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Convert Unsigned FloatingPoint Binary 10111101101110112 to Decimal Solution The integer portion is evaluated as an unsigned integer 101111012 Original Integer decimal 127 026 125 . Lecture 8. Floating point format. Review. Two’s complement. Excessive notation. Introduction to floating point. Outline. Floating point conversion process. Standards. What are the components that make up a floating point number?. Nat 4/5 Computing Science. Lesson . 2:. More on Binary. What is . an integer?. Convert . 1100 1100 into . a decimal number. Convert 23 into binary.. What are the three advantages of binary. REVISION. 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 . Fall 2014. Section A, 8. th. September. Vinay Bhat. Welcome to a fun course!. Yes, it really is fun!. Recitation will be a place for …. … a quick overview of the last week’s lectures.. . … re-iteration of some key concepts.. 15-213: Introduction to Computer Systems. Recitation 3: Monday, Sept. . 9. th. , 2013. Ian Hartwig. Section E. Welcome to Recitation. Recitation is a place for interaction. If you have questions, please ask.. 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. Operations . and . Arithmetic. Floating point representation and operations. Floating Point. Integer data type. 32-bit unsigned integers limited to whole numbers from 0 to just over 4 billion. What about national debt, bank bailout bill, Avogadro’s number, Google…the number?. Review. Homework due on Friday. Questions. Binary. Addition. Subtraction. Encoding. Outline. Two’s complement. Excess notation. Floating point format. Two’s complement. Similar to one’s complement. Outline. Fixed-point Numbers. Floating Point Numbers. Superscalar Processors. Multithreading. Homogeneous Multiprocessing. Heterogeneous Multiprocessing. 1. 3.141592653589793238462643383…. Fixed-point Numbers. 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). Fixed point (can overflow). Floating point (can overflow, underflow). (Boolean / Character). Note: most embedded systems deal with physical input and output (medical data, mechanical quantities, temperature, concentration of a material in a mixture, etc.). 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 .