gerbang logika dasar.pdf
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Sistem digitallTRANSCRIPT
![Page 1: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/1.jpg)
F.A. Samman 133D422 - Sistem Digital 1
��������������� � �� �� � �� �Kode MatakuliahKode Matakuliah: 133D422: 133D422
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Universitas HasanuddinFakultas TeknikJurusan Teknik Elektro
Topik Topik 1:1:
Gerbang Logika DasarGerbang Logika Dasar
![Page 2: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/2.jpg)
F.A. Samman 133D422 - Sistem Digital 2
� � � �� �� � �� � �
� Memahami prinsip-prinsip masukan-keluaran dari gerbang-gerbang logikadasar.
� Memahami cara menjabarkan fungsilogika sebuah rangkaian logika.
� Memahami cara mengurai tabelkebenaran sebuah rangkaian logika.
![Page 3: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/3.jpg)
F.A. Samman 133D422 - Sistem Digital 3
� ��� ��� �� �� Gerbang NOT� Gerbang AND� Gerbang NAND� Gerbang OR� Gerbang NOR� Gerbang XOR (Exclusive OR)
![Page 4: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/4.jpg)
F.A. Samman 133D422 - Sistem Digital 4
� �� � � �� � �Simbol:
Tabel Kebenaran: x z01 0
1
x
Fungsi Aljabar Boolean:
z xz =
![Page 5: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/5.jpg)
F.A. Samman 133D422 - Sistem Digital 5
� �� � � �� � �Simbol:
Tabel Kebenaran:
Fungsi Aljabar Boolean:
x1 x2 z0 0
101 01 1
001
0
21 xxz ⋅=x1x2z
![Page 6: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/6.jpg)
F.A. Samman 133D422 - Sistem Digital 6
� �� � � �� � � �Simbol:
Tabel Kebenaran:
Fungsi Aljabar Boolean:
x1 x2 z0 0
101 01 1
110
1
x1x2z 21 xxz ⋅=
![Page 7: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/7.jpg)
F.A. Samman 133D422 - Sistem Digital 7
� �� � � �� �Simbol:
Tabel Kebenaran:
Fungsi Aljabar Boolean:
x1 x2 z0 0
101 01 1
111
0
x1x2z 21 xxz +=
![Page 8: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/8.jpg)
F.A. Samman 133D422 - Sistem Digital 8
� �� � � �� � �Simbol:
Tabel Kebenaran:
Fungsi Aljabar Boolean:
x1 x2 z0 0
101 01 1
000
1
x1x2z 21 xxz +=
![Page 9: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/9.jpg)
F.A. Samman 133D422 - Sistem Digital 9
� �� � � �� � � ��� � � ��! ��� � "Simbol:
Tabel Kebenaran:
Fungsi Aljabar Boolean:
x1 x2 z0 0
101 01 1
110
0
x1x2z 21 xxz ⊕=
![Page 10: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/10.jpg)
F.A. Samman 133D422 - Sistem Digital 10
# $ � �$ � ��$ ��%
� Tentukan nilai z, apakah 1 atau 0?
01
1Z=?
??
?
?
![Page 11: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/11.jpg)
F.A. Samman 133D422 - Sistem Digital 11
& ' � � ��$ ��%
01
1Z=1
00
0
0
Gunakan tabel kebenaran dari gerbang-gerbang logikadasar, kemudian tentukan keluaran dari tiap-tiapgerbang dari masukan sampai keluaran.
![Page 12: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/12.jpg)
F.A. Samman 133D422 - Sistem Digital 12
# $ � �$ � ��$ ��(
� Tentukan fungsi logika z, dari rangkaianlogika berikut?
z=f(x1, x2, x3)
x1x2
x3
![Page 13: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/13.jpg)
F.A. Samman 133D422 - Sistem Digital 13
& ' � � ��$ ��(
x1x2
x3z=f(x1, x2, x3)
y1
y3
y4
y2
211 xxy =
322 xxy =213 yyy +=
34 xy =Sehingga:
3322143 xxxxxyyz ++=+=
![Page 14: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/14.jpg)
F.A. Samman 133D422 - Sistem Digital 14
# $ � �$ � ��$ ��)� Lengkapilah Tabel
Kebenaran darirangkaian logika dibawah ini?
z=f(x1, x2, x3)
x1x2
x3
x2 x3 z0 0
101 01 1
??
