# What is the algorithm for converting Gillham Gray code into binary?

Gillham code is Gray code implemented as a binary-quinary combination. When a Gillham value is converted as Gray to binary in the ordinary way, the least significant 3 bits wi…ll have values of 1 through 4 and 7 ( a reflecting pattern of 5 values only). This was done to produce a quasi decimal system. (5 X 2 =10) that would be compatible with mechanical altimeter mechanisms where one dial rotation is 1k or 10k feet. Here is a conversion algorithm that looks quite good. I lifted it from a website, http://www.ccsinfo.com/forum/viewtopic.php?p=77544 : signed int32 GillhamToAltitude( int16 GillhamValue ) // Data must be in following order (MSB to LSB) // D1 D2 D4 A1 A2 A4 B1 B2 B4 C1 C2 C4 { signed int32 Result; int16 FiveHundreds; int16 OneHundreds; // Convert Gillham value using gray code to binary conversion algorithm. // Get rid of Hundreds (lower 3 bits). FiveHundreds = GillhamValue >> 3; // Strip off Five Hundreds leaving lower 3 bits. OneHundreds = GillhamValue & 0x07; FiveHundreds = GrayToBinary(FiveHundreds); OneHundreds = GrayToBinary(OneHundreds); // Check for invalid codes. if (OneHundreds 5 || OneHundreds 6 || OneHundreds 0) { Result = -9; return Result; } // Remove 7s from OneHundreds. if (OneHundreds 7) OneHundreds = 5; // Correct order of OneHundreds. if (FiveHundreds % 2) OneHundreds = 6 - OneHundreds; // Convert to feet and apply altitude datum offset. Result = (signed int32)((FiveHundreds * 500) + (OneHundreds *100)) - 1300; return Result; } unsigned int GrayToBinary(unsigned int num) { unsigned int temp; temp = num ^ (num>>8); temp ^= (temp>>4); temp ^= (temp>>2); temp ^= (temp>>1); return temp;

# How do you convert binary code?

Binary to what? Binary to Hex is easy. Binary Hex decimal 0000 =0 =0 0001 =1 =1 0010 =2 =2 0011 =3 =3 0100 =4 =4 0101 =5 =5 0110 =6 =6 0111 =7 =7 1000 =8… =8 1001 =9 =9 1010 =A =10 1011 =B =11 1100 =C =12 1101 =D =13 1110 =E =14 1111 =F =15

# How do you convert gray code to binary code?

To convert from Gray code to binary code, proceed as follows: Step 1: Fix the most-significant bit (always the same for both). Step 2: XOR the most recent binary bit with the …next bit in the Gray. Fix the result as the next binary bit. Step 3. Repeat step 2 until all digits are fixed. Examples (bold indicates a fixed binary bit): Gray: 0111 = 0 XOR 1 = 1 XOR 1 = 0 XOR 1 = 1 Binary: 0101 (5 decimal) Gray: 1011 = 1 XOR 0 = 1 XOR 1 = 0 XOR 1 = 1 Binary: 1101 (13 decimal) Gray: 1101 = 1 XOR 1 = 0 XOR 0 = 0 XOR 1 = 1 Binary: 1001 (9 decimal) To convert from binary code to Gray code, proceed as follows: Step 1: Fix the most-significant bit (always the same for both): Step 2: XOR the first two binary bits. Fix the result as the next Gray bit. Step 3. Discard the first binary bit. If there are two or more binary bits remaining, goto step 2. Examples (bold indicates a fixed Gray bit): Binary: 0101 = 0, (0 XOR 1) = 1, (1 XOR 0) = 1, (0 XOR 1) = 1 Gray: 0111 (decimal 5) Binary: 1101 = 1, (1 XOR 1) = 0, (1 XOR 0) = 1, (0 XOR 1) = 1 Gray: 1011 (decimal 13) Binary: 1001 = 1, (1 XOR 0) = 1, (0 XOR 0) = 0, (0 XOR 1) = 1 Gray: 1101 (decimal 9) [EDIT: The previous answer was wrong as it incorrectly assumed converting both ways was achieved with the same algorithm. It is not. Moreover, the algorithm that was used (Binary to Gray) used an arithmetic ADD instead of a logical XOR. Although the end result is essentially the same, ADDing two set bits forces a redundant carry bit, whereas XOR does not. Thus XOR is more efficient.]

