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When talking about sign-extended instructions I think of the I-instruction (beq, bne, addi, etc) if I am correct, but I am not sure if the MIPS instruction NOT is I type or R Type

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There is technically no NOT instruction in MIPS. NOT is a synthetic instruction. Convert it to an actual MIPS instruction first.Raymond Chen

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NOT is a pseudo instruction that inverts the given input. I believe the real instruction is a logical operation with the zero register which is R type.