Make a circuit for the upper bar of a seven segment display. This bar has to light up for the numbers 0, 2, 3, 5, 6, 7, 8 and 9.
I converted these numbers into binary codes.
| Decimal numeral system | Binary numeral system |
| 0 | 0000 |
| 2 | 0010 |
| 3 | 0011 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
For the numbers, I made the following Boolean expressions .
0 = (-x1^-x2^-x3^-x4)
2=(-x1^-x2^x3^-x4)
3=(-x1^-x2^x3^x4)
5={-x1^x2^-x3^x4)
6=(-x1^x2^x3^-x4)
7=(-x1^x2^x3^x4)
8=(x1^-x2^-x3^-x4)
9=(x1^-x2^-x3^x4)
I did put all of these together making the following Boolean expression.
((-x1)^(-x2^((-x3^-x4)v(x3^(x4v-x4)))v(x2^((-x3^x4)v(x3^(x4v-x4))))))v(x1^-x2^-x3^(x4v-x4))
With this expression I made this circuit.
