unsigned binary_to_gray (unsigned num) {
return num ^ (num >> 1);
}
unsigned gray_to_binary (unsigned num) {
/* note: assumes num is no more than 32-bits in length */
num ^= (num >> 16);
num ^= (num >> 8);
num ^= (num >> 4);
num ^= (num >> 2);
num ^= (num >> 1);
return num ;
}
It can be implemented very easily .... Suppose the Binary word is X7X6X5.... X0 then the corresponding Gray code is G7G6G5....G0 where G7=X7 G6=X7 XOR X6 G5=X6 XOR X5 ..... G0=X1 XOR X0 Now implement the above algorithm
The best way is with a lookup table.
Converting Gray Code to Binary1). Write down the number in gray code.2). The most significant bit of the binary number is the most significant bitof the gray code.3). Add (using modulo 2) the next significant bit of the binary number to thenext significant bit of the gray coded number to obtain the next binary bit.4). Repeat step 3 till all bits of the gray coded number have been added inmodulo 2. The resultant number is the binary equivalent of the gray number.Converting Binary to Gray Code1). Write down the number in binary code.2). The most significant bit of the gray number is the most significant bitof the binary code.3). Add (using modulo 2) the next significant bit of the binary number to thenext significant bit of the binary number to obtain the next gray coded bit.4). Repeat step 3 till all bits of the binary coded number have been added inmodulo 2. The resultant number is the gray coded equivalent of the binarynumber.
66666
The Gray Code is a type of binary code developed by a programmer named Frank Gray. Gray code is a binary numeral system that differ than normal binary code, and is used widely to detect errors in software.
The reflected binary code, also known as Gray codeafter Frank Gray, is a binary numeral system where two successive values differ in only one bit.Here is an example of a 4-bit Gray code:0000000100110010011001110101010011001101111111101010101110011000
Oh, that's a happy little question! To convert gray code to binary, you can start by writing down the first bit as it is. Then, for each subsequent bit, you can add the gray code bit to the binary bit before it. So, for 10101111, the binary equivalent would be 11101010. Just remember, there are no mistakes, only happy little accidents!
gray code is one which changes one bit at a time but binary code is one which changes one or more bit at a time. for example three bit binary and gray code the left one is binary and the right one is gray code.binary gray000 000001 001010 011011 010100 110101 111110 101111 100000 000
gray code is one which changes one bit at a time but binary code is one which changes one or more bit at a time. for example three bit binary and gray code the left one is binary and the right one is gray code.binary gray000 000001 001010 011011 010100 110101 111110 101111 100000 000
I do not believe that is a valid binary number. All binary numbers must be divisible by 8
Gray code, named after Frank Gray, a Bell Labs researcher who originally called it "reflected binary code", is used to help correct errors in digital communications. It was developed as a response to preventing desynchronized switching actions, requiring only one switch be flipped to increment or decrement a binary value represented by a hardware-based switch array. The simplest method, without using a whole lot of CPU or brain power, is to create an array of Gray code values that correspond to their binary representation. For example, a 2-bit Gray code array would consist of the following values: int gray2bit[]={0, 1, 3, 2}; A 3-bit Gray code array would be declared and initialized as follows: int gray3bit[]={0, 1, 3, 2, 6, 7, 5, 4}; To find the Gray code for a particular value, simply reference that offset in the desired array: int n=gray2bit[2]; /* results in 3 */ int m=gray3bit[6]; /* results in 5 */ See the related links for more information on Gray codes as well as sample source code that will assist you further.
The gray code for the decimal number 6 in four-bit format is 1011. To convert from binary to gray code, the most significant bit (MSB) remains the same, and each subsequent bit is derived by XORing the current bit with the previous bit in the binary representation. The binary representation of 6 is 0110, which converts to gray code as follows: 0 (MSB), 1 (0 XOR 1), 1 (1 XOR 1), 1 (1 XOR 0), resulting in 1011.