Hexadecimal Decoder (Seven Segment)

You may use a seven segment to show time, temperature, voltage, etc. But, when you want to use it as an interface, specially on a simple computer, usual decoders (e.g. 7447) are not the best choice. You may need a shift-register or you may need to make a specific decoder for your computer display.  If you watch Ben Eater’s video about EEPROM,  You will find an Electrical Erasable ROM can be your decoder. But how? Imagine we have a common-cathode seven segment display. Then, We will have something like this for number zero :

dp g f e d c b a
0 0 1 1 1 1 1 1

So,  if we want to show a hexadecimal number, what will we need? Of course, we need to find which pins of our common cathode should be on for a specific number. In case of common anode displays, pins should be off.  Now, let’s design our Truth Table.

Number dp g f e d c b a
0 0 0 1 1 1 1 1 1
1 0 0 0 0 0 1 1 0
2 0 1 0 1 1 0 1 1
3 0 1 0 0 1 1 1 1
4 0 1 1 0 0 1 1 0
5 0 1 1 0 1 1 0 1
6 0 1 1 1 1 1 0 1
7 0 0 0 0 0 1 1 1
8 0 1 1 1 1 1 1 1
9 0 1 1 0 1 1 1 1
A 0 1 1 1 0 1 1 1
b 0 1 1 1 1 1 0 0
C 0 0 1 1 1 0 0 1
d 0 1 0 1 1 1 1 1
E 0 1 1 1 1 0 0 1
F 0 1 1 1 0 0 0 1

This is our truth table. Fortunately, Logisim can make a circuit from a truth table, but I made this circuit before. It looks like this :

The inputs W, X, Y and Z represent the BCD input. But how can make this thing? if you are interested to make one of these for real, you can use a 2816 chip, which is actually an EEPROM.