Question

3) (30 points) Given three 8-bit unsigned inputs A, B, C, design a circuit that outputs 1 if the smallest absolute distance between any pair of values is less than 15 or greater than 50. Note: your circuit must work for any 8-bit unsigned numbers given in A, B, C. 18 18 18 - Assume that you have the following Datapath components available (unsigned only) - decoders, encoders, muxes, parallel load registers, adders, A B C subtractors, magnitude comparators, array style multipliers, shifters, and logic gates (NOT, AND, OR, NAND, NOR, ... for any n inputs (n is your choice)). - Properly connect all components and indicate bit-width of each wire (if more than 1 bit). Ex 1: If A = 108, B = 53 and C = 27, absolute distance between A and B = |A-B| or B-A| = 55 absolute distance between A and C = 81 absolute distance between B and C = 26 Since the smallest absolute distance is 26 which is NOT less than 15 or greater than 50, the output W=0. Ex 2: If A = 18, B = 25 and C = 72, absolute distance between A and B = |A-B or B-A/= 7 absolute distance between A and C = 54 absolute distance between B and C = 47 Since the smallest absolute distance is 7 which is less than 15, the 1-bit output W = 1.

Answer 1

А в с 8 bit comproutos MABIZ 15600001 ) xeyi A, B, C = 8 bit inputs W I bit output & maxim Y my smallest absolute value < 15 min (A,B) Smallest absolute value o w smallest absolute value> MA sbit comparator XXY x=Y min(All) 8 bit Subtractor 8 X-Y sbit comparator s 50 x xxy XY 5000 110010) Y xZyl sbit comparatory CA min(Abu) Y A + x BY X=Y min (A,B) 20 B-8T - means 8 2x1 muxog Here in this ciocnit 8 bit comportator there is no ocquirement of all like *>Y, *=Y,X&Y We required only X Y * Any Mistakes or improvements required please comment