**Error-Correcting Code for Memory Words of Length 10**Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10.**a. How many parity bits are necessary?**---**b.** Assuming we are using the Hamming algorithm presented in this chapter to design our error-correcting code and an **odd parity**, find the code word to represent the 10-bit information word:\[ 1 \ 0 \ 0 \ 1 \ 1 \ 0 \ 0 \ 1 \ 1 \ 1 \]---**c.** We now receive the following code word:\[ 1 \ 0 \ 1 \ 0 \ 1 \ 1 \ 0 \ 0 \ 0 \ 0 \ 1 \ 0 \ 1 \ 1 \]Is this a legal code word, assuming an odd parity? If not, what is the corrected code word? (Which bit is the error bit?)

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Answered: Suppose we want an error-correcting…

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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[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.
The following is a string ASCII characters whose bit patterns have been converted into hexadecimal for compactness: CD 69 E4 54 E5 72 6D Of the eight bits in each pair of digits, the left most is a parity bit and the remaining bits are the ASCII code. Convert the string to bit form and decode the word in ASCII. What is the parity for each letter of the word?
Assume we have a 2's complement system with an 8-bit whole number part and a 2-bit fractional part. Find a decimal representation of 2's complements binary number 1110 0010.01 it expects a numeric entry. It will automatically suppress leading and trailing zeros. It will display your answer with commas every third digit.
What decimal value does the 8-bit binary number 10010010 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?
5. Hamming Codes a) Suppose we want an error correcting code that will allow all single-bit errors to be corrected for memory words of length 15. How many check bits are necessary? b) Suppose we are now working with memory words of length 8. We have already calculated that we need 4 check bits, and the length of all codewords will be 12. We now receive the following code word: 010011011111 Is this a legal codeword, assuming even parity? If not, where is the error?
In single precision (IEEE-754 standard), 8 bits are used for storing the exponent (the bias is 127), and 23 bits are used for storing the mantissa. (a) What are the smallest and the largest positive numbers that can be stored in single precision? (b) What is the smallest value of the mantissa that can be stored?
H - For the IEEE 754 single-precision floating point, write the hexadecimal representation for the following decimal values: (i)–1.0 (ii)– 0.0 (iii)256.015625
To solve this problem, you must create a program in MIPS(MARS) that takes an 8-bit binary number and returns it as a binary-coded decimal (BCD).

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Suppose we want an error-correcting code that will allow all single-bit errors to be corrected for memory words of length 10. a. How many parity bits are necessary?