Ed engenharia eletrica

Circuitos logicos

EX8
A porta coincidencia é uma or exclusiva barrada ou negada.

Coincidencia
A B S
0 0 1
0 1 0
1 0 0
1 1 1 or exclusiva- negada
A B S s
0 0 0 1
0 1 1 0
1 0 1 0
1 1 0 1

EX7
Q=((A(AB)´)´. (B(AB)´)´)´
Q=((A(A´+B´))´. (B(A´+B´))´)´
Q=((AA´+AB´)´. (A´B+BB´)´)´
Q=((AB´)´. (A´B)´)´
Q=((A´+B).(A+B´))´
Q=(AÁ+A´B´+AB+BB´)´
Q=(A´B´+AB)´
Q=(A+B).(A´+B´)
Q=AA´+AB´+A´B+BB´
Q=AB´+A´B

A B (AB´) (A´B) (AB´+A´B)
0 0 0 0 0
0 1 0 1 1
1 0 1 0 1
1 1 0 0 0

O RESULTADO DE (AB´+A´B) É IGUAL A UMA OU EXCLUSIVA.

EX6
AB
(B+C)BC
Q=AB+((B+C)(BC))
Q=AB+BC(B+C)

ex5

8000(16) =8(16^3)+0(16^2)+0(16^1)+0(16^0)
8000(16) =8(4096)+0(256)+0(16)+0(1)
8000(16) =32768(10)

ex4

f(a,b,c) = ((a+b)(a´+c)+(a´+b´+a´bc)(a+a´b)(a´+b´))´ f(a,b,c) = ((aa´+ ac+a´b+bc)+(a´+b´+a´bc)(aa´+ab´+a´a´b+a´bb´))´ f(a,b,c) = ((ac+a´b+bc)+(a´+b´+a´bc)(ab´+a´b))´ f(a,b,c) = ((ac+a´b+bc)+(a´ab´+a´a´b+ab´b´+a´b´b+a´bcab´+a´bca´b))´ f(a,b,c) = (ac+a´b+bc+a´b+ab´+a´bc)´ f(a,b,c) = (ac+a´b+bc+ab´+a´bc)´ f(a,b,c) = (ac+a´b(1+c)+bc+ab´)´ f(a,b,c) = (ac+a´b+bc+ab´)´ f(a,b,c) = (c(a+b)+a´b+ab´)´

A B (a´b)+(ab´)= s
0 0 0 0 0
0 1 1 0 1
1 0 0 1 1
1 1 0 0 0 s=ou exclusiva

f(a,b,c) = (c(a+b)+a(ou exclusiva)b)´

ex3
M2 M1 M0 (M2.M1) (M0+M2.M1) L2 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0

C) L2=(M0+M2.M1) CORRETA

ex2

5=(A´B´)´
7= A´B´
9=(A´B´C´)´
11= A´B´C´
15=(A´B´C´D´)´
16=(A´B´)´
17=((A´B´C´D´)´(A´B´)´)´
18=D´
19=(CD´)´
21=(BCD´)´
22=BCD´
24=(ABCD´)´
23= (A´B´C´D´)´(A´B´)´
S=((A´B´C´D´)´(A´B´)´(ABCD´)´)´
S=((A+B+C+D)(A+B)(A´+B´+C´+D))´
S=(A+B+C+D)´+A´B´+ABCD´

ex1

5=CD
6=BCD
7=(ABCD)´