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                                                           FOR IMMEDIATE RELEASE


                                                                AINSLIE MAYBERRY
                                               CHIEF FINANCIAL OFFICER (INTERIM)
                                                                 CONDUCTUS, INC.
                                                                    408-523-9428



           CONDUCTUS, INC. MOVES TO THE NASDAQ SMALLCAP MARKET


SUNNYVALE, CA - November 10, 1998 - Conductus, Inc. (NASDAQ: CDTS), a leading
manufacturer of high-performance superconductive wireless systems, announced
today that trading in its shares will move from the Nasdaq National Market to
the Nasdaq SmallCap Market, effective today.  The Company's common stock will
continue trading under its current symbol, CDTS.  Daily price quotations for its
stock will continue to be available in the financial newspapers, on-line
services, and in many general circulation newspapers.

     In July, the Company attended a Nasdaq hearing to discuss the Company's
non-compliance with the net tangible assets requirements for continued listing
on the Nasdaq National Market.  On November 6, 1998, the Company was informed by
Nasdaq that trading in the Company's common stock will be moved to the Nasdaq
SmallCap Market.

     "We will continue to use our best efforts to maintain the maximum liquidity
for our stockholders, and in that regard we are happy to retain a Nasdaq Stock
Market listing.  We hope that the continued growth of the Company will enable us
to reapply for the Nasdaq National Market in the future," said Charles E.
Shalvoy, President and CEO of Conductus, Inc.

     The Company's continued listing on the Nasdaq SmallCap Market is contingent
upon its successful completion of an application and review process.  This
process will require the Company to file an application and listing agreement
for a new listing on the Nasdaq SmallCap Market, to demonstrate compliance with
all applicable continued listing criteria, and to pay all new listing fees.
     
                                          
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CONDUCTUS/Page 2


     Conductus, Inc., founded in 1987 and based in Sunnyvale, California,
develops, manufactures and markets electronic components and systems based on
superconductors for applications in the worldwide telecommunications market. 
For many applications, the unique properties of superconductors offer
significant performance advantages over products based on conventional copper
electronic components.  These advantages can provide improved price/performance
at the system level because of enhanced sensitivity and efficiency as well as
reduced size and weight.

                                          
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The statements contained in this press release that are not purely historical
are forward-looking statements within the meaning of Section 21E of the
Securities and Exchange Act of 1934, including statements regarding the
Company's expectations, beliefs, hopes, intentions, or strategies regarding the
future.  Forward-looking statements include statements regarding future sales,
product introduction and acceptance, market acceptance and financial stability. 
The Company's actual results and the timing of certain events may differ
significantly from the results discussed in the forward-looking statements.

Press announcements and other information about Conductus are available on the
World Wide Web.  Type http://www.conductus.com at the prompt.