8/18/2019 Dasar Digital Gerbang Logika - Boolean

1/12

Mata KuliahDasar Digital

Fakultas Teknik

Teknik Informatika

Universitas Malikussaleh

2016

Eva Darnila, ST, MT

2. GERBANG - ALJABAR

BOOLEAN

8/18/2019 Dasar Digital Gerbang Logika - Boolean

2/12

Gerban Dasar ! "#T

4/8/16 Eva Darnila, ST, MT 2

penyangkalan dengan kata-kata "tidak " !"T#

1$% & dan &$ % 1

8/18/2019 Dasar Digital Gerbang Logika - Boolean

3/12

Gerban Dasar ! $"D

4/8/16 Eva Darnila, ST, MT '

 (!D ) * % (+ % (

aniasi

8/18/2019 Dasar Digital Gerbang Logika - Boolean

4/12

Gerban Dasar ! #% 

4/8/16 Eva Darnila, ST, MT 4

". ) * % (

aniasi

8/18/2019 Dasar Digital Gerbang Logika - Boolean

5/12

Gerban Tambahan

4/8/16 Eva Darnila, ST, MT 0

!". ) * % ( #$ !(!D ) * % ( #$

8/18/2019 Dasar Digital Gerbang Logika - Boolean

6/12

Gerban Tambahan

4/8/16 Eva Darnila, ST, MT 6

E". )

aniasi

8/18/2019 Dasar Digital Gerbang Logika - Boolean

7/12

Teorema Dasar &oole

4/8/16 Eva Darnila, ST, MT

8/18/2019 Dasar Digital Gerbang Logika - Boolean

8/12

Teorema Tambahan &oole

4/8/16 Eva Darnila, ST, MT 8

8/18/2019 Dasar Digital Gerbang Logika - Boolean

9/12

'en(a)ian Funsi &oole

•   sukumin *sinkatan +ari suku minimum minterm,

minimum term-

Sum #f 'ro+u.t, nilai 1

•   sukumax  *sinkatan +ari suku maksimum maxterm,

ma/imum term-

 'ro+u.t of sum, nilai 0

4/8/16 Eva Darnila, ST, MT 3

8/18/2019 Dasar Digital Gerbang Logika - Boolean

10/12

.ontoh

4/8/16 Eva Darnila, ST, MT1&

8/18/2019 Dasar Digital Gerbang Logika - Boolean

11/12

Funsi Ti+ak enka• +3 *+ont .are-, +aat +iana 1 atauun 0 terantun

 ertimbanan +esain

• 4ontoh 5 ( Σ m *0,7,8- 9 Σ + *1,6-, 

$ & 4 (

0 0 0 10 0 1 /

0 1 0 0

0 1 1 1

1 0 0 0

1 0 1 0

1 1 0 /

1 1 1 1 

4/8/16 Eva Darnila, ST, MT11

8/18/2019 Dasar Digital Gerbang Logika - Boolean

12/12

SOAL LATIHAN

1: Se+erhanakan ern(ataan &oolean berikut5

$&9$&39$439&343

2: Gambarkan ersamaan +iatas menunakan

erban (an an+a ela)ari:7: Se+erhanakan se.ara &oolean funsi5

f*a,b,.- m*1,7,;,