# Gray to Binary Code Converter

In this lecture, we are going to learn about the Gray to binary Code Converter. We will see the truth table, K-map, and logic diagram of the Gray to binary Code Converter in detail. before the realization of binary to Gray Code Converter let’s discuss the Gray code.

We have already discussed what is gray code, so if you want to know about gray code then click on the below link.

Also Read: What is Gray Code

Now let’s discuss the Gray to Binary Code Converter in detail.

## Gray to Binary Code Converter

Steps to convert the Binary to gray code:

### Gray to Binary Truth Table

The following table shows the relation between the Gray inputs and Binary code outputs.

### Gray to Binary Code Converter K-map

Simplified Expression for B1:

B_1= \bar G_3 \bar G_2 G_1 + \bar G_3 G_2 \bar G_1+G_3G_2G_1+G_3 \bar G_2 \bar G_1
B_1= \bar G_1 (\bar G_3 G_2 + G_3 \bar G_2) + G_1(\bar G_3 \bar G_2 + G_3 G_2)
B_1= \bar G_1 (G_3 \oplus G_2) + G_1(\overline{G_3 \oplus G_2})
\therefore B_1= \bar G_1 X + G_1 \bar X \, where \,X = G_3 \oplus G_2
\therefore B_1= G_1 \oplus X = G_1 \oplus G_2 \oplus G_3

Simplified Expression for B0:

### Gray to Binary Code Converter Circuit

• Gray to Binary Code Converter Circuit is shown in the figure below:

You can also learn the Binary to Gray code converter by clicking the below link

Also Read: Binary to Gray Code Converter Hello friends, my name is Trupal Bhavsar, I am the Writer and Founder of this blog. I am Electronics Engineer(2014 pass out), Currently working as Junior Telecom Officer(B.S.N.L.) also I do Project Development, PCB designing and Teaching of Electronics Subjects.

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