1. (6 points) Consider a circuit that accepts a 4-bit binary number as input (X) and produces a 2-bit binary number as output (Y). The relationship between the input and the output is as follows: X. Denote the individual bits of the . X1, and Xo, where Xs is the most significant bit and Xo is the least (a) (3 points) Derive the truth table for Y as a function of 4-bit input as X3, X2, Xo significant bit. Similarly, denote the bits of the 2-bit output as Yi and Yo. Output Yi Input Yo (b) (3 points) Derive a minimal sum-of-products form of Y using K-Map method