Math in DigiComm

Question

Question

Let code $C$ be

$C = {01011010, 11000001, 01010101}$ .

What is the minimum distance of code $C$ ?

Answer 1

Similar Homework Help Questions

Let C be the code generated by the matrix [1 0 0 11 G= 0 1...

Let C be the code generated by the matrix [1 0 0 11 G= 0 1 0 2 over Fz. Lo 0 1 1] (i) How many codewords will have, and why? (ii) Give three distinct codewords of C and find their Hamming weights. (iii) List all the steps required for finding the minimum distance of any code. 7
Let C' be a binary code of length n and distance d 2t +1. Prove that 2"

Let C' be a binary code of length n and distance d 2t +1. Prove that 2" Let C' be a binary code of length n and distance d 2t +1. Prove that 2"
2. There are 26 characters in the alphabet we use for writing English. What is the...

2. There are 26 characters in the alphabet we use for writing English. What is the least number of bits needed to give each character a unique bit pattern? How many bits would we need to distinguish between upper- and lowercase versions of all 26 characters? (12 points) What is the largest positive number one can represent in an 8-bit 2's complement code? Write your result in binary and decimal. a. What is the greatest magnitude negative number one can...

ASCII (American Standard Code for Information Interchange) is a coding system that can be used to...

ASCII (American Standard Code for Information Interchange) is a coding system that can be used to represent characters. Explain how ASCII is used to represent text in a computer system. Unicode is also used to represent text in a computer system. Explain the difference between the character sets of Unicode and ASCII Convert the word CAB into binary using the ASCII character set. What character string does the binary ASCII code. 01010011 01000101 01010101
In the IEEE-754 floating point number below, what do the underlined bits represent? 0 01011010 10001001001111000000000

In the IEEE-754 floating point number below, what do the underlined bits represent? 0 01011010 10001001001111000000000
Homework: Homework (Section 2.5) Score: 0 of 1 pt 9 of 9 (8 complete) 2.5.30-PS Developers from t...

Homework: Homework (Section 2.5) Score: 0 of 1 pt 9 of 9 (8 complete) 2.5.30-PS Developers from two towns, A and B, want to connect their towns to a highway. To minimize the cost of construction, the developers must find the location for the highway entrance that minimizes the total distance, d1 d2, from the two towns to the highway. Let x be as shown. Find both the value of x that solves the developers' problem and the minimum total...

1. Channel Coding We would like to add linear block code (3,6) using the generator matrix:...

1. Channel Coding We would like to add linear block code (3,6) using the generator matrix: 1 001 01 G-0 1 0 0 1 1 (a) (5 points) Determine the parity check matrix H (b) (20 points) What is the minimum distance of this code? How many error can this code correct? (c) (5 points) What is the code word for the data sequence 011000101111? (d) (20 points) If you receive the codeword 010001000010101010, what is the transmitted sequence?
4. Let C be the code consisting of the solutions to the matrix equation Ax =...

4. Let C be the code consisting of the solutions to the matrix equation Ax = 0, where 0 1 1 1 O 0 1 1 1 0 1 1 1 0 0 0 1 A = 1 Determine the codewords of C, and determine the distance and error cor- rection capability of C 4. Let C be the code consisting of the solutions to the matrix equation Ax = 0, where 0 1 1 1 O 0 1 1...
1. (30 points) Consider the systematic binary linear (6,3) code with generator matrix 1 0 01...

1. (30 points) Consider the systematic binary linear (6,3) code with generator matrix 1 0 01 1 0 G- 0 1 0 0 1 1 a) Determine the parity check matrix H of the code. b) What is the minimum distance of the code? How many errors can this code correct and detect? c) Show the results in b) using decoding table d) Find the most likely codeword, given that the noisy received codeword is 010101. e) Now suppose 001101...

Modify the following assembly code section in order to make: The pins 0 and 1 of...

Modify the following assembly code section in order to make: The pins 0 and 1 of PORTA inputs. All PORTB pins outputs, PORTB pins 7, 5, 3 & 1 have the logic value 1. BCF ST ATUS.RP0 MOVLW b'00000000' MOVWF TRISA MOVLW b'10101010 MOVWF TRlSB BSF STATUSRP0 MOVLW b'01010101 MOVWF TRtSB The register which indicates that exact part of the execution sequel where the program is running is called? Write just the assembly code section to evaluate the sum of...