Tugas 4 Taufiq (2103015190) Gerbang Logika

29 Maret 2022

 Rangkuman Gerbang Logika & Aljabar Boolean

Aljabar boolean adalah alat yang penting dalam menggambarkan, menganalisa, merancang, dan mengimplementasikan rancangan digital.

Konstanta Boolean dan Variabel

a. aljabar boolean dibawah ini hanya mempunyai dua nilai : 0 dan 1

b. logika 0 dapat dikatakan : false, off, low, no, dan saklar terbuka

c. logika 1 dapat dikatakan : true, on, high, yes, dan saklar tertutup

d. tiga operasi logika dasar : OR, AND, dan NOT

Tabel Kebenaran

sebuah tabel kebenaran menggambarkan hubungan antara input dan output sebuah rangkaian logika.

jumlah the number of entries corresponds to the number of input.

Operasi OR dengan gerbang OR

a. the boolean expression for the OR operation is

x = a + b 

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

c. in the boolean expression 

x = 1+1+1=1

we could say in english that x is true (1) when A is true (1)OR B is true (1)OR C is true (1).

d. there are many examples of application where an output function is desired when one of multiple inputs is activated.

AND operation with AND gates

a. the boolean expression for the AND opperation is

x = A x B

b. the AND operation is similar  to multiplication.

c. in the boolean expression 

X = A x B

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

NOT operation 

a. the boolean expression for the NOT

b. this is read as:

- x equals NOT A, or

- x equals the inverse of A, or

- x equals the complement of A

c. truth table, symbol, and sample wavefrom for the NOT circuit.

 

NOR gates and NAND gates 

a. combine basic AND, OR, NOT operation

b. the NOR gate is an inverted OR gate. an inversion "bubblem" is placed at the output of the OR gate.

c. the output NAND and NOR gate may be found by simply determining the output of AND or OR gate inverting it.

d. the NAND gate is inverted AND gate. an inversion "bubble" is placed at the output of an AND gate.

Universality of NAND and NOR gates

a. NAND or NOR gates can be used to create the three basic logic expression (AND, OR, and, INVERT)

B. this characteristic provides flexibility and is very useful in logic circuit design.