Listen Which of the following addition problems cannot be solved accurately when using a floating-point system in which each value is encoded by a byte whose most significant bit is the sign bit, the next three bits represent the exponent field in excess notation, and the last four bits represent the mantissa? A. 21/2+1 3/8 B. 3 1/2+4 1/2 C. 7+3/4 A only A and B B only A, B, and C

Listen Which of the following addition problems cannot be solved accurately when using a floating-point system in which each value is encoded by a byte whose most significant bit is the sign bit, the next three bits represent the exponent field in excess notation, and the last four bits represent the mantissa? A. 21/2+1 3/8 B. 3 1/2+4 1/2 C. 7+3/4 A only A and B B only A, B, and C

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter8: Data And Network Communication Technology

Section: Chapter Questions

Problem 31VE

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Please answer both part a and b of this question. If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent, and a 4-bit significand: a) What is the largest positive and the smallest positive number that can be stored on this system if the storage is normalized? (Assume that no bits are implied, there is no biasing, exponents use two’s complement notation, and exponents of all 0s and all 1s are allowed.) b) What bias should be used in the exponent if we prefer all exponents to be non-negative Why would you choose this bias?
We are provided an FP prototype labeled: IEEE 754-2015 of 15 bits similar to IEEE 754, where the exponent has size 6 bits and fraction has size 8 bits, and 1 MSB for the sign. No guard or round bits are assumed. What is the bias of the system? Find the smallest and largest number that can be represented. Find the new representation of the decimal number you worked with earlier (e.g., the 0.012).
2. (a) What is a single error and burst error? Explain with an example. (b) Find the Hamming code of the following bitstream using even parity. 11011111010111010101110111000010
Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 12. a) How long should the check bits and why? b) Code words are created according to the Hamming Algorithm presented in the text. We now receive the following code word: 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 Assuming even parity, is this a legal code word? If not, according to our error-correcting code, where is the error? PLEASE SHOW ALL WORKING UNDERSTANDABLE THANK YOU
Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 12. a) How long should the check bits and why? b) Code words are created according to the Hamming Algorithm presented in the text. We now receive the following code word: 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 Assuming even parity, is this a legal code word? If not, according to our error-correcting code, where is the error?
Please solve only 4 part rest are already answered This problem covers floating-point IEEE 754 format. 1)List four floating-point operations that cause NaN to be created? 2) In the 32-bit (single precision) IEEE 754 format, what is the encoding for negative zero? 3) In the 32-bit (single precision) IEEE 754 format, what is the encoding for positive infinity? 4) Assuming 32-bit (single precision) IEEE 754 format, what decimal number is represent by this word: 1 01111101 00100000000000000000000
a) Determine the 32-bit binary representation for floating point numbers in the form± I.F x be where I is the interger part,F is the fraction,b is the base, ande is the exponent.Using this format, represent the number -1.00011011101 x 225 as a 32 bit floating point number. b) During the process of digital sampling, data can be lost due to aliasing. Analyse this problem and provide at least two possible solutions. Also, determine the rate at which a signal should be sampled, if the highest frequency is 60MHz. c) In your own words, discuss the relationship between the hexadicimal number system and the binary number system. Use this relationship to convert the following hexadecimal values to binary.i) 5BC916 ii) 6EF816 iii) 8A4D16 iv) 9ED516
4, in the fixed-point machine, the following statement is wrong ( ).A. In addition to the complement, the original code and the inverted code cannot indicate that the original code of −1 B. +0 is not equal to −0C. the inverse of +0 is not equal to the negative of −0 D. For the same machine word length, the complement code can represent a negative number more than the original code and the inverted code.
Show Steps Please 18. If the floating-point number representation on a certain system has a sign bit, a 3-bit exponent and a 4-bit significand: a) What is the largest positive and the smallest positive number that can be stored on this?system if the storage is normalized? (Assume no bits are implied, there is no biasing, exponents use two's complement notation, and exponents of all zeros and all ones are allowed.) b) What bias should be used in the exponent if we prefer all exponents to be non-negative? c) Why would you choose this bias?
Question 23 options: Using the rules of the simple floating point model (1-bit sign, 5-bit biased exponent, 8-bit significand, and normalized such that the leftmost bit of the significand is always 1), the number 8.4375 (decimal) can be expressed as: (Do not use spaces or any English text. Provide only 14 bits.)
Kindly answer the following questions. j. The one thing that causes the most trouble with 2's complement numbers is the special case of the negative number which consists of a 1 followed by all 0's (1000 ... 000). If this number is n bits long, what number does it represent and why? (It is not negative zero.) a. Represent 187 in BCD code, excess-3 code, 6-3-1-1 code, and 2-out-of-5 code.
Suppose we are working with an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 7. We have already calculated that we need 4 check bits, and the length of all code words will be 11. Code words are created according to the Hamming algorithm presented in the text. We now receive the following code word: 1 0 1 0 1 0 1 0 1 1 0 Assuming odd parity, is this a legal code word? If not, according to our error-correcting code, where is the error?