Answered: What is 7373 as a normal-form, binary…

What is 7373 as a normal-form, binary fraction? a. 1.00101010…×2^−1 b. 10.0101010…×2^1 c. 10.0101010…×2^−1 d. 1.00101010…×2^1

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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Given a single-precision IEEE 754 representation of a floating point number as: 0x40700000, do the following: (a) Express the value of the S field in binary without spaces (count carefully). Do not abbreviate your answer. (b) Express the value of the E field in binary without spaces (count carefully). Do not abbreviate your answer. (c) Express the value of the F field in binary without spaces (count carefully). Do not abbreviate your answer.
Suppose .3A42 base 16 is converted to base 10. What is contributed by the hex digit 3 if the value in decimal of .3A2 base 16 is computed? a. 0.1875 b. 0.0390625 c. 0.00048828125 d. 0.22705078125
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What is 7/3 as a normal-form, binary fraction? a. 1.00101010…×2^−1 b. 10.0101010…×2^1 c. 10.0101010…×2^−1 d. 1.00101010…×2^1
07. The n-bitr fixed poist representation of an unsigned real number X uses f bits for the fraction part. Let i-n-fThe range of decimal values for X in this representation is
Problem F. 73154. Trailing zeros Input file: Output file: Time limit: Memory limit: standard input standard output 1 second 256 megabytes In this problem, you are given 8-bit number r. Find the number of trailing zeros in its binary representation. Trailing zeros are the ones that we encounter until the first 1-bit if we traverse the binary representation from right to left. For example, the binary representation of the mumber 96 is 01100000. Number of 0-bits until the first 1-bit is 5 (considering that we traverse the binary representation from right to left). Input The first line of input contains a single number z – 8-bit number (1
[4.1] Consider the number -1.36875 x 10¹ as the dividend and 5.625 x 10¹ as the divisor. a. Find their binary representation. b. Normalize the results that you got it in (A) and put them in the 8-bit quarter- precision format (1 for sign bit, 2 for exponent, and 5 for fraction). c. Implement the division and show all the steps of the division to results that you got it in (B). Show if there is an overflow or underflow by assuming that there is a guard bit, a round bit, and a sticky bit.
4) For IEEE 754 single precision floating point numbers, what is the exponent of a denormalized floating point number in decimal ? Question options: a. -126 b. -127 c. 126 d. 127 5) For IEEE 754 single precision floating point numbers, how many bits for mantisa? Question options: a. 7 b. 31 c. 23 d. 8 6) For IEEE 754 single precision floating point numbers, which of following is an example of NAN ? Question options: a. 1 111 1 111 0000 0000 1101 0000 0000 0000 b. 0 111 1 111 1000 0000 1101 0000 0000 0000 c. 0 111 1 111 1000 0000 0000 0000 0000 0000 d. 1 111 1 111 0000 0000 0000 0000 0000 0000 e. None of the above 7) Assume we use 8-bit cell to store floating point numbers, 1 bit for…
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14. For this question, mark all answers that apply. Assuming that i, j, and k are all 32-bit int and a, b, and c are all normal 32-bit float, and that no values go out of range, which of the following must be true? a* (b*c) = (a*b)*c If a>0 and b>0, then (a+b) >a i+(j+k) i*(j*k) (i+j)+k == == == (i+j)+k (i*j)*k k+(j+i)
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Consider the following floating point representation where each number has 2exponent bits and 5 fraction bits. The exponent bias is 1. Round each number tohave 3 fraction bits. Apply round-to-even and round-toward-zero modes.a. 1 10 11100b. 0 00 00101c. 1 01 10101i. Can you see a pattern for rounding floating point numbers when thenumber of exponent bits are intact?