PPT-A Decimal Floating-Point Adder with Decoded Operands and a

Decimal LeadingZero Anticipator By LiangKai Wang and Michael J Schulte Joseph Schneider March 12 2010 Goal is to improve latency for DFP Adder Number of modifications performed to achieve this such as an implementation of a new internal format. Hasan Babu and Ahsan Raja Chowdhury Department of Computer Science and Engineering University of Dhaka Dhaka Bangladesh Email hafizbabuhotmailcom farhan717yahoocom Abstract In this paper we have proposed a design technique for the reversible circuit - . Nalini. Kumar. . Gaurav. . Chitroda. . Komal. . Kasat. OUTLINE. Introduction. Prior Art. Hw/. Sw. Partitioning Of Floating Point Applications. Floating Point To Fixed Point Conversion. Fixed Point To Floating Point Conversion. Data Representation. Representing Real numbers. Need to represent numbers such as . 0.543. or . -17.45. The decimal system uses the “decimal point”. Remember the definition of a number system, but extended to negative exponents. What is 0.75 in binary?. How could we represent fractions?. In decimal:. As fractions : 1/5 . How could we represent fractions?. In decimal:. As fractions : 1/5 . As decimals : 0.2. hundreds. 10. 2. tens. So far we have studied the following . integer. number systems in computer. Unsigned numbers. Sign/magnitude numbers. Two’s complement numbers. What about . rational numbers. ?. For example, 2.5, -10.04, 0.75 etc. HPEC Conference, Sept 12 2012. Michael Parker. Altera Corp. Dan Pritsker . Altera Corp. 2. 28-nm . DSP Architecture on Stratix V FPGAs. User-programmable variable-precision . signal processing. Optimized for single- and double-precision . Weirdness. . Overflow. Each data type has a limited range. Depends on platform/compiler. Going past boundary wraps around. Data Types. Integral Types. Name. Size. Range. short. 16 bits. –2. 15. (-32,768) to 2. & IEEE 754. Column Pattern. What goes to the right of 1’s column?. 2. 3. 8. 2. 2. 4. 2. 1. 2. 2. 0. 1. Column Pattern. Negative powers of two:. 2. -3. = . = . . = 0.125.  . 2. 3. 8. 2. 2. 4. Outline. Fixed-point Numbers. Floating Point Numbers. Superscalar Processors. Multithreading. Homogeneous Multiprocessing. Heterogeneous Multiprocessing. 1. 3.141592653589793238462643383…. Fixed-point Numbers. ASSEMBLY LANGUAGE. Lecture 7 . & 8. Floating Point Representation. Binary Coded Decimal. Course Instructor: Engr. Aisha Danish. Real Numbers. Numbers with fractions. Could be done in pure binary. Rounding. Floating-Point Operations. Mathematical Properties. CS 105. “Tour of the Black Holes of Computing!”. Floating-Point Puzzles. For each of the following C expressions, either:. Argue that it is true for all argument values. Instructor:. . Mark Wyse. Teaching Assistants:. Kevin Bi Parker, . DeWilde. , Emily . Furst. ,. Sarah House, Waylon Huang, Vinny . Palaniappan. http://xkcd.com/571/. . Administrivia. Lab 1 due Friday (1/19). Rounding. Floating-Point Operations. Mathematical Properties. CS 105. “Tour of the Black Holes of Computing!”. Floating-Point Puzzles. For each of the following C expressions, either:. Argue that it is true for all argument values. IEEE 754 types of real number values. IEEE uses three different encodings to represent real values:. 1. . Denormalized values: . These are . extremely. small values, very close to 0, including 0. If such a value becomes too small, it can cause .