Table of Contents
- 1 Is BCD and Gray code same?
- 2 What is BCD and Gray code?
- 3 What is gray code and why is it useful?
- 4 How do you write GREY code?
- 5 What is EBCDIC and how it is related to BCD?
- 6 What is the full form of EBCDIC?
- 7 What is the difference between binary code and Gray code?
- 8 What is the difference between excess 3 code and BCD code?
Is BCD and Gray code same?
In the same way first position on the left changes for 7 and 8 which are 0100 and 1100 and this is also called Unit-distance code. The gray code has very special place in digital electronics….Gray Code.
| Decimal Number | Binary Code | Gray Code |
|---|---|---|
| 2 | 0010 | 0011 |
| 3 | 0011 | 0010 |
| 4 | 0100 | 0110 |
| 5 | 0101 | 0111 |
What is BCD and Gray code?
Binary Coded Decimal (BCD) is a way to store the decimal numbers in binary form. The number representation requires 4 bits to store every decimal digit (from 0 to 9). Since there are 10 different combinations of BCD, we need at least a 4-bit Gray Code to create sufficient number of these combinations.
What is the difference between binary code & Gray code?
Binary numerals are used for doing math, because they are easy to add, subtract, and multiply. Gray code is used in situations where a change to an adjacent number would create a “race condition ” between different bits.
What is Gray code used for?
Gray codes are widely used to prevent spurious output from electromechanical switches and to facilitate error correction in digital communications such as digital terrestrial television and some cable TV systems.
What is gray code and why is it useful?
Gray codes are very useful in the normal sequence of binary numbers generated by the hardware that may cause an error or ambiguity during the transition from one number to the next. So, the Gray code can eliminate this problem easily since only one bit changes its value during any transition between two numbers.
How do you write GREY code?
Gray code digits are g2 , g1 , g0, where g2 is the most significant bit (MSB) and g0 is the least significant bit (LSB) of Gray code. Therefore, you solve boolean expression using k-map, you will get g2=b2, g1=b1⊕b2, and g0=b0⊕b1….Conversion of Binary to Gray Code.
| Decimal | Binary | Gray Code |
|---|---|---|
| 3 | 011 | 010 |
| 4 | 100 | 110 |
| 5 | 101 | 111 |
| 6 | 110 | 101 |
Why BCD is needed?
The main advantage of the Binary Coded Decimal system is that it is a fast and efficient system to convert the decimal numbers into binary numbers as compared to the pure binary system. But the BCD code is wasteful as many of the 4-bit states (10-to-16) are not used but decimal displays have important applications.
Why BCD adder is used?
The BCD-Adder is used in the computers and the calculators that perform arithmetic operation directly in the decimal number system. The BCD-Adder accepts the binary-coded form of decimal numbers.
What is EBCDIC, and how is it related to BCD? The EBCDIC code stands for Extended Binary Coded Decimal Interchange Code. This code is still used in IBM mainframe and mid-range systems but personal computers rarely used it. The EBCDIC code is an 8-bit code to represent 256 symbols.
What is the full form of EBCDIC?
EBCDIC, in full extended binary-coded decimal interchange code, data-encoding system, developed by IBM and used mostly on its computers, that uses a unique eight-bit binary code for each number and alphabetic character as well as punctuation marks and accented letters and nonalphabetic characters.
What is the difference between Gray and cyclic codes?
Gray codes are also known as non-weighted code which means the bit positions in the code do not have any specific weight assigned. Gray codes are also known as cyclic codes or unit distance codes in which the difference between the code groups differ only by 1. Sougata Bhattacharjee’s answer to What is the difference between binary and BCD code?
What is the meaning of BCD code?
BCD code is a weighed code, that is the weight of four binary bits which represent an individual digits are 8, 4, 2, 1 modern computer perform subtraction using complements and there is a difficulty in forming complements when number are represented by BCD codes.
What is the difference between binary code and Gray code?
Gray code is where only one bit changes at a time. Binary code is where one or more bits change at a time.
What is the difference between excess 3 code and BCD code?
In Excess-3 code, 3 is added to the individual digit of a decimal number then these binary equivalent are written. For example, (278) 10 in excess-3 code is represented by 0101101011. This code is not a weighted code. 2421 code is another BCD code. It is weighed code. For example, 6 is 1100 and 3 is 0011. The gray code is a binary code.