A seven-segment display is used by simple calculators to display adigit 0-9 or t

Question

A seven-segment display is used by simple calculators to display adigit 0-9 or the letters A-F. Using 4 inputs w, x, y, z ,to represent the numbers 0-15 in binary (so e.g. y = 1 and w = x =z = 0 represents 2), make a table with 16 rows and 4+7 columns.Write w, x, y, z, a, b, c, d, e, f, g as the heading ofthe 11 columns. Fill in the first 4 columns with the binary numbersof 0-15, expressions for each of the seven segments a, b, c, d,e, f, g (the segments are labeled starting from the topsegment clockwise and the segment in the middle is g).

Explanation / Answer

Dear, Aseven-segment display : Truth Table: Decimal
Number Inputs Outputs              w x y z a b c d e f   0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 0
0
0
0
0
0
0
0
1
1
1 1 1 1 1 1 0
0
0
0
1
1
1
1
0
0
0 0 1 1 1 1 0
0
1
1
0
0
1
1
0
0
1 1 0 0 1 1 0
1
0
1
0
1
0
1
0
1
0 1 0 1 0 1 1
0
1
1
0
1
1
1
1
1
1 0 1 1 1 1 1
1
1
1
1
0
0
1
1
1
1 0 0 1 0 0 1
1
0
1
1
1
1
1
1
1
1 1 0 1 0 0 1
0
1
1
0
1
1
0
1
1
0 1 1 1 1 0 1
0
1
0
0
0
1
0
1
0
1 1 1 1 1 1 1
0
0
0
1
1
1
0
1
1
1 1 1 1 1 1 0
0
1
1
1
1
1
0
1
1
1 1 1 0 1 1 5
6
7
8
9
10 11 12 13 14 15 0
0
0
0
0
0
0
0
1
1
1 1 1 1 1 1 0
0
0
0
1
1
1
1
0
0
0 0 1 1 1 1 0
0
1
1
0
0
1
1
0
0
1 1 0 0 1 1 0
1
0
1
0
1
0
1
0
1
0 1 0 1 0 1 1
0
1
1
0
1
1
1
1
1
1 0 1 1 1 1 1
1
1
1
1
0
0
1
1
1
1 0 0 1 0 0 1
1
0
1
1
1
1
1
1
1
1 1 0 1 0 0 1
0
1
1
0
1
1
0
1
1
0 1 1 1 1 0 1
0
1
0
0
0
1
0
1
0
1 1 1 1 1 1 1
0
0
0
1
1
1
0
1
1
1 1 1 1 1 1 0
0
1
1
1
1
1
0
1
1
1 1 1 0 1 1

I hope this is helpful for you...... Decimal
Number Inputs Outputs              w x y z a b c d e f   0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 0
0
0
0
0
0
0
0
1
1
1 1 1 1 1 1 0
0
0
0
1
1
1
1
0
0
0 0 1 1 1 1 0
0
1
1
0
0
1
1
0
0
1 1 0 0 1 1 0
1
0
1
0
1
0
1
0
1
0 1 0 1 0 1 1
0
1
1
0
1
1
1
1
1
1 0 1 1 1 1 1
1
1
1
1
0
0
1
1
1
1 0 0 1 0 0 1
1
0
1
1
1
1
1
1
1
1 1 0 1 0 0 1
0
1
1
0
1
1
0
1
1
0 1 1 1 1 0 1
0
1
0
0
0
1
0
1
0
1 1 1 1 1 1 1
0
0
0
1
1
1
0
1
1
1 1 1 1 1 1 0
0
1
1
1
1
1
0
1
1
1 1 1 0 1 1

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