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% Given generator matrix G G = [1 1 0 0 1 0 1; 0 1 1 1 1 0 0; 1 1 1 0 0 1 1]; % Initialize G_prime with zeros G_prime = zeros(size(G)); % Perform row operations to get systematic form for i = 1:size(G, 1) % Find the index of the leading 1 in the current row leading_1_index = find(G(i,:) == 1, 1); % Update G_prime with the current row G_prime(i, :) = G(i, :); % Perform row operations to get zeros below the leading 1 for j = 1:size(G, 1) if j ~= i factor = G(j, leading_1_index); G(j, :) = mod(G(j, :) - factor * G(i, :), 2); end end end % Display the systematic form of the generator matrix G' disp('Generator Matrix G'' for Systematic Code C'''); disp(G_prime);
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