Question

Problem:  Design a sequential system, using JK flip flops, that will have as inputs two binary data streams xa and xb (assume xa and xb are synchronized bit streams) and will output a detection (z = 1), whenever the sum of the last three bits in xa with the last three bits in xb is 7₁₀ = 111₂, for example: 101 + 010 = 111. The detection is with overlap. You may use any combinational logic and device but not a full adder.

HINT: This is example 7.3 using JK flip flops (instead of D flip flops) where the functionality has to be provided without the use of the adder.

Answer 1