Assume that a mad scientist designed a new floating point binary format. In his lesign, he assigned 1 bit for sign, 10 bits for Exponent, 18 bits for fractions. Sign (1bit) Exponent (10 bit) Fraction (18 bit) Now, assume that you want to store -0.076 into this format. Convert -0.076 into above binary floating point format. For fraction part only compute 7 places after the point. (e.g. 0.1001111) To receive full points in this question, show all the detail computation. Paragraph + v ...

Assume that a mad scientist designed a new floating point binary format. In his lesign, he assigned 1 bit for sign, 10 bits for Exponent, 18 bits for fractions. Sign (1bit) Exponent (10 bit) Fraction (18 bit) Now, assume that you want to store -0.076 into this format. Convert -0.076 into above binary floating point format. For fraction part only compute 7 places after the point. (e.g. 0.1001111) To receive full points in this question, show all the detail computation. Paragraph + v ...

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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Find the sum of all the digit in 12/8/2002 the do the following Convert the sum into 32 bit binary and also convert the sum into 32 bit,IEEE-754 single precesion floating formate. For example if your date of birth 15-8-2001 then the sum of it's digits would be 17.you should convert it into 32 bit binary and single precesion floating formates
Suppose that we use the floating-point format with 12 decimal digits, SEEEMMMMMMMM, to rep- resent a real number, where S is the digit to represent the sign of the mantissa (use 0 for pos- itive and 5 for negative), EEE are the 3 digits to represent the exponent in excess-500 format, MMMMMMMM are the 8 digits to represent the magnitude of the mantissa, and the decimal point of the mantissa is right to the left of MMMMMMMM (i.e., SEEEMMMMMMMM representing the real number +0.MMMMMMMM × 10EEE-500) What are the smallest positive number and the largest positive number that can be represented in this format? Write them in exponential notation.
A. Add the two pairs of binary numbers X = 00101 and Y = 10111and show the results in binary. (Be sure to show the carry as you add.) Let us the call the result Z = X +Y. Carries 0010 1 (X) + 10111 (Y) (Z) B. Convert the binary integer 1010101011 to decimal. C. Convert decimal integer 1393 to binary. Show all your work, quotients, and remainders, and then write down the answer. D. Convert decimal integer 1393 to hexadecimal. You can use the answer from part (C) or could use calculator to do division. Show you work either way.
Problem: You have the table below of values of telemetry from the satellite. The temperatures are encoded linearly in unsigned binary bytes as a function of time. The samples come in every five minutes starting at time = 0. The temperatures are in degC and the temperature of -50 degC corresponds to a telemetry value of 0, while a temperature of 100 degC corresponds to a telemetry value of 255. (All values are decimal unless explicitly stated otherwise.) Write down the equation that describes the temperature as a function of telemetry value in the form of T = a* TV + b. What is the value of a? What is the value of b? After your data has been downlinked, as shown in the table below, fill in the Time and Temperature columns (to one place past the decimal point for the Temperature). Sample Telemetry value Time (minutes) Temperature (degC) 1 2 3 4 5 6 7 8 9 10 11 12 13 10 12 14 17 21 41 81 181 210 220 215 222 225 0 5 10 60 -44.1 -42.9 -41.8 82.3
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4. A computer stores real numbers in floating point format in 8-bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next two bits for the magnitude of the exponent, and the next four bits for the magnitude of the mantissa. What is the base-10 number (10100111)2 given 8-bit format?
Suppose that we use the floating-point format with 12 decimal digits, SEEEMMMMMMMM, to rep- resent a real number, where S is the digit to represent the sign of the mantissa (use 0 for pos- itive and 5 for negative), EEE are the 3 digits to represent the exponent in excess-500 format, MMMMMMMM are the 8 digits to represent the magnitude of the mantissa, and the decimal point of the mantissa is right to the left of MMMMMMMM (i.e., SEEEMMMMMMMM representing the real number +0.MMMMMMMM × 10EEE-500.) When you use this format to represent a real number, in which scenario an overflow will occur and in which scenarios an underflow may occur?
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