Logic gates may be used to translate binary numbers into a decimal number on a 7-segment display.

a) 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 (0).

b) Choose the g-segment and design a logic circuit that will light up that segment at the right times. An example of the logic for the a-segment is shown below. We start with the truth-table for segment a.

c) The solution, shown below, one of the solutions for a-segment. Many other solutions, some possibly more efficient, are possible. Draw the logic diagram for g-segment.

Segment a will be on when (D3 = 1 OR D1 = 1) OR (D2 = 0 AND D0 = 0) OR (D2 = 1 AND D0 = 1)

THANKS!

Binary Code for # segment:s 3 1 00 01 0 110 000 1101 10 1 300 40 100 10 0 0 9 1 0 01 Binary Code for # D3D2 D1 DO segment 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 D3 D1 D2 DO_