A digital system has four onebit inputs D, C, B, A, and an output F. The input represents a 4bit number in the range 0 to 15, where A denotes the leastsignificant bit. The output F is true if the binary input is divisible by 3, 4, or 7. Construct a truth table to represent this system and construct a logic circuit to implement it using MMLogic and test the output.

DCBA+DCBA+ DCBA+ F = C-B + C-A + D-B-A + D-C-B C.B C.A D.B.A