IEEE Circuits and Systems Magazine - Q1 2021 - 18

same bitstream feeds the two inputs of the AND gate in
Fig. 8(a), regardless of the bit values in the bitstream, for
UR, p ^O h = p ^ I 1 h = p ^ I 2 h instead of p ^O h = p ^ I 1 h2 = p ^ I 2 h2.
For the same bitstream feeding the two entries of
the XNOR gate in Fig. 8(c), the value of the product is
p ^O h = 1 for the BR.
Hence, it is important to use " good " random generators. However, even in systems where stochastic bitstreams are generated with high-quality random generators, after a few operations, the bitstreams tend to
become correlated due to clock synchronicity. One way
to overcome this limitation is to regenerate the bitstream
[59]; however, the resource penalty impacts the benefit
introduced by the compact arithmetic operators. A less
costly alternative is to replace the global clock with individual ring oscillators for each synchronous component,
which can be sensitive to the process, temperature and
voltage variation [58].
To use SC in typical computing systems, binary-tostochastic and stochastic-to-binary converters are required to leverage SC in practical applications. These
converters are presented in Fig. 9. The binary-to-stochastic conversion in Fig. 9(a) comprises the generation
of an m-bit random binary number in each clock cycle
by means of comparing the m-bit input binary number
with the output of a (pseudo)random number generator.

Comparator
m

Binary

x
yContents


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