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. -6.47510 i. Convert it into a binary number ii. Normalize this binary number iii. Fill up the fields

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. -6.47510 i. Convert it into a binary number ii. Normalize this binary number iii. Fill up the fields

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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True/False In Floating Point Addition, the exponents of the two numbers being added need to be made equal before the mantissa fields can be added, as this ensures that the bit positional values are now aligned
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Machine e 1.3.COnsinder format Find the decimal value? IEEE Single-precision floating point 11001001111100100010000000000000. equivalent
3.
3) Represent following floating-point numbers in IEEE single-precision (32- bit) format: a. -0.75, b. 3.0 Show the steps done to reach the answer for each (i.e. how to get the S-bit, the exponent, and the fraction field of the answer).
Select the value that is equivalent of Single Precision Floating Point (SPFP) presented in hexadecimal "OX3E600000 ": O +(0.00111)2 O +(0.0011)2 O +(110.00)2 O +(1100.0)2 O +(0.001111)2
Please type your answer.not picture 2. Represent the decimal number -66 in 8-bit binary number using the following representation methods: a) Two's complement b) Signed-magnitude 3. What decimal value does the 8-bit binary number 10010110 have if: a) it is on a computer using signed-magnitude representation? b) it is on a computer using two's complement representation? c) it is on a computer using excess-M representation?
Print the binary representation for a real value between O and 1 that is input as a double, for as 0.72. Print "ERROR:" if the number cannot be adequately represented in binary with no more than 32 characters.
2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.