8. The generator polynomial is given by X¹+X³+1. (a) Encode the data bits, 00111011001, using CRC. (b) Assume that bit 7 in the received coded word is in error. Show the error detection.

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(b) A floating point number has the 12 bit binary sequence 1011 11011101. The first four bits are for the exponent, which has a bias of 7, and the next eight bits are for the mantissa, with no hidden bit and its leading bit is the sign bit, (i) (ii) What decimal number does this binary sequence represent? In this resulting decimal number, how many digits can you trust?

Construct a truth table in standard binary form for a function of four variables,F(W,X,Y,Z) = ABC,where ABC is the signed 3-bit sum of the signed 2-bit numbers WX and YZ.