BCD refers to Binary Code Decimal there are no diagrams it is just a numbers system GRAY code is a means to make one reliable state to change at a time eliminating false coding because of transitions in counters and such
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Gray code is a 'reflected code', why is it named so will be illustrated soon. The advantage of Gray code over binary code is that only one bit in the code group changes when going from one number to the next. By, Ashish Kumar (Roh, Nawada, Bihar)
0101 0011 (2) = 53 (16) which in BCD means 53
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.
A BCD to Gray code converter is a digital circuit that converts Binary Coded Decimal (BCD) input to Gray code output. Gray code is a binary numeral system where two consecutive values differ in only one bit. The converter is often used in digital systems where minimizing errors during digital-to-analog conversions is critical.
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
BCD refers to Binary Code Decimal there are no diagrams it is just a numbers system GRAY code is a means to make one reliable state to change at a time eliminating false coding because of transitions in counters and such
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Gray Code is Reflective Binary code. One of the main disadvantages of Gray code is that it is very difficult to come up with an arithmetic logic unit to support Gray code.
characteristic of Gray code
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
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.
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OK. I have it. What now ?