Please explain it out as you go so that i can read it, follow along and learn

4. Logic gates may be used to translate binary numbers into a decimal number on a 7-segment display. a) (10 points ) Complete the following truth table showing which digits should be lit for each decimal number on a 7-segment display, given the binary digits for the decimal number. The first three rows have been filled out for you. Note that all you have to do is determine which segments are on (1) and which are off (O). # Binary Code for # segments D3 DO d a b d e 9 D2 DI O O O O O O f 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 2 0 0 1 0 1 1 0 1 1 0 3 0 0 1 1 1 4 0 1 0 0 ONUNCUUN 0 5 0 1 0 4 S 6 1 1 6 0 1 1 0 1 7 0 1 1 1 1 00 1 0 0 0 1 9 1 0 0 1 1 b) (5 points) Choose the g-segment and design a logic circuit that will light up that segment at the right times