Exhibit 31.1

FORM 10-Q CERTIFICATION

I, John E. Bourgoin, certify that:

| | 1. | I
have reviewed this quarterly report on Form 10-Q of MIPS Technologies, Inc.;
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| | 2. | Based
on my knowledge, this quarterly report does not contain any untrue           statement of
a material fact or omit to state a material fact necessary to make           the
statements made, in light of the circumstances under which such statements           were
made, not misleading with respect to the period covered by this report;
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| | 3. | Based
on my knowledge, the financial statements, and other financial information
               included in this report, fairly present in all material respects the
financial                condition, results of operations and cash flows of the
registrant as of, and                for, the periods presented in this report.
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| | 4. | The
registrants other certifying officers and I are responsible for
          establishing and maintaining disclosure controls and procedures (as defined in
          Exchange Act Rules 13a-15(e) and 15d-15(e)) for the registrant and we have:
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| | a) | Designed
such disclosure controls and procedures, or caused such disclosure           controls and
procedures to be designed under our supervision, to ensure that           material
information relating to the registrant, including its consolidated
          subsidiaries, is made known to us by others within those entities, particularly
          during the period in which this quarterly report is being prepared;
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| | b) | Evaluated
the effectiveness of the registrants disclosure controls and           procedures
and presented in this report our conclusion about the effectiveness           of the
disclosure controls and procedures, as of the end of the period covered           by this
report based on such evaluation; and
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| | c) | Disclosed
in this report any change in the registrants internal control           over
financial reporting that occurred during the registrants first fiscal
          quarter that has materially affected, or is reasonably likely to materially
          affect, the registrants internal control over financial reporting; and
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| | 5. | The
registrants other certifying officers and I have disclosed, based on           our
most recent evaluation of internal control over financial reporting, to the
          registrants auditors and the audit committee of registrants board
of           directors (or persons performing the equivalent function):
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| | a) | All
significant deficiencies and material weaknesses in the design or operation           of
internal control over financial reporting which are reasonably likely to
          adversely affect the registrants ability to record, process, summarize
and           report financial information; and
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| | b) | Any
fraud, whether or not material, that involves management or other employees           who
have a significant role in the registrants internal controls over
          financial reporting.
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|Dated:  November 8, 2004 | By:     /s/ JOHN E. BOURGOIN         
|                         | John E. Bourgoin                     
|                         | President and Chief Executive Officer
|                         | MIPS Technologies, Inc.              

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