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# Consider the effect of performing a logical right

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Unformatted text preview: Û ½ µ¾ Û Û ½ · Û ¾ ´½ ½ ¾ Û ½ · ½ ¾ ¾ ¼ Ü ½¾ µ¾ Ü Û Û ½ · Û ¾ ¼ Ü¾ Ü ¾ Û ·¾ Û ½ ½ ¼ ¾Ì Û ´Üµ The key simpliﬁcation in the above derivation is that ˜Ü we obtain Ü. È ¾ ¾ Û ¼ ¾ Û ½ ½. It follows that by incrementing . To increment a number Ü represented at the bit-level as Ü ÜÛ ½ ÜÛ ¾ Ü¼ , deﬁne the operation Ò Ö as follows. Let be the position of the rightmost zero, such that Ü is of the form ÜÛ ½ ÜÛ ¾ Ü ·½ ¼ ½ We then deﬁne Ò Ö ´Üµ to be ÜÛ ½ ÜÛ ¾ Ü ·½ ½ ¼ ¼ . For the special case where the bit-level representation of Ü is ½ ½ ½ , deﬁne Ò Ö ´Üµ to be ¼ ¼ . To show that Ò Ö ´Üµ yields the bit-level representation of Ü +tÛ ½, consider the following cases: 1. When Ü value ¼. 2. When ½¼ ½½ ½ ½ , we have Ü ½ . The incremented value Ò Ö ´Üµ ¼ ¼ has numeric ¼½ ½ , we have Ü ÌÅ Ü Û . The incremented value Ò Ö ´Üµ has numeric value ÌÅ Ò Û . From...
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## This note was uploaded on 09/02/2010 for the course ELECTRICAL 360 taught by Professor Schultz during the Spring '10 term at BYU.

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