If we use the 128-bit binary field extension F 128 to decode the 127-bit binary BCH code at a distance of 6, we get a total of 127 bits. How large is the code, and is there a minimum distance you can guarantee?

If we use the 128-bit binary field extension F 128 to decode the 127-bit binary BCH code at a distance of 6, we get a total of 127 bits. How large is the code, and is there a minimum distance you can guarantee?

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter8: Data And Network Communication Technology

Section: Chapter Questions

Problem 41VE

See similar textbooks

Related questions

Q: lpful to find binary code of different decimal numbers and alphabets etc. You have to consider 65…

A: ASCII Codes can be helpful to find binary code of different decimal numbers and alphabets etc. You…

Q: If you have a codeword set that has a hamming distance of at least 13 between all codewords, then…

A: The Hamming distance between two codewords is simply the number of bits that are disparate between…

Q: Take into consideration the binary BCH code, which is 127 bits long and has a distance of 6 bits…

A: Introduction: BCH protocols, also known as Bose Chaudhuri Hocquenghem protocols, were categorised as…

Q: How many eight-bit binary strings contain exactly 3 1s? How many eight-bit binary strings contain…

A: The question has been answered in step2

Q: What is the Huffman code for a string consisting entirely of letters from a two-character alphabet?…

A: Huffman coding is an algorithm for lossless data compression that assigns variable-length codes to…

Q: Answer this question using the method in lecture for estimating bitlength. The bitlength of

A: (37002)8 = 15874 <-- In decimal (144)8 = 100 <-- In decimal 15874 = (11111000000010)10 =14…

Q: What is the largest binary number that can be expressed with: (a) 8 bits, (b) 10 bits, (c) 16 bits.…

A: The largest possible number is all bits filling with 1 1 1 1 1 1 1 1 1 Binary value = 11111111…

Q: In a two's complement number system, x &= (x-1) deletes the rightmost 1-bitin x. Explain why.…

A: #include<stdio.h> int count_bits(unsigned a); int main(void) {…

Q: What is the exact number of bytes in a system that contains (a) 32K bytes, (b) 64M bytes, and (c)…

A: In computer works, 210 is referees as K (kilo) , 220 as M (Mega),and 230as G (Giga)a) Find the exact…

Q: + | SE E E EE E m m m m т m m m m it of the exponent is dedicated to its sign. Assume that the…

A: The Answer is

Q: se conversion: Gray code to binary X1 = 10101111. From the result obtained, apply a co

A: Ans. Binary codes.Perform the following base conversion:Gray code to binary X1 = 10101111.From the…

Q: How many bitstrings of length 10 contain at least three 1s and three 0s

A: SUMMARY In this question, we have to find the bit strings which have at least three 1’s and at least…

Q: You have 10 temperature sensors, each which can express a temperature from -60 to +120 C. Only…

A: We need to find the number of bits required for the given scenario.

Q: In an 8-bit binary number, which is the most significant bit (MSB)? What is the decimal…

A: Note: It's good to see that you want to learn, all these are great questions!! but according to…

Q: The number 12.410 is to be written using the closest 8-bit unsigned binary representation. i.Show,…

A: solution:

Q: An 8-bit byte with binary value 10101111 is to be encoded using an even-parity Hamming code. What is…

A: The encoded value is 101001001111

Q: Take into consideration the binary BCH code with a length of 127 and a distance of 6 that makes use…

A: A binary BCH (Bose-Chaudhuri-Hocquenghem) code with a length of 127 and a distance of 6 in the…

Q: We can perform logical operations on strings of bits by considering each pair of corresponding bits…

A: A = 10110001 and B = 10101100 C as a Result Starting from least significant bits of both Strings…

Q: Consider the binary BCH code with length 127 and expected distance 6 using the binary field…

A: Introduction: The BCH codes, abbreviated for Bose–Chaudhuri–Hocquenghem codes, are cyclic…

Q: We can perform logical operations on strings of bits by considering each pair of corresponding bits…

A: A = 10110001 and B = 10101100 Starting from least significant bits of both Strings and…

Q: So i have to find the minimum hamming distance of a binary code c={1001, 0111, 1110, 1100, 0000,…

A: Determine the minimum hamming distance in the binary code.

