Decoders can be regarded as a kind of Converters.
computer science
Description
Part A)
Q1(70 Marks):
Decoders can be regarded as a kind of
Converters.
From The truth table convert the BCD to
7 segment to specified output functions: H,T,L,K,M,L,N
a.Simplify the output function using
Kmap (SOP or POS which ever is more direct). Make sure to use the “DON’T CARE”
conditions as part of map.
b.Draw a circuit for each of your simplified
functions in the simulator. Attach switches for inputs, and light bulbs for
outputs ( or 7 segment led).
c.Attach led to each output of the
function
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BCD(8421) |
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DEC |
A B C D |
H I J K L M N |
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0 |
0 0 0 0 |
1 1 1 1 1 1 0 |
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1 |
0 0 0 1 |
0 1 1 0 0 0 0 |
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2 |
0 0 1 0 |
1 1 0 1 1 0 1 |
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3 |
0 0 1 1 |
1 1 1 1 0 0 1 |
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4 |
0 1 0 0 |
0 1 1 0 0 1 1 |
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5 |
0 1 0 1 |
1 0 1 1 0 1 1 |
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6 |
0 1 1 0 |
1 0 1 1 1 1 1 |
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7 |
0 1 1 1 |
1 1 1 0 0 0 0 |
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8 |
1 0 0 0 |
1 1 1 1 1 1 1 |
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9 |
1 0 0 1 |
1 1 1 1 0 1 1 |
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10 |
1 0 1 0 |
x x x x x x x |
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11 |
1 0 1 1 |
x x x x x x x |
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12 |
1 1 0 0 |
x x x x x x x |
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13 |
1 1 0 1 |
x x x x x x x |
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14 |
1 1 1 0 |
x x x x x x x |
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15 |
1 1 1 1 |
x x x x x x x |
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Part 2
Part B)
(130 marks)
Design a circuit which take in 2 sets of
4bits and add them together, display resulting sum value as decimal digit(s) on
2 seven segments led. To display the binary sum (c+4bits) on 2 seven segments
led you may have to custom design a new converter, or create one using 2 adders
along with gates.
Draw circuit using Logisim. Make sure
to add input switch for the 4 Xi and Yi.
To get full marks your circuit must be
able to display from the min to max range of adding 2 set of 4 bits.
You may use prebuilt adder from Logisim
or from your prior works. You may use your BCD to 7 segment circuit from part A
or the one provided to you on Dec 3rd.
Make to show all your works for part A
& B.
Submit: one document showing you derivations and one circuit file with all your circ
