Question

Task 3 BCD-to-7-Segment Conversion Derive the truth table for the BCD-to-seven-segment code decoder (a truth table with 4 inputs and 7 outputs, where 6 out of 16 input combinations are invalid). Decide on how to handle outputs for illegal input com- binations and describe your choice in your discussion Task 4 Use the WinLogiLab WinBoolean utility K-Map tool to obtain a minimal all-NAND realization for the BCD-to-seven-segment decoder Task 5 Use the WinLogiLab DigitalSim utility to simulate the logic functionality of minimal all-NAND realization for the BCD-to-seven-segment decoder. You will need to apply all 10 4-bit input combinations for all 10 valid decimal digits to perform the testing functional correctness of the logic circuit.

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The truth table for BCD to seven segment decoder with 4 inputs and 7 outputs where 6 out of 16 combination are invalid are as follows :

1. 10 Valid Combinations

BCD INPUT 7 - segment decoder output
0 0 1 1 1 1 1 1 1 1 0
0 1 0 0 0 1 1 0 0 0 0
0 1 0 1 1 1 0 1 1 0 1
0 1 1 0 1 1 1 1 0 0 1
0 1 1 1 0 1 1 0 0 1 1
1 0 0 0 1 0 1 1 0 1 1
1 0 0 1 1 0 1 1 1 1 1
1 0 1 0 1 1 1 0 0 0 0
1 0 1 1 1 1 1 1 1 1 1
1 1 0 0 1 1 1 1 0 1 1

2. 6 Invalid Combination

BCD INPUT 7 - segment decoder output
0 0 0 0 x x x x x x x
0 0 0 1 x x x x x x x
0 0 1 0 x x x x x x x
0 0 1 1 x x x x x x x
1 1 1 1 x x x x x x x
1 1 1 0 x x x x x x x

A BCD to 7-segment decoder is a combinational circuit that accepts a 4-bit BCD data andgenerates the appropriate outputs for selection of segments in a display indicator used fordisplaying the decimal digit. Display patterns for invalid BCD codes (1010 to 1111) are uniquesymbols for each 4 bit invalid combination to authenticate input conditions.

A BCD to 7-segment decoder is a combinational circuit that accepts a 4-bit BCD data andgenerates the appropriate outputs for selection of segments in a display indicator used for displaying the decimal digit. Display patterns for invalid BCD codes (1010 to 1111) are unique symbols for each 4 bit invalid combination to authenticate input conditions.

A BCD to 7-segment decoder is a combinational circuit that accepts a 4-bit BCD data andgenerates the appropriate outputs for selection of segments in a display indicator used fordisplaying the decimal digit. Display patterns for invalid BCD codes (1010 to 1111) are uniquesymbols for each 4 bit invalid combination to authenticate input conditions.

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