A BCD to 7 segment combinational logic circuit gets a decimal digit as its input and converts the signal to suite a 7 segment display. The basic block diagram is as follows.
The decimal number is given as 4 binary inputs. The BCD gives 8 signals as outputs for the 7 segment display, 7 of which drive different segments of the display and one of which drives the decimal point.
Development of the Combinational Logic
First we will develop the combinational logic to implement this BCD to 7 segment display decoder.
We will tabulate which segments should be lit up in order to show the decimal numbers on out 7 segment display.
All the other binary combinations for number 10-15 can be considered as “don’t care”.
As the 7-segments displays on the FPGA development board are common anode, we consider an ON state of a segment as logic 0 and OFF state of a segment as logic 1.
Now we can consider each segment of our 7 segment display and construct a combinational circuit for each of them. To ease the simplification, we can draw a 4 input Karnaugh Map.
Segment A
A = ~(In3) * ~(In2) * ~(In1) * (In0) + ~(In3) * (In2) * ~(In1) * ~(In0)Segment B
B = ~(In3) * ~(In2) * ~(In1) * (In0) + ~(In3) * (In2) * ~(In1) * ~(In0)Segment C
C = ~(In3) * ~(In2) * (In1) * ~(In0)Segment D
D = ~(In3) * ~(In2) * ~(In1) * (In0) + ~(In3) * (In2) * ~(In1) * ~(In0)
+ ~(In3) * (In2) * (In1) * (In0)Segment E
E = ~(In3) * (In0) + ~(In3) * (In2) * ~(In1) + ~(In2) * ~(In1) * (In0)Segment F
F = ~(In3) * ~(In2) * (In0) + ~(In3) * ~(In2) * (In1) + ~(In3) * (In1) * (In0)Segment G
G = ~(In3) * ~(In2) * ~(In1) + ~(In3) * (In2) * (In1) * (In0) Segment DP
DP = 1Now we have established our digital design for the BCD to 7-segment decoder.
Click here to read the blog post of implementation of the circuit using Verilog in Quartus Prime on Terasic DE10-Lite FPGA.
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