?
?
0 010
1 01 1
00001111
x1
???
?
![Page 15: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/15.jpg)
F.A. Samman 133D422 - Sistem Digital 15
& ' � ��$ ��)
z=f(x1, x2, x3)
x1
x2
x3
x2 x3
y1
0 010
1 01 1
00
0
0
0 010
1 01 1
00001111
x1
011
0
y1
y3
y4y2
x1 x2
y2
x2 x3
y3
y1 + y2
y4
x3 y3 + y4
z
11101110
111
10
111
10
0
0
0
1
1
1
00010000
![Page 16: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/16.jpg)
F.A. Samman 133D422 - Sistem Digital 16
# $ � �$ � ��$ ��*� Lengkapilah Tabel
Kebenaran dari rangkaianlogika di bawah ini?
� Tentukan pula fungsilogikanya!
z=f(x1, x2, x3)
x1
x2
x3
x2 x3 z0 0
101 01 1
??
?
?
0 010
1 01 1
00001111
x1
???
?
![Page 17: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/17.jpg)
F.A. Samman 133D422 - Sistem Digital 17
& ' � ��$ ��* x2 x3
y1
0 010
1 01 1
10
0
1
0 010
1 01 1
00001111
x1
000
0
x1+ x2
y2
x2
y3
y1 y2
y4
x1 x3 y3 + y4
z
11001100
110
00
000
11
1
0
0
1
1
1
11111010
z=f(x1, x2, x3)
x1
x2
x3
y1
y3
y4
y2
![Page 18: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/18.jpg)
F.A. Samman 133D422 - Sistem Digital 18
& ' � ��$ ��* x2 x3
y1
x1 x1+ x2
y2
x2
y3
y1 y2
y4
x1 x3 y3 + y4
z
z=f(x1, x2, x3)
x1
x2
x3
y1
y3
y4
y2
Berdasarkan rangkaian logika dan tabel kebenarannya, makadiperoleh fungsi logika sbb:
( ) 31221312143 xxxxxxxyyyyz ++=+=+=
![Page 19: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/19.jpg)
F.A. Samman 133D422 - Sistem Digital 19
# $ � �$ � ��$ ��+� Lengkapilah Tabel
Kebenaran dari rangkaianlogika di bawah ini?
� Tentukan pula fungsilogikanya!
x2 x3 z0 0
101 01 1
??
?
?
0 010
1 01 1
00001111
x1
???
?
z=f(x1, x2, x3)
x1
x2
x3
![Page 20: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/20.jpg)
F.A. Samman 133D422 - Sistem Digital 20
& ' � ��$ ��+ x2 x3
y1
0 010
1 01 1
01
1
0
0 010
1 01 1
00001111
x1
100
1
x1+ x2
y2
x2
y3
y1 + y2
y4
x2 x3 y3 y4
z
11001100
000
00
011
00
1
0
1
0
0
0
11111110
y1y3
y4
y2z=f(x1, x2, x3)
x1
x2
x3
![Page 21: Gerbang Logika Dasar.PDF](https://reader031.vdocuments.site/reader031/viewer/2022020710/548a8f24b479590f0d8b5d6b/html5/thumbnails/21.jpg)
F.A. Samman 133D422 - Sistem Digital 21
& ' � ��$ ��+ x2 x3
y1
x1 x1+ x2
y2
x2
y3
y1 + y2
y4
x2 x3 y3 y4
z
y1y3
y4
y2z=f(x1, x2, x3)
x1
x2
x3
Berdasarkan rangkaian logika dan tabel kebenarannya, makadiperoleh fungsi logika sbb:
( )( ) ( )( )( )32221322143 xxxxxxxyyyyz +⊕=+==