Let X be a four-bit quantity with bits X3, X2, X1, and xo. X3 is the most significant bit (MSD). Let us define four Boolean functions as follows: A is true iff all the bits of X are the same. B is true iff X modulo 5 == 1, when X is interpreted as an unsigned 4-bit integer. C is true iff abs(X) > 6, when X is interpreted as a 4-bit 2's- complement integer. D is true iff X, when interpreted as an unsigned 4-bit integer, is zero. (a) Give a truth table that shows the values of A, B, C, and D. (b) Give Boolean formulas for A, B, C, and D