EECS 1520 Lecture Notes - Lecture 9: Radix Point, Decimal Mark, Scientific Notation

• School: York University
• Department: Electrical Engineering and Computer Science
• Course: EECS 1520
• Professor: Andriy Pavlovych

Document Summary

Fractions: binary to decimal ( 1 0 . Fractional part: (. 1 1)2 = 0. 75 (repeated division or standard decimal-to-binary conversion) (repeated multiplication-multiply digits after radix point by the new base) 0. 024 is not 0 yet (. 3285)10 is between (. 010101)2 and (0. 010110)2. Monday, september 24, 2018: very large and very small numbers are often represented in a way that their order of magnitude can be compared. Representing real numbers in decimal: a real value in base 10 can be defined by the following formula where the exponent is an integer. Monday, september 24, 2018: the way floating-point numbers are represented in computers is governed by the. Ieee 754 standard: the standard uses 32-bit, 64-bit and 128-bit representations, the following is a scaled-down 8-bit version that captures the essence of the way binary real (floating-point) numbers are represented. In floating point notation, the bit pattern is divided into 3 components: Three bits can represent 8 different values: 000 (0)