For the given generator matrix. 0 G = 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 A. Create a table (message "ml, m2, ..." and codewords "c1, c2,....") for the mapping scheme B. What is the bit-error detection capability? C. Determine the syndrome if the received codeword is: (a) 1010111 (b) 1001111

The following expressions of X and Y are accurate representations of the implementation under using an active-high decoder and two OR gates. Select one: O a. True O b. False X(a,b,c) = abc' + abc + ab'c + a'bc Y(a, b, c) = a'bc + a'b'c + ab'c + abc b 5 6 7 X

Consider a hypothetical 8 bit floating point machine representation with a sign bit, a 3 bit exponent, and a 4 bit mantissa (se1e2e3b1b2b3b4), where the exponent bias is 3 (add 3 to exponent of number to form machine representation). Recall that actual mantissa has 5 bits, since the leading 1 is not stored on the machine. (a) What is the number ?≈2.718 in this 8-bit format? (b) What is the number that (10100111)2 represents in this 8-bit format? (c) What is the upper bound of the relative error when representing a real number in this 8-bit format?

Does the Hamming code follow a particular pattern? Explain