Question

Simulation Project

Design a Seven Segment Decoder to decode and display CS and the last 2 numbers of your #900 number (Student ID). Assume the corresponding inputs for the letters and numbers.

Example: If your #900 number is 900123456 take last 2 numbers that is 56 and display 'CS56'

Inputs Assumptions

00- for C

01-for S

10— Last number (6 in the given example)

11— Last but one number (5 in the given example)

1. Write the Truth Table for the circuit for all possible inputs with the corresponding outputs.
2. Draw K-maps for each segment 'a' to 'g' and obtain a simplified logic combination of inputs for each output.
3. Using LogiSim draw a combinational logic circuit for each output signal. Draw a combinational logic circuit using appropriate inputs and a 7- segment display (a to g) as outputs. Mark all the labels and name the circuits.

What to turn in:

1. A short description on what is a seven segment Decoder, Truth table for your design, K Maps for simplified equation should be submitted as a word or pdf document with your name on it. (20 points)
2. Circuit using LogiSim. (10 points)
3. Submit the two files (Both pdf/word and circuit) in Canvas before the due date.

Answer 1

The designing of the given "CS65" using seven segment decoder.

Truth table for the given problem:

Here i take the inputs as s1 and s0 where s1 is the msb and s0 is the lsb bit.

To represent S on the 7 segment display it looks like 5 only. there fore the 5 and S are looks like same.

K-maps:

It is used to decrease the gates in the circuit. Group the max number of ones in powers of 2 for minimizing the gates.

K-maps for a and its equation:

K-maps for b and its equation:

K-maps for c and its equation:

K-maps for d and its equation:

K-maps for e and its equation:

K-maps for f and its equation:

K-maps for g and its equation:

circuit with Outputs for different inputs:

input s1s0=00

input s1s0=01

input s1s0=10

input s1s0=11

Seven segment decoder is combination circuit which consists of 7 leds which are arranged in a specific manner from a to g.

Here in logisim open window tab and click the combination anlaysis.It opens a window with inputs,outputs,truthtable,expression.

Add inputs to in the input tab and outputs in the output tab.

Now fill the truthtable based on the given problem.And finnaly give name to the circuit and build it.

Then it gives the circuit as above without 7 segment dispaly.

Here i connected the seven segment display here for better understanding.

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