They publish journals sponsor conferences and set up

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Examples. Although the bit-level representations of the full products may differ, those of the truncated products are identical. As illustrations, Figure 2.21 shows the results of multiplying different 3-bit numbers. For each pair of bitlevel operands, we perform both unsigned and two’s complement multiplication. Note that the unsigned, truncated product always equals Ü ¡ Ý ÑÓ , and that the bit-level representations of both truncated products are identical. Practice Problem 2.20: Fill in the following table showing the results of multiplying different 3-bit numbers, in the style of Figure 2.21 Mode Unsigned Two’s Comp. Unsigned Two’s Comp. Unsigned Two’s Comp. Ü Ý Ü ½½¼ ½½¼ ¼¼½ ¼¼½ ½½½ ½½½ ¼½¼ ¼½¼ ½½½ ½½½ ½½½ ½½½ ¡ Ý Truncated Ü ¡ Ý We can see that unsigned arithmetic and two’s complement arithmetic over Û-bit numbers are isomorphic— the operations +u , -u , and *u have the exact same effect at the bit level as do +tÛ , -tÛ , and *tÛ . From this Û Û Û Û ½ we can deduce that two’s complement arithmetic...
View Full Document

This note was uploaded on 09/02/2010 for the course ELECTRICAL 360 taught by Professor Schultz during the Spring '10 term at BYU.

Ask a homework question - tutors are online