324_Book

245 floating point operations the ieee standard

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: the set of values that can be represented in a hypothetical 6-bit format having ¿ ¿ ½ exponent bits and Ò ¾ signiﬁcand bits. The bias is ¾ ½ ¿. Part A of the ﬁgure shows all representable values (other than Æ Æ ). The two inﬁnities are at the extreme ends. The normalized numbers with maximum magnitude are ¦½ . The denormalized numbers are clustered around 0. These can be seen more clearly in part B of the ﬁgure, where we show just the numbers between ½ ¼ and ·½ ¼. The two zeros are special cases of denormalized numbers. Observe that the representable numbers are not uniformly distributed—they are denser nearer the origin. Figure 2.23 shows some examples for a hypothetical eight-bit ﬂoating-point format having exponent ½ ½ bits and Ò ¿ fraction bits. The bias is ¾ . The ﬁgure is divided into three regions representing the three classes of numbers. Closest to 0 are the denormalized numbers, starting with 0 itself. Denormalized ½ numbers in this format have ½ , giving a weight ¾ . The fractions range...
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