Let C = {X, Y, Z, W} be a code whereX = 00000,Y = 01101, 2 = 10110, W = 11011 are its codewords. Consider thefollowing statements.(1) The distance of the codeword X to all other codewords is 3.(2) d(X, Y) = d(Y, W)Which of the following statement is correct? Let C = {X, Y, Z, W} be a code whereX = 00000, Y = 01101, Z = 10110, W = 11011 are its codewords. Consider thefollowing statements.(1) The distance of the codeword X to all other codewords is 3.(2) d(X,Y)= d(Y, W)Which of the following statement is correct?O Only statement (2) is TRUE.O Only statement (1) is TRUE.OBoth statements are FALSE.Both statements are TRUE.

This is a question of finite math.

Answered: Let C = {X, Y, Z, W} be a code where…

Let C = {X, Y, Z, W} be a code where X=00000, Y = 01101, Z = 10110, W = 11011 are its codewords. C following statements. (1) The distance of the codeword X to all other codewords is 3. LOW V JY WZY

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.5: Mathematical Induction

Problem 27E

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Question

Let C = {X, Y, Z, W} be a code where X = 00000,Y = 01101, 2 = 10110, W = 11011 are its codewords. Consider the following statements. (1) The distance of the codeword X to all other codewords is 3. (2) d(X, Y) = d(Y, W) Which of the following statement is correct?