Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site wateng.UUCP Path: utzoo!watmath!wateng!pdbain From: pdbain@wateng.UUCP (Peter Bain) Newsgroups: net.micro.68k,net.arch Subject: binary normalization Message-ID: <1422@wateng.UUCP> Date: Wed, 12-Sep-84 10:36:29 EDT Article-I.D.: wateng.1422 Posted: Wed Sep 12 10:36:29 1984 Date-Received: Thu, 13-Sep-84 05:28:34 EDT References: <1191@rti-sel.UUCP>, <4190@fortune.UUCP>, <420@watdcsu.UUCP> Organization: U of Waterloo, Ontario Lines: 9 The IEEE floating point standard also uses binary normalization. One benefit of this is that, since you know the first bit of the mantissa will be a 1, you can leave it out, giving an extra bit of precision. The standard uses special exponent values to express exceptional conditions such as zero, unnormalized numbers (this allows "soft underflow"), not-a-number, overflow, etc. I compared 32 bit IEEE to 32 bit IBM, and found that IEEE is better in the average and worst case, and as good in the average case. -peter