instruction is .So, .
The Target Address is .Substituting into the equation:Thus, the decimal value of the Offset is -16.
beq R1, Offset is at instruction number . The target of the branch is instruction number .In PC-relative addressing, the target address is calculated as:The problem states that the Offset is with respect to the address of the next instruction.
The next instruction after
beq (at ) would be at .Let be the address of instruction . Since each instruction is 4 bytes long:Address of instruction is .So, .
The Target Address is .Substituting into the equation:Thus, the decimal value of the Offset is -16.
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