Problem 6
Based on the truth table for a BCD-to-7-segment decoder (Table 2, Lab 3), use Sum-of-Products
or Karnaugh maps to find the Boolean algebra for mapping the four binary inputs to the output
'a' only. You can verify your results with the circuit diagram in Fig. 2, Lab 3.
Table 2. 7447 BCD to 7-segment Decoder
Problem 6
Based on the truth table for a BCD-to-7-segment decoder (Table 2, Lab 3), use Sum-of-Products or Karnaugh maps to find the Boolean algebra for mapping the four binary inputs to the output a' only. You can verify your results with the circuit diagram in Fig.2,Lab 3.
Decimal Input Digit QD Qc QB QA a 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 0 3 0 0 0 4 0 0 0 - 5 0 - 0 0 6 0 - 0
Output c p e
b 0 0 0
f
g
0
0
0
0
0
1
0
0
1
0
0
0
0 - 0
- 1 -
0
0
0 0 0
0
0
1
0
0
0
0
0
0
7
0
- 0 0
- 0 0
1
0
0
0
- 0
- 0
8
1
0 1
0 0
0
0
0
0 0
9
0
0
1
1
0
Table 2. 7447 BCD to 7-segment Decoder
