6. The following figure represents a relative magnitude detector that takes two three-bit BINARY numbers X2 X1 X0 and y2 yi yo and determines whether they are equal and, if not, which one is larger. There are three outputs, defined as follows: a M-1 only if the two input numbers are equal b. N=1 only if x2 x1 xo is greater than y2 yı yo C. P-1 only if X2 X1 Xo is lesser than y2 yı yo M (x=y) Binary number x Хо Relative .magnitude detector N (x > y) Binary Y2 number Y1 P (x <y) Y Yo LSB Design the logic circuitry for this detector. The circuit has six inputs and three outputs.