Online calculators → Binary To Gray Code → 100110010 from Binary to Gray Code

100110010 from Binary to Gray Code

Converting a binary number to Gray code involves performing a bitwise exclusive OR (XOR) operation between each pair of adjacent bits in the binary representation. Here's a step-by-step guide with an example for binary number 100110010:

Step 1: Write Down the First Bit of the Gray Code

Write down the first bit of the Gray code as the same as the first bit of the binary number.

FIRST BIT OF GRAY CODE: 1

Step 2: perform the XOR operation of the first and the second bits of the binary number

The 1st bit is 1, and the 2nd bit is 0. Both the bits are different, so the second bit of the Gray code is 1.

Step 3: perform the XOR operation of the second and the third bits of the binary number

The 2nd bit is 0, and the 3rd bit is 0. These bits are the same, so the third bit of the Gray code is 0.

Step 4: perform the XOR operation of the third and the fourth bits of the binary number

The 3rd bit is 0, and the 4th bit is 1. Both the bits are different, so the fourth bit of the Gray code is 1.

Step 5: perform the XOR operation of the fourth and the fifth bits of the binary number

The 4th bit is 1, and the 5th bit is 1. These bits are the same, so the fifth bit of the Gray code is 0.

Step 6: perform the XOR operation of the fifth and the sixth bits of the binary number

The 5th bit is 1, and the 6th bit is 0. Both the bits are different, so the sixth bit of the Gray code is 1.

Step 7: perform the XOR operation of the sixth and the seventh bits of the binary number

The 6th bit is 0, and the 7th bit is 0. These bits are the same, so the seventh bit of the Gray code is 0.

Step 8: perform the XOR operation of the seventh and the eighth bits of the binary number

The 7th bit is 0, and the 8th bit is 1. Both the bits are different, so the eighth bit of the Gray code is 1.

Step 9: perform the XOR operation of the eighth and the ninth bits of the binary number

The 8th bit is 1, and the 9th bit is 0. Both the bits are different, so the ninth bit of the Gray code is 1.

So, the Gray code for the binary number100110010 is 110101011.

Binary To Gray Code Converter

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