Q: Take into consideration the binary BCH code, which is 127 bits long and has a spacing of 6 bits, and…

A: Cyclic error correction FEC, which is constructed using a polynomial on a constrained field, also…

Q: You are given two bit locations, i and j, together with the 32-bit values N and M. To insert M into…

A: Three important measures may be taken in order to solve this issue:1. Remove bits j through I from…

Q: Add the following two 8-bit Tom's floating-point format numbers and give the answer in both signed…

A: Introduction: The use of floating-point representation greatly simplifies the numerical calculation.…

Q: If we use the 128-bit binary field extension F 128 to decode the 127-bit binary BCH code at a…

A: The 127-bit binary BCH code with a distance of 6 can correct up to 2 errors. If we use the 128-bit…

Q: Convert the decimal number (1249)10 to its equivalent binary, hexadecimal, and octal (base 8). What…

A: To convert the decimal number to its equivalent binary, hexadecimal, and octal number. The base of…

Q: Cs The redundant bit offers a simple error correction. Example The sixth digit in the ISBN 0 – 7923…

A: Our Task: There is six digit in the ISBN but one of them is faded out. So we have to find out the…

Q: Using the Hamming code given in classfor 8 bit data words, determine whether there is an error, and…

A: please see the next step for solution

Q: We are given a number Ob1100_0000 represented in a 8-bit system. Prob 2. Answer the following…

A: The question involves analyzing a binary number (0b11000000) in both 8-bit and 16-bit systems. It…

Q: Consider a 6-bit two’s complement representation. Fill in the box with question mark "?" in the…

A: In the Given Question we represent binary and decimal representation of Given Number

Q: given below: 1, 11110 amming distance c

Q: Assume that D has the value 1010101010 and that the 5-bit generator G=10011 is used. What does R…

A: a) To calculate the remainder R, we perform the modulo-2 division of D by G: 1010101010…

Q: There are multiple schemes that can be used to represent integers in binary, including 1. Assuming…

A: The range of 2's complement number is { -2n-1 to +2n-1 - 1 } where n is the number of bits.

Q: Consider the binary BCH code of length 127 with intended distance 6 utilizing the binary field…

A: Introduction: The BCH codes, abbreviated for Bose–Chaudhuri–Hocquenghem codes, are cyclic…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Solution:

VIEW

Step 2: What a binary BCH code is and how it can be decoded using a binary field extension.

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

If we use the 128-bit binary field extension F 128 to decode the 127-bit binary BCH code at a distance of 6, we get a total of 127 bits. How big is the code, and is there a guaranteed minimum separation?
solve by using name Hussnain Jaffar
Take into consideration the binary BCH code with a length of 127 and a distance of 6 that makes use of the binary field extension F 128 with a size of 128. What exactly is the amount of the code, and can you guarantee a certain minimum distance?
Take into consideration the binary BCH code, which is 127 bits long and has a distance of 6 bits intended for it, and use the binary field extension F 128, which is 128 bits in size. How big is the code, and can you guarantee a certain minimum distance between entries?
An 8-bit byte with binary value 10101111 is to be encoded using an even-parity Hamming code. What is the binary value after encoding? ANS: The encoded value is 101001001111 Why is this answer longer from binary value? Please solve this question with details. Please explain why you use that method.
You are given two bit locations, i and j, together with the 32-bit values N and M. To insert M into N, provide a procedure that starts M at bit j and finishes it at bit i. It is safe to presume that all of M can fit in the bits j through i. In other words, you may infer that there are at least 5 bits between j and i if M = 10011. M could not completely fit between bit 3 and bit 2, thus you would not, for instance, have j = 3 and i = 2.
What is the exact number of bytes in a system that contains (a) 32K bytes, (b) 64M bytes, and (c) 6.4G bytes?What is the largest binary number that can be expressed with 14 bits? What are the equivalent decimal and hexadecimal number?Perform subtraction on the given unsigned binary numbers using the 2’s complement of the subtrahend. Where the result should be negative, find its 2’s complement and affix a minus sign.(a) 10011 - 10010 (b) 100010 - 100110(c) 1001 - 110101 (d) 101000 – 10101Convert the decimal number 431 to binary in two ways: (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. Which method is faster?
ASCII Codes can be helpful to find binary code of different decimal numbers and alphabets etc. You have to consider 65 and its equivalent code of 16 bits will be considered for bit sequence and a divisor for CRC. Follow this process; first 8 bits will be used for data while next 4 bits will be used for divisor (if there are 4 zeroes in your case then replace with 1001), neglect last 4 bits. Also check your answer.
Consider the binary BCH code with length 127 and expected distance 6 using the binary field extension F 128 with size 128. What is the length of the code, and can you guarantee a minimum distance?
How many bitstrings of length 10 contain at least three 1s and three 0s?
Using the Hamming code given in classfor 8 bit data words, determine whether there is an error, and if so, in which bit, for each of the following words fetched from memory: A.0010 0011 0010 B.0110 0011 1010
Take into consideration the binary BCH code, which is 127 bits long and has a spacing of 6 bits, and use the binary field extension F128, which is 128 bits in size. How big is the code, and can you ensure a certain minimum space between entries?