A special 4–to–6-line decoder is to be designed. The input codes used are 000 through 101. For a given code applied, the output D_i, with i equal to the decimal equivalent of the code, is 1 and all other outputs are 0. Design the decoder with a 2–to–4-line decoder, a 1–to–2-line decoder, and six 2-input AND gates, such that all decoder outputs are used at least once.