We are using the simple model for floating point representation which is a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit. Show step by step how the computer would represent the following numbers using this floating- point format a. 0.4062510 i. Convert it into a binary number ii. Normalize this binary number iii. Fill up the fields

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 88E
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We are using the simple model for floating point representation which is a 14-bit format, 5 bits
for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit.
Show step by step how the computer would represent the following numbers using this floating-
point format
a. 0.4062510
i. Convert it into a binary number
ii. Normalize this binary number
iii. Fill up the fields
Transcribed Image Text:We are using the simple model for floating point representation which is a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit. Show step by step how the computer would represent the following numbers using this floating- point format a. 0.4062510 i. Convert it into a binary number ii. Normalize this binary number iii. Fill up the fields
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