Online calculators → Decimal To Gray Code → 973 from Decimal to Gray Code

973 from Decimal to Gray Code

Converting a decimal number to Gray code involves converting the decimal number to binary first, then performing a binary-to-Gray-code conversion. Here's a step-by-step guide with an example for decimal number 973:

Step 1: Convert Decimal to Binary

Convert the decimal number 973 to binary:

973₁₀ = 1111001101₂

Step-by-step converting 973 from decimal to binary

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 1. These bits are the same, so the second bit of the Gray code is 0.

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

The 2nd bit is 1, and the 3rd bit is 1. 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 1, and the 4th bit is 1. These bits are the same, so the fourth bit of the Gray code is 0.

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 0. Both the bits are different, so the fifth bit of the Gray code is 1.

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

The 5th bit is 0, and the 6th bit is 0. These bits are the same, so the sixth bit of the Gray code is 0.

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 1. Both the bits are different, so the seventh bit of the Gray code is 1.

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

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

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.

Step 10: perform the XOR operation of the ninth and the tenth bits of the binary number

The 9th bit is 0, and the 10th bit is 1. Both the bits are different, so the tenth bit of the Gray code is 1.

So, the Gray code for the decimal number973 is 1000101011.

Decimal To Gray Code Converter

Other examples of Decimal to Gray Code conversion

974 from Decimal to Gray Code

975 from Decimal to Gray Code

976 from Decimal to Gray Code

977 from Decimal to Gray Code

978 from Decimal to Gray Code

979 from Decimal to Gray Code

980 from Decimal to Gray Code

981 from Decimal to Gray Code

982 from Decimal to Gray Code