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Experiment #5 NAND/NOR Logic

ELEE 2130-01
Digital System 1 Lab
By:
Mark Alvarez
Angel Aguilar
Margil Garza
Instructor: Wendy Hernandez
Date: 3/3/2014

Objective:
The objective foe this lab was to practice the design and implementation of simple combinational circuits using NAND and NOR logic gates.

Problem:
In this lab we had a Problem we had to solve before we start the preplab. The problems goes, a board of directors has four members: president, vice-president, secretary, treasurer. The following rules are put in place for voting procedures: * For a motion to carry, three “YES” votes are required. (“YES” = 1; “NO” = 0) * In order to avoid a tie, the president is awarded two votes. * No board member may abstain from voting.

Prelab:
The first part to the prelab was to create a truth table such that all possible outcomes from the problem stated above are included. President | Vice President | Secretary | Treasurer | Output | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 |
ABB
ABB
From this truth table we can obtain the simplified Boolean expression in both (SOP) and (POS).Again before we can create the Simplified Boolean expression we need to make the K-MAP.
CD
CD
00 01 11 10
00 01 11 10 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 |
00
01
11
10

00
01
11
10

From that K-Map we can get the (SOP) by grouping the all the ones together but only in groups of 1, 2, 4, or 8.(1’S IN BLUE SHADES) From the circled ones we get the expression (AB)+(AC)+(AD)+(BCD). Now to get the (POS) we group all…...

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