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

 

 

BCD(8421)

| OUTPUTS

 

DEC

A B C D

H I J K L M N

 

 

 

 

 

0

0 0 0 0

1 1 1 1 1 1 0

 

 

 

 

 

1

0 0 0 1

0 1 1 0 0 0 0

 

 

 

 

 

2

0 0 1 0

1 1 0 1 1 0 1

 

 

 

 

 

3

0 0 1 1

1 1 1 1 0 0 1

 

 

 

 

 

4

0 1 0 0

0 1 1 0 0 1 1

 

 

 

 

 

5

0 1 0 1

1 0 1 1 0 1 1

 

 

 

 

 

6

0 1 1 0

1 0 1 1 1 1 1

 

 

 

 

 

7

0 1 1 1

1 1 1 0 0 0 0

 

 

 

 

 

8

1 0 0 0

1 1 1 1 1 1 1

 

 

 

 

 

9

1 0 0 1

1 1 1 1 0 1 1

 

 

 

 

 

10

1 0 1 0

x x x x x x x

 

 

 

 

 

11

1 0 1 1

x x x x x x x

 

 

 

 

 

12

1 1 0 0

x x x x x x x

 

 

 

 

 

13

1 1 0 1

x x x x x x x

 

 

 

 

 

14

1 1 1 0

x x x x x x x

 

 

 

 

 

15

1 1 1 1

x x x x x x x

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part 2

 

 

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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

Instruction Files

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