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1. What is the maximum number of codewords of length 4 in an instantaneous binary code containing...
Consider the (5,2) linear binary code, C, with linear space of codewords spanned by the codewords...
Consider the (5,2) linear binary code, C, with linear space of codewords spanned by the codewords (1, 0, 1,1, 1) and (0, 1, 1, 1, 0). 4. Find all codewords in C, find the systematic generator matrix, G, and a parity check matrix, H, for the code. a. Determine dmin for the code and the code's weight distribution. Determine all codewords in the dual code, Cd . Find a systematic generator matrix, Ga, for the dual code, and corresponding parity...
Data Structures and Algorithms What is the: a. maximum number of levels that a binary search...
Data Structures and Algorithms What is the: a. maximum number of levels that a binary search tree with 100 nodes can have? b. minimum number of levels that a binary search tree with 100 nodes can have? c. maximum total number of nodes in a binary tree that has N levels? (Remember that the root is level 0.) d. maximum number of nodes in the Nth level of a binary tree? e. number of ancestors of a node in the...
Clarence Clueless has settled on a code that takes 2 bits, and transmits a codeword created...
Clarence Clueless has settled on a code that takes 2 bits, and transmits a codeword created by repeating the bit pair 3 times. a) How many valid codewords are in this code? b) If a maximal likelihood decoder is used, and 1 0 1 0 0 0 is received, what is the most likely valid codeword to have been sent? c) What two bit input to the transmitter would have caused this most likely valid codeword to...
What is the maximum number of comparisons made when searching a 60 element array with Binary...
What is the maximum number of comparisons made when searching a 60 element array with Binary Search? 60 30 5 6 Question 3 (3 points) What is the average number of comparisons made when searching a 60 element array with Linear Search? 06 5 A selection sort algorithm is used to sort an array containing the following values into ascending order. Give the order of the elements after each pass of the sorting algorithm. 6 4 7 2 3 5...
19. 1 mark) What is the Nyquist sampling rate for a band-pass signal with a bandwidth...
19. 1 mark) What is the Nyquist sampling rate for a band-pass signal with a bandwidth of 300kHz if the lowest frequency is 100kHz? 20. 1 mark) In a block code, the codeword is 8 bits long. How long is the dataword if the number of valid codewords in this block are 64? How many codewords exist in total?
A source emits eight messages with probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/12...
please, solve ASAP. Thank you.
A source emits eight messages with probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/128, respectively. Find the entropy of the source. Obtain the compact binary code and find the average length of the codeword. Determine the efficiency and the redundancy of the code.
A source emits eight messages with probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/128, respectively. Find the entropy of the source. Obtain the compact binary code and find...
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of...
Trees and Heaps 1. Show that the maximum number of nodes in a binary tree of height h is 2h+1 − 1. 2. A full node is a node with two children. Prove that the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree. 3. What is the minimum number of nodes in an AVL tree of height 15? 4. Show the result of inserting 14, 12, 18, 20, 27, 16,...
Let G- be a generator matrix for a block code (not necessarily a "good" code) a) b) c) What is th...
Let G- be a generator matrix for a block code (not necessarily a "good" code) a) b) c) What is the n, k, the rate and the bandwidth expansion for this code? Find the parity check matrix H )Build the standard array for the code. Assume the coset leaders are vectors with one "l", starting from the left side of the vector, i.e., the first coset leader will be (1 0...), the second (01 0 ...) starting again from the...
Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p...
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Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p 0 0 Alice (encoder) Bob (decoder) 1 1-P Figure 1 The Binary symmetric channel where the probability of a bit being wrongly decoded by Bob is p i) Two codes are proposed: a...
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...
Consider the (5,2) linear binary code, C, with linear space of codewords spanned by the codewords (1, 0, 1,1, 1) and (0, 1, 1, 1, 0). 4. Find all codewords in C, find the systematic generator matrix, G, and a parity check matrix, H, for the code. a. Determine dmin for the code and the code's weight distribution. Determine all codewords in the dual code, Cd . Find a systematic generator matrix, Ga, for the dual code, and corresponding parity...
What is the maximum number of comparisons made when searching a 60 element array with Binary Search? 60 30 5 6 Question 3 (3 points) What is the average number of comparisons made when searching a 60 element array with Linear Search? 06 5 A selection sort algorithm is used to sort an array containing the following values into ascending order. Give the order of the elements after each pass of the sorting algorithm. 6 4 7 2 3 5...
19. 1 mark) What is the Nyquist sampling rate for a band-pass signal with a bandwidth of 300kHz if the lowest frequency is 100kHz? 20. 1 mark) In a block code, the codeword is 8 bits long. How long is the dataword if the number of valid codewords in this block are 64? How many codewords exist in total?
please, solve ASAP. Thank you.
A source emits eight messages with probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/128, respectively. Find the entropy of the source. Obtain the compact binary code and find the average length of the codeword. Determine the efficiency and the redundancy of the code.
A source emits eight messages with probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/128, respectively. Find the entropy of the source. Obtain the compact binary code and find...
Let G- be a generator matrix for a block code (not necessarily a "good" code) a) b) c) What is the n, k, the rate and the bandwidth expansion for this code? Find the parity check matrix H )Build the standard array for the code. Assume the coset leaders are vectors with one "l", starting from the left side of the vector, i.e., the first coset leader will be (1 0...), the second (01 0 ...) starting again from the...
I need it urgently. Kindly provide me in neat and clean. Thanks
in advance.
This information is complete and if You think info is incomplete
than kindly mention.
Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p 0 0 Alice (encoder) Bob (decoder) 1 1-P Figure 1 The Binary symmetric channel where the probability of a bit being wrongly decoded by Bob is p i) Two codes are proposed: a...
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...
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