Tugas 3. Rangkuman Materi Gerbang Logika

 

Gerbang Logika Dan Aljabar Boolean

Aljabar Boolean adalah alat yang penting dalam menggambarkan, menganalisa, merancang, dan mengimplementasikan rangkaian digital.

Konstanta Boolean dan Variabel

·        Aljabar Boolean dibawah ini hanya mempunyai dua nilai : 0 dan 1

·        Logika 0 dapat dikatakan : false, off, low, no, saklar terbuka

·        Logika 1 dapat dikatakan: true, on, high, yes, saklar tertutup

·        Tiga operasi logika dasar: OR, AND, dan NOT

Tabel Kebenaran

Sebuah tabel kebenaran menggambarkan hubungan antara input dan ouput sebuah rangkaian logika. Jumlah The number of entries corresponds to the number of inputs. For example a 2 input table would have 2 2 = 4 entries. A 3 input table would have 2 3 = 8 entries.

Operasi OR dengan gerbang OR

·        The Boolean expression for the OR operation is X = A + B

§  This is read as “x equals A or B.”

§  X = 1 when A = 1 or B = 1.

·        Truth table and circuit symbol for a two input OR gate:

OR Operation With OR Gates

·        The OR operation is similar to addition but when A = 1 and B = 1, the OR operation produces 1 + 1 = 1.

·        In the Boolean expression

x=1+1+1=1

OR Operation With OR Gates

·        There are many examples of applications where an output function is desired when one of multiple inputs is activated.

AND Operations with AND gates

·        The Boolean expression for the AND operation is X = A • B

§  This is read as “x equals A and B.”

§  x = 1 when A = 1 and B = 1.

·        Truth table and circuit symbol for a two input AND gate are shown. Notice the difference between OR and AND gates.

Operation With AND Gates

·        The AND operation is similar to multiplication.

·        In the Boolean expression

X = A • B • C

X = 1 only when A = 1, B = 1, and C = 1.

Sumber : https://onlinelearning.uhamka.ac.id/