Assume that X consists of 3 bits, x2 x1 x0, and Y consists of 3 bits, y2 y1 y0. Write logic functions that are true if and only if
■ X < Y, where X and Y are thought of as unsigned binary numbers
■ X < Y, where X and Y are thought of as signed (two’s complement) numbers
■ X = Y

Use a hierarchical approach that can be extended to larger numbers of bits. Show how can you extend it to 6-bit comparison.