Exhibit 24

         Limited Power of Attorney for Section 16 Reporting Obligations

    Know all by these presents, that the undersigned hereby makes, constitutes
and appoints each of Jason Stokes and Steve Manko, or either of them acting
singly, and with full power of substitution and re-substitution, the
undersigned's true and lawful attorney-in-fact (each of such persons and their
substitutes being referred to herein as the "Attorney-in-Fact"), with full power
to act for the undersigned and in the undersigned's name, place and stead, in
any and all capacities, to:

    1.   Prepare, execute and submit to the Securities and Exchange Commission
("SEC"), SkyWater Technology, Inc. (the "Company"), and/or any national
securities exchange on which the Company's securities are listed any and all
reports (including any amendments thereto) the undersigned is required to file
with the SEC, or which the Attorney-in-Fact considers it advisable to file with
the SEC, under Section 16 of the Securities Exchange Act of 1934 (the "Exchange
Act") or any rule or regulation thereunder, or under Rule 144 under the
Securities Act of 1933 ("Rule 144"), with respect to any security of the
Company, including Forms 3, 4 and 5, and Forms 144;

    2.   Obtain, as the undersigned's representative and on the undersigned's
behalf, information regarding transactions in the Company's equity securities
from any third party, including the Company and any brokers, dealers, employee
benefit plan administrators and trustees, and the undersigned hereby authorizes
any such third party to release any such information to the Attorney-in-Fact;
and

    3.   Take any other action of any type whatsoever in connection with the
foregoing which, in the opinion of the Attorney-in-Fact, may be of benefit to,
in the best interest of, or legally required by, the undersigned.

      The undersigned acknowledges that:

        a)   This Limited Power of Attorney authorizes, but does not require,
             the Attorney-in-Fact to act in his discretion on information
             provided to such Attorney-in-Fact without independent verification
             of such information;

        b)   Any documents prepared or executed by the Attorney-in-Fact on
             behalf of the undersigned pursuant to this Limited Power of
             Attorney will be in such form and will contain such information as
             the Attorney-in-Fact, in his discretion, deems necessary or
             desirable;

        c)   Neither the Company nor the Attorney-in-Fact assumes any liability
             for the undersigned's responsibility to comply with the
             requirements of Section 16 of the Exchange Act or Rule 144, any
             liability of the undersigned for any failure to comply with such
             requirements, or any liability of the undersigned for disgorgement
             of profits under Section 16(b) of the Exchange Act; and

        d)   This Limited Power of Attorney does not relieve the undersigned
             from responsibility for compliance with the undersigned's
             obligations under Section 16 of the Exchange Act, including,
             without limitation, the reporting requirements under Section 16 of
             the Exchange Act.

    The undersigned hereby grants to the Attorney-in-Fact full power and
authority to do and perform each and every act and thing requisite, necessary or
advisable to be done in connection with the foregoing, as fully, to all intents
and purposes, as the undersigned might or could do in person, hereby ratifying
and confirming all that each Attorney-in-Fact, or his substitute or substitutes,
shall lawfully do or cause to be done by authority of this Limited Power of
Attorney. This Limited Power of Attorney shall remain in full force and effect
until the undersigned is no longer required to file Forms 3, 4 or 5 or Forms 144
with respect to the undersigned's holdings of and transactions in securities of
the Company, unless earlier revoked by the undersigned in a signed writing
delivered to the Attorney-in-Fact. This Limited Power of Attorney revokes all
previous powers of attorney with respect to the subject matter of this Limited
Power of Attorney.

    IN WITNESS WHEREOF, the undersigned has signed this Limited Power of
Attorney as of April 9, 2021.

                                             /s/ Thomas R. Lujan
                                         -----------------------------------
                                         Name:  Thomas R. Lujan