COMPUTER SCIENCE Data Representation and Machine Concepts Section 1.7 Instructor: Lin Chen Sept 2013.

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COMPUTER SCIENCE Data Representation and Machine Concepts Section 1.7 Instructor: Lin Chen Sept 2013

1.7 Storing Fractions 1 Data Storage Floating-Point Notation Truncation Errors Pearson Custom: Computer Science, Data Representation and Machine Concepts

Floating-Point Notation 1.6 Storing Fractions Use 8 bits to represent the float number Sign bit 0, nonnegative 1, negative Exponent Mantissa Excess Notation

Floating-Point Notation 1.6 Storing Fractions Convert floating-point notation to decimal floating number

Floating-Point Notation 1.6 Storing Fractions Questions: Convert 8 bits floating-point notation to decimal floating number

Floating-Point Notation 1.6 Storing Fractions Convert decimal floating number to binary floating number with 8 bit floating-point notation to , shift 1 101

Floating-Point Notation 1.6 Storing Fractions Convert decimal floating number to binary floating number with 8 bit floating-point notation to , shift

Floating-Point Notation 1.6 Storing Fractions Normalized Form Starting with the leftmost

Truncation Errors 1.6 Storing Fractions Convert to floating-point notation

Truncation Errors 1.6 Storing Fractions Calculate