Q4-A Design a special type of encoder which is shown in the following figure. This encoder works in such a manner where for each combination of inputs, 3 outputs are active high as shown in the mentioned truth table. Put down the Boolean expression for each output (D7, D6, D5,D4,D3,D2,D1DO) and sketch the logic gate matrix representation for the design. 1, 30 Decor D. -D -D -D -D -D -D D O O OG OC 12 11 lo D, DE D D4 D3 D2 D. Do o o o 1 o 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 OO Oo oo O O O OOO o O O O o OO Oo OO