Introduction

In this lab, we will be designing an encoder circuit that encodes negative decimal numbers into binary, in sign and magnitude form. This will include creating a truth table, K-maps for all outputs and a Multisim circuit diagram.

Procedure

Part 1 – Complete the Truth Table for the Encoder

Let the input to the circuit be any decimal number between -2 to +2. You can use three bits to represent these decimal numbers, where A = 2, B = 1, C = 0 as well as a sign bit, S, that indicates the sign of the input number (S = 0 for positive, S = 1 for negative).

The outputs of the circuit should be:

1. A flag, F, that separates cases 000 from 001 (F = 0 for no input and F = 1 for 0, 1, 2)
2. A 3-bit binary equivalent number, in sign-magnitude form. Recall that to count to 2 in binary, you’ll only need two binary bits, so the third output bit is reserved for the sign.

Part 2 – K-maps

1. Create K-maps for all four outputs listed above.

2. From the K-maps determine the minimal functions for each output.

Part 3 – Draw the Circuit in Multisim

1. Using your output equations from part 2, draw the gate logic array for the encoder.
2. Be sure to connect digital indicators to each output.
3. Simulate your circuit and save a copy of your schematic showing the verification for the decimal input of -1.

Part 4 – Lab Report

1. the Lab should have 3 sections: 1st is Background, 2nd Findings and Last is Conclusion.
2. the Background: this is the summary of the lab and the goal of the lab
3. Findings: are the steps of the lab from beginning to end. typically there should be enough information for someone else to duplicate your work.
4. Conclusion: a summary of your results good or bad. anything you observed, learned, or did not understand.
5. Using either GoogleDocs, Word, or the pdf generator of your choice, compile your images into one file.
6. Be sure to include figure labels for your images in proper MLA format (figure labels centered below schematics and table labels left-justified above the table). Submit via Canvas as lab1yourlastname.pdf. Thanks and let me know if you have any questions!