Logics Documentation

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Transcript of Logics Documentation

Page 1: Logics Documentation

PROJECT DOCUMENTATION

LOGIC CIRCUITS AND SWITCHING THEORY

Submitted by:

Bonilla, Cherold Angelo G.

Evangelista, Mark Joshua F.

Hermoso, Carolina

Mabugay, Rizza Ninia DG.

Mabugay Roy Vincent DG.

Ong, Christopher Ryan

Perlas, Jic

Villanueva, Rodrigo Jr.

Submitted to:

Engr. Julie Ann H. Loresco

Date of Submission:

March 19, 2015

TRUTH TABLE

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A B C D F1 F2 F3 F4 F50 0 0 0 1 0 0 0 00 0 0 1 0 1 0 0 00 0 1 0 0 0 1 0 00 0 1 1 0 0 0 1 00 1 0 0 0 1 0 0 00 1 0 1 0 0 1 0 00 1 1 0 0 0 0 1 00 1 1 1 0 0 0 0 11 0 0 0 1 0 0 0 01 0 0 1 0 1 0 0 01 0 1 0 0 0 1 0 01 0 1 1 0 0 0 1 01 1 0 0 0 1 0 0 01 1 0 1 0 0 1 0 01 1 1 0 0 0 0 1 01 1 1 1 0 0 0 0 1

SIMPLIFICATION OF BOOLEAN EXPRESSION

AB\CD 00 01 11 1000 101 111 110 1

F3 = BC’D + B’CD’

AB\CD 00 01 11 1000 101 111 110 1

F4 = B’CD + BCD’ = C(B + D)

AB\CD 00 01 11 1000 1011110 1

F1 = B’C’D’

AB\CD 00 01 11 1000 101 111 110 1

F2 = BC’D’ + B’C’D = C’(B + D)

AB\CD 00 01 11 100001 111 110

F5 = BCD

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CIRCUIT DIAGRAM

(ALL)

(ABOUT)

(THAT)

(BASS)

(NO TREBLE)

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COMPONENTS USED

COMPONENT DESCRIPTION PICTURE TRUTH TABLE(2) 7408 Quad 2-Input AND Gate

This device contains four independent gates each of

which performs the logic AND

function.

A B F0 0 00 1 01 0 01 1 1

(2) 7404 Hex Inverting Gates

This device contains six independent

inverter or NOT gates.

A F0 11 0

7486 Quad 2-Input Exclusive-

OR Gate

This device contains four independent gates each of

which performs the logic

exclusive-OR function.

A B F0 0 00 1 11 0 11 1 0

7432 Quad 2-Input OR Gate

This device contains four independent

gates, each of which performs the logic NOR

function.

A B F0 0 00 1 11 0 11 1 1

PROJECT DESIGN

The combinational circuit will have five outputs, namely: ALL, ABOUT, THAT, BASS and NO TREBLE. These five outputes will light up according to the lyrics of the song “All About That Bass” by Megan Trainor. Sequence of words is as follow: All About That Bass, About That Bass, No Treble, All About That Bass, About That Bass, No Treble.

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ALL: BASS:

ABOUT: NO TREBLE:

THAT:

CONCLUSION

In conclusion, the simplification of boolean equations is really important as it really minimizes the number of ICs used, the expenses and most especially, it makes all the work and circuitry easier and simplier.

Also, the group concludes that learning should not stop in school or in written examination, the test for the true learning is seen once the lessons taught in school are applied collectively to produce a project such as this. This project not only utilizes the students’ knowledge and learning in Logic Circuits and Switching Theory but also the students’ knowledge in other subjects as well.