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Perkenalan dengan input, gates, dan output

Rangkaian gerbang logika untuk soal nomer 2, Buatlah suatu rangkaian logika (minimal menggunakan 4 gerbang logika) dan buatlah tabel 

kebenaran dari rangkaian yang dibuat!

Rangkaian gerbang logika untuk membuat table kebenaran dan persamaan logika

Jawaban soal modul 2, membuat rangkaian gerbang logika

Penyederhanaan persamaan rangkaian logika dan implementasi kedalam circuit menggunakan aljabar boolean

Penyederhanaan persamaan rangkaian logika dan implementasi kedalam circuit menggunakan aljabar boolean

Penyederhanaan persamaan rangkaian logika dan implementasi kedalam circuit menggunakan peta karnaugh

Kurang paham

Multiplexer is a combinational circuit that has maximum of 2n data inputs, ‘n’ selection lines and single output line. One of these data inputs will be connected to the output based on the values of selection lines.

Since there are ‘n’ selection lines, there will be 2n possible combinations of zeros and ones. So, each combination will select only one data input. Multiplexer is also called as Mux.

4x1 Multiplexer

4x1 Multiplexer has four data inputs I3, I2, I1 & I0, two selection lines s1 & s0 and one output Y. The block diagram of 4x1 Multiplexer is shown in the following figure.

One of these 4 inputs will be connected to the output based on the combination of inputs present at these two selection lines. Truth table of 4x1 Multiplexer is shown below.

TRUTH TABLE

Selection LinesOutputS1S0Y00I001I110I211I3

From Truth table, we can directly write the Boolean function for output, Y as

Y=S1′S0′I0+S1′S0I1+S1S0′I2+S1S0I3Y=S1′S0′I0+S1′S0I1+S1S0′I2+S1S0I3

We can implement this Boolean function using Inverters, AND gates & OR gate. The circuit diagram of 4x1 multiplexer is shown in the following figure.

CIRCUIT DAIGRAM