Binary to Decimal conversion has previously been discussed. The conversion from Binary to Hexadecimal is a continuation of that process with one difference above the value of $9$d $(1001$b$).$ The Hexadecimal number system is special within the Binary range equivalent of $1010$b $1111$b$.$ In Decimal, this would represent a range of $10$d $15$d$.$ The best way to illustrate the relationship is by using the table below.

Binary Decimal Hexadecimal

$101010$ A

$101111$ B

$110012$ C

$110113$ D

$111014$ E

$111115$ F

For Binary values between $0000$b $1001$b$,$ the Hexadecimal value is equivalent to the Decimal value. But, for Binary values $>1001$b$,$ the Hexadecimal representation is actually a letter.

Description:

For this lab, design, synthesize, and functionally verify a combinational logic circuit that displays the decimal equivalent of each this $($HEX$5).$ Do not worry about the decimal point. Use K$-$Maps to create the Boolean expression of each segment. Make sure to compare the truth table and the functional simulation results with the development board functionality. Use switches as the controls for the binary inputs $($SW$9=$ MSB $($A$),$ SW$0=$ LSB $($B$)).$ Use the Waveform Viewer for functional verification and physically test all binary input combinations using the DE$10-$Lite development board.

Demo Questions:

$$ Explain the functionality of the DE$10-$Lite controls and indicators used in the design.

$$ What modifications in the lab description would have to be considered if you were asked to display the decimal range of $0-7?$