Can we make a special purpose processor – for example, a processor that is designed to facilitate linear algebra?
This is a slightly difficult question. When the competition guidelines were published it was anticipated that students would design a general-purpose processor similar to CISC like the Pentium/68K or RISCs like MIPS/ARM/PowerPC. However, the rules to not specify any given architecture or provide any rules or restrictions. So, the answer to the question is YES. Your work will be judged on the quality/ingenuity of the architecture and the design and implementation of your simulator.
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