Can you check if my asnwer is correct Following figure was plotted for an unsigned integer usinglittle-endian format, please give a representation of the data (adoubleword).0000:78180001:560002:340003:12In the unsigned integer 78h would be stored in the first byte, 56h would be stored in thesecond byte, then the remaining bytes which is the offset of 0002 and 0003Therefore, the unsigned integer using little endian format in doubleword is 78563412h

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Answered: Following figure was plotted for an…

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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The following is a scheme for floating point number representations using 16 bits: s (1) e (6) m (9) Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is (- 1)° (1 + m × 2 °) 2°-31, if the exponent # 111111. 0, otherwise What is the maximum difference between two successive real numbers representable in this system?
Perform the following additions. The numbers are in binary: 1) 1011 +0001 2) 00101110 +10010010 Repeat problem, this time convert the binary numbers to decimal, then perform the addition of the two decimal numbers. Convert the sum into binary representation and compare the results.
The following Iis a scheme for floating point number representations using 16 bits: (1) C161 m (9) Let s, e, and m be the numbers represenied in binary in the sign, exponent, and mantissa fields respectively. Then the floating point number represented is (-D'+m 2 " if the exponent = 111111 0, otherwise What is the maximum difference between two successive real numbers representable in this system
4. The bfloat16 "brain floating point" format is a 16 bit format used in Google's machine learning and AI software. It is a binary floating point format which is very similar to the single precision IEEE-754 format: 1 bit is allocated for the sign, 8 bits for the exponent with a bias of 127, but only 7 bits are allocated for the fraction (the exponent is always chosen so that the first digit of the mantissa is 1, and then only the fraction is stored in memory). (a) What is the approximate decimal precision of a brain floating point? (b) If the bits are stored in the order: sign, exponent, fraction, and 0 corresponds to a positive sign, then calculate the decimal representation of the number stored as 1 00000110 0100010 (c) Given that the largest exponent actually used for numbers is 11111110, what is the largest number that can be expressed as a bfloat 16? (d) Supposing that numbers are truncated (rounded down), what is the maximum absolute rounding error in bfloat16?
Find the internal representation of the integer: 450 (in 32-bit memory location). Please, do not insert any blanks in your answer.
The following c# application builds a BitArray of five Byte values (1,2,3,4,5) and shows each byte in its correct binary form:
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.
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?
There are 2 numbers, X and Y in single-precision floating point representations. X=45B20000 and Y=B66C0000. Perform the multiplication operation on the two numbers using the floating-point number multiplication algorithm (the result is still in the floating-point format). Then convert each of them: X, Y and the results to a decimal number (fixed point).
Write down the bit pattern in the fraction of value1/3 assuming a floating point format that uses Binary Coded Decimal (base 10) numbers in the fraction instead of base 2. Assume there are 24 bits, and you do not need to normalize. Is this representation exact?
In this question, you are provided with a decimal floating-point number. You are asked to encode this value into its IEEE-754 floating-point representation in the form of 8 hexadecimal digits. If rounding is needed, use rounding to the nearest floating-point number. Do NOT add any spaces or commas to your answer. Represent, i.e., encode, 262148.140625 into a 32-bit single-precision IEEE-754 FP value. If rounding is needed, use rounding to the nearest FP number. Your answer MUST BE JUST 8 hexadecimal digits. Write each hexadecimal digit in a field by itself. B } Ox D R D = = }
Floating point calculation: a Show the IEEE 754 representation for the decimal value -0.375 in single precision b. Find the decimal representation for the following single precision floating point number 1011,1111,0111,0000,0000,0000,0000,0000 c. Perform the addition and multiplication of the two floating point numbers in (a) and (b) in binary scientific notation, and represent the sum and product in single precision.

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