1 8 23 EXPONENT FRACTION N = (-1)5 × 1.fraction x 2@xponent– 127 Here the exponent has the limits: 1 < exponent < 254 For example, is given by the bit pattern: O 01111111 10000000000000000000000 while is given by 2 O 01111110 00000000000000000000000 Decimal to Floating Point and Back Again Convert the following float-point binary numbers to decimal. a) binary: 1 10000000 10000000000000000000000 decimal: b) binary: 1 10000001 11000000000000000000000 decimal: Convert the following numbers to the floating-point binary format. c) a fraction: binary: d) an integer: 1 binary: e) an integer: 2 binary:

1 8 23 EXPONENT FRACTION N = (-1)5 × 1.fraction x 2@xponent– 127 Here the exponent has the limits: 1 < exponent < 254 For example, is given by the bit pattern: O 01111111 10000000000000000000000 while is given by 2 O 01111110 00000000000000000000000 Decimal to Floating Point and Back Again Convert the following float-point binary numbers to decimal. a) binary: 1 10000000 10000000000000000000000 decimal: b) binary: 1 10000001 11000000000000000000000 decimal: Convert the following numbers to the floating-point binary format. c) a fraction: binary: d) an integer: 1 binary: e) an integer: 2 binary:

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please help, show work to help me understand

This is the 32-bit format for floating point numbers:
1
8.
23
S
EXPONENT
FRACTION
N = (-1)5 × 1.fraction x 2exponent– 127
Here the exponent has the limits: 1< exponent < 254
For example, is given by the bit pattern:
O 01111111 10000000000000000000000
while is given by
O 01111110 00000000000000000000000
Decimal to Floating Point and Back Again
Convert the following float-point binary numbers to decimal.
a) binary: 1 10000000 10000000000000000000000
decimal:
b) binary: 1 10000001 11000000000000000000000
decimal:
Convert the following numbers to the floating-point binary format.
c) a fraction:
binary:
d) an integer: 1
binary:
e) an integer: 2
binary:

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