Suppose minimum hamming distance between pair of codewords is 6. Assume that number of bits error that can detected and corrected is x and y. Find 10x+y
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- Use Huffman code to demonstrate that a variable length encoding scheme can be used to compress the following message: rammer_jammer_yellow_hammer_give_them_h_alabama How many bits were saved over a MINIMAL FIXED LENGTH encoding scheme?Let be the discrete source on the alphabets {I, B, D, R, .} which defines a series of 5 possible characters. These characters occur with probabilities of: I= 0.3, B=0.25, D=0.2, R=0.15 and . = 0.1. c) Find the number of bits/symbol in this encoding technique. d) Show how your solution would be decoded.A block of bits with n rows and k columns uses horizontal and vertical parity bits for error detection. Suppose that exactly 4 bits are inverted due to transmission errors. Drive a mathematical expression of n and k for the total number of different cases where these 4 error bits will be undetected. Show each important step of your derivation. (Hint: the error bits will be undetected if all the parity bits computed from the block remain unchanged.)
- Let A be the set of all strings of 0's and 1's, and let T be the set of all strings of 0's and 1's that consist of consecutive triples of identical bits. Consider the coding and decoding functions E and D defined below : Find E (0110) and D (111111000111). E (0110)=? D (111111000111)=?Suppose a binary message word is to encoded using a repetition code where every bit is to be repeated thrice. Which of the ff received word is free of any error 1. 101 101 101 101 2. 111 001 000 111 3. 111 101 111 000 4. 111 000 111 000A bit string contains 1's and 0's. How many different bit strings can be constructed given the restriction(s)? Length is 20. Has exactly six 1's in the first half. Has exactly three 1's in the second half.
- To what extent may a message's parity bits be deduced?A 12-bit (8,4) Hamming code whose hexadecimal value is 0xE4F arrives at a receiver. What was the original value in hexadecimal? Assume that not more than 1 bit is in error.A bit stream 10011101 is transmitted using CRC method. The generator polynomial is x^3 + 1. Show the actual bit string transmitted. Suppose the third bit from the left is inverted during transmission. Show that this error is detected at the receivers end.
- A repetition code is an [n, 1] Code in which the n - 1 parity bits are repetitions of the information bit. Is this repetition code a linear code ? What is the minimum distance of the code ?please given step by step solution.To what extent may a message's parity bits be used to detect errors?Computer Network : Suppose 3 blocks of 16 bits need to be sent, using Checksum method proves the following cases: When there is no error When there is a burst error and detected. When there is a burst error and remains undetected Block 1: 1011101110101011 Block 2: 0101000011111010 Block 3: 0111010110101010