ENS $220$ Bonus Project $1-$ E

Project $1$E $-$ Combinational circuit Design

Figure $1($a$)$ is a seven$-$segment display, each segment is represented by $a,b,c,d,e,f,g.$

When $a=1,$ the corresponding segment $"a"$ will be lighted up$.$ When one or more segments are correctly selected, the display will display decimal number $09($shown in Figure $1($b$))$ and some letter, such as A$,$C$,$E$,$F$,$H$,$L$.$ or a blank display.

$($a$)$ Segment designation

b

$|$c

$($b$)$ Numerical designation for display

Figure $17-$segment display

Please design a BCD to $7-$segment decoder that can convert a BCD code to a $7-$bit code that can light up a $7-$segment LED display as shown in Figure $2.$ If the WXYZ code is not a decimal number $(09),$ the $7-$segement display should display a letter $"$E$".$ You need to write down the truth table, use k$-$map to simplify the circuit, write down the simplified expressions, and then draw the circuit using apmropriate logic gates. Print out this page as the cover page of your report.

Figure $2$ BCD to $7$ Segment decoder connection to a $7-$segment LED display