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Floating Point. Representation and Arithmetic (see Patterson Chapter 4). Outline. Review of floating point scientific notation Floating point binary IEEE Floating Point Standard Addition in Floating Point Remarks about multiplication. Floating Point Notation. Decimal

Floating Point. Number system corresponding to the decimal notation 1,837 * 10 significand exponent A great number of corresponding binary standards exists. There is one common standard: IEEE 754-1985 (IEC 559). 4. IEEE 754-1985. Number representations: Single precision (32 bits)

Floating Point. Number system corresponding to the decimal notation 1,837 * 10 significand exponent A great number of corresponding binary standards exists. There is one common standard: IEEE 754-1985 (IEC 559). 4. IEEE 754-1985. Number representations: Single precision (32 bits)

Floating Point. CS213. Topics IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties. Floating Point Puzzles. For each of the following C expressions, either: Argue that it is true for all argument values Explain why not true. x == (int)(float) x

Floating Point. CSC 333. Topics IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties. Floating Point Puzzles. For each of the following C expressions, either: Argue that it is true for all argument values Explain why not true. x == (int)(float) x

Floating Point. COE 308 Computer Architecture Prof. Muhamed Mudawar Computer Engineering Department King Fahd University of Petroleum and Minerals. Presentation Outline. Floating-Point Numbers IEEE 754 Floating-Point Standard Floating-Point Addition and Subtraction

Floating point. Today IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties Next time The machine model. IEEE Floating point. Floating point representations Encodes rational numbers of the form V=x*(2 y )

Floating Point. Topics. Fractional Binary Numbers IEEE 754 Standard Rounding Mode FP Operations Floating Point in C Suggested Reading: 2.4. Encoding Rational Numbers. Form V = Very useful when >> 0 or <<1 An Approximation to real arithmetic From programmerâ€™s perspective

Floating point. Number system corresponding to the decimal notation 1,837 * 10 significand exponent a great number of corresponding binary standards exists there is one common standard: IEEE 754-1985 (IEC 559). 4. IEEE 754-1985. Number representation