NAMA : MOH
TOFARIYANTO
NPM : 2011.02.01.0.0113
KELAS : IIID
SoalLatihan
I :
Sederhanakan
ekspresi logika dibawah dengan
Aljabar
Boolean :
1. AB’+BC +
C’A
2. A’(BC + AB
+ BA’)
3. ABC + AB
+A
4. (A’+AB )
(A’B)
5. BC + AD +
ABCD +ADC +A’
SoalLatihan
II :
BUATLAH TABEL
KEBENARAN DARI PERSAMAAN
LOGIKA
DIBAWAH:
(a) X . Y +
X’. Y + X’ . Y’ = X’+ Y
(b) A . B . C
+ A . C + B . C = A + B + C ganti A.B.C + A.C + B.C = (A+B).C
(c) ( X’. Y +
Y’ . X ) + X . Y = ( X . Y’ )
(d) A . B . D
+ A’. B’ . D + A . B’.D’=A. ( B’.D’+B.D ) ganti (X’.Y + Y’.X) + X.Y = (X+Y)
PENYELESAIAN
SoalLatihan I :
1.
AB’+BC+C’A
AB’+AC’+BC
= A(B’+C’)+BC
= A(B,C)’ + (BC)
= A D’ + D
= (BC)’ A + (BC)
= (BC) + (BC)’ A
=
BC + A
2.
A’(BC + AB + BA’) = A’ (B(C+A+A’)
= A’ (B(C + 1)
= A’ (B(C + 1)
= A’ (B(1))
=A’ (B)
= A’ B
3.
ABC(+A(B+1)
= ABC + A
= A (BC + 1)
= A(1)
= A
4.
(A’+AB) (A’B)
= A’A’B + (AB) (A’B)
= A’B + (AB) (A’B)
= A’B (1+AB)
= A’B (1)
= A’B
5.
BC+AD+ABCD+ADC+A’
= A’+BC+(AD+ADC)+ABCD
= A’+BC+AD+ABCD
= A’+BC+AD(1+BC)
= A’+AD+(BC+ABCD)
= A’+AD+BC(1+AD)
= A’+AD+BC
SoalLatihan II
TABEL
KEBENARAN DARI PERSAMAAN
aa) X.Y + X’.Y + X’.Y’ = X’Y
X
|
Y
|
X’
|
Y’
|
XY
|
X’Y
|
X’Y’
|
XY+X'Y+X'Y'
|
X'+Y
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
bb) A.B.C + A.C + B.C = (A+B).C
A
|
B
|
C
|
A+B
|
A.B
|
A.C
|
B.C
|
(A.B).C
|
(A.B.C)+(A.C)
|
(A.B.C)+(A.C)+(B.C)
|
(A+B).C
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
cc) (X’.Y + Y’.X) + X.Y = (X+Y)
X
|
Y
|
X’
|
Y’
|
X.Y
|
X’.Y
|
X.Y’
|
(X’.Y)+( X.Y’)
|
(X’.Y+X.Y’)+ (X.Y)
|
X+Y
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
0
|
Download file
Tags
Kuliah
latihan 2 yg D gaada
ردحذفyang latihan 1 A itu apa hukum ya ?
ردحذفYang c gk ada
ردحذفKak yang 2 d ?🙏
ردحذفYang d nggak ada kak
ردحذفYang D ngak ad ya kak
ردحذفKa ijin bertanya, kenapa nilai yang B dirubah ? Apakah kesalahan soal atau memang rumusnya begitu ?
ردحذفkak tugasnya kok sama seperti punya saya
ردحذفArcanist ketauan ya wkwkwkwkwk
ردحذفgg kamu arcanist
ردحذفkeren arcanist
ردحذف