# How can you write a program to convert binary code to gray code using 8085 microprocessor?

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

# Convert the gray code 10101111 to binary?

To convert Gray code to binary code you must be familiar with the logical XOR operator. XOR outputs a 1 bit if either of two input bits is 1, but not both. The truth table for… XOR, for all possible inputs p and q, is as follows: p q output 0 0 0 0 1 1 1 0 1 1 1 0 The algorithm to convert from Gray code to binary code is as follows: Step 1: Fix the most-significant bit, the MSB, which is always the same for both codes. If there are no more bits, we're done, otherwise proceed to step 2. Step 2: XOR the most recently fixed binary bit with the next available Gray bit. Fix the result as the next binary bit. Step 3: If there is at least one more Gray bit available, go to step 2. Otherwise we're done. Therefore, to convert 10101111 from Gray to binary, we proceed as follows: Gray = 10101111 Fix MSB = 1 1 XOR 0 = 1 1 XOR 1 = 0 0 XOR 0 = 0 0 XOR 1 = 1 1 XOR 1 = 0 0 XOR 1 = 1 1 XOR 1 = 1 Thus: Binary = 11010101 Note that we carry the fixed bit (the bold bit) onto the next line as the l-value (left operand) of XOR. The r-value (right operand) of XOR is always the next available Gray bit after the MSB. Reading the fixed bits from top to bottom reveals the binary code. We can also write this as follows: Gray = 10101111 Binary = 1 XOR 0 = 1 XOR 1 = 0 XOR 0 = 0 XOR 1 = 1 XOR 1 = 0 XOR 1 = 1 XOR 1 = 1 Reading the fixed (bold) bits left to right reveals the binary code.

# Write an assembly language program to convert gray code to binary?

As you did not specify, I will assume you are talking about three-bit binary-reflected gray code. The procedure for other possible codes and lengths would be similar. … The code table of three-bit gray code D bin gray D' 0 000 000 0 1 001 001 1 2 010 011 3 3 011 010 2 4 100 110 6 5 101 111 7 6 110 101 5 7 111 100 4 The format of this table is: Decimal number; bits B2,B1,B0 of natural binary number; bits G2,G1,G0 of binary number in gray code; decimal representation of the gray code number To get natural binary numbers from the gray numbers, we need to follow the algorithm defined by the table: ( Dec' -> Dec ) zero stays zero one stays one three becomes two two becomes three six becomes four seven becomes five five becomes six four becomes seven Let us search for rules in the transformation, so our program can detect which number it is working with and how to change it to natural binary. Both 0 and 1 don't change. Their shared property is 00 in the higher two bits. 3 and 2 change places. They both have 01 in higher two bits, and the program should toggle the lowest bit. Next we have the circular changes 7 -> 5 -> 6 -> 4 -> 7. This is a bit trickier, but if we analyse their binary forms, we can see that any number that has 10 in its top two bits needs to have its low two bits toggled (ie. 100 becomes 111, and 101 becomes 110). Similarly, those numbers with 11 in top two bits need to have their middle bit set to 0 (ie. 110 becomes 100 and 111 becomes 101). In essence, the program should check for the two higher bits, and depending on the values there, perform one of these four operations. That check can be done in several ways, depending on what you can do with your microcontroller. Perhaps the easiest would be using a mask to set all other bits to zero and analysing what's left.

# C program to convert gray code to binary code?

#include#includevoid main(){int a[10],i=0,c=0,n;printf("\\n enter the gray code");scanf("%d",&n);while(n!=0){a[i]=n%10;n/=10;i++;c++;}for(i=c-1;i>=0;i--){if(a[i]1){if(a[i-1]1)…a[i-1]=0;elsea[i-1]=1;}}printf("\\n the binary code is");for(i=c-1;i>=0;i--)printf("%d",a[i]);getch();}

# Applications of binary to GRAY code converter?

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 bin…ary and the right one is gray code. binary gray 000 000 001 001 010 011 011 010 100 110 101 111 110 101 111 100 000 000

# How do you convert gray to binary code?

To convert a gray code to binary 1.write the the MSB bit as the MSB of the binary. 2.if the 2nd grey bit is 0,then the 2nd binary bit is the same as the first binary bi…t.... and if the grey bit is 1 the 2nd binary bit is the complement of the first binary bit 3.step 2 is repeated for every bit.... EXAMPLE:the binary of the grey code 1110011 is 1011101

# How do you convert gray code to binary?

Its often done in hardware with a lookup ROM, or in software with a lookup table.

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# Write a program to convert binary code to gray code using 8085 microprocessor?

just add 3 to the number which you want ti convert into gray code

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In Technology

# How do you write a program to convert binary code to gray code using c?

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 de…veloped 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.

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# How do you convert n-bits binary to gray code?

The best way is with a lookup table.

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In Technology

# How do you write a c program to convert binary code to Gray code?

unsigned binary_to_gray (unsigned num) { return num ^ (num >> 1); } unsigned gray_to_binary (unsigned num) { /* note: assumes num is no more than 3…2-bits in length */ num ^= (num >> 16); num ^= (num >> 8); num ^= (num >> 4); num ^= (num >> 2); num ^= (num >> 1); return num ; }

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In Numbers

# How do you convert a number into binary codes?

Convert decimal number to binary 1. Start by writing down the number as a start of a new column. 2. Fill out the rest of the column by dividing the number above itby 2. Write… only the integer portion of each value, and use thisinteger value when computing the one below it. Continue dividinguntil the last value written is 1. 3. Write a second column of values next to the first, as a columnof binary 1's and 0's. Write a 1 if the number beside it is odd, ora 0 if even. 4. Read the second column from bottom to top, writing out thebinary value from left to right.