inputs toandsum bitfrom thesign-bitstage. Afurtherinspection oftruthtable foran FA
in Fig. 8.2c indicates thata sign-bit overflow errorcan occur only ifA=Bwhen C
out
=S
for the(n−1)th stage. Shown in Fig.8.11a is thetruth table forthe sign-bit overflowerror
conditions based on this fact. From this truth table there results the expression
S
Error Det
=
¯
S
n−1
(A
n−1
B
n−1
)+S
n−1
(
¯
A
n−1
¯
B
n−1
),(8.5) ...
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