15 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 15:
Step 1: Convert Decimal to Binary
Convert the decimal number 15 to binary:
1510 = 11112
Step-by-step converting 15 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.
So, the Gray code for the decimal number15 is 1000.
Decimal To Gray Code Converter
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