Logics Documentation
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Transcript of 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
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
CIRCUIT DIAGRAM
(ALL)
(ABOUT)
(THAT)
(BASS)
(NO TREBLE)
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.
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.