  In signal processing the Rudin-Shapiro polynomials have good autocorrelation
properties and their values on the unit circle are small. Binary sequences with
low autocorrelation coefficients are of interest in radar, sonar, and
communication systems. In this paper we show that the Mahler measure of the
Rudin-Shapiro polynomials of degree $n=2^k-1$ is asymptotically $(2n/e)^{1/2}$,
as it was conjectured by B. Saffari in 1985. Our approach is based heavily on
the Saffari and Montgomery conjectures proved recently by B. Rodgers.
