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Di erent Types of Binary Codes
JANUARY 28, 2015 BY ADMINISTRATOR — 2 COMMENTS
Introduction
The rst successful system of electrical communication was the telegraph, which was invented by Samuel F.B. Morse in the year 1832. The telegraph operators used a code of clicks to send the messages. If the key pressed for a short time it is the Morse code called ‘dot’ and if the key pressed for a long-time it is ‘Dash’. A sample Morse code is shown below:
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Table of Contents 1. Introduction
- Weighted Binary Systems 2.1. Binary Weights 2.2. 8421 Code or BCD Code2.3. 2421 Code 2.4. 5211 Code2.5. Re ective Code
- Non-Weighted Codes2.6. Sequential Codes 3.1. Excess-3 Code 3.1.1. Excess -3 Code Examples 3.2. Gray Code
If it is observed logically, various innumerable combinations of dots and dashes of any kind of words (even sentences) can be written utilizing the above code. In the same binary digits also be utilized to make such various innumerable combinations. These may be considered as binary codes.
Other than the 8421 code or BCD code, 2421 code, 5211 code, re ective code, sequential code, non-weighted code, excee-3 code and Grey code are some of the codes which were popularized.
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Weighted Binary Systems The values assigned to consecutive places in the decimal system which is a place value system are 10⁴, 10³, 10², 10¹, 10⁰, 10⁻¹, 10⁻², 10⁻³… from left to right. It is easily can be understood that the weight of digit of the decimal system is ‘10’.
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DECIMAL NUMBER BINARY NUMBER 4 BIT EXPRESSION(8421)
As per the above expression all the decimal numbers written in the 4 Bit binary code in the form of 8421 and this is called as 8421 Code and also as Binary coded decimal BCD.
As this is a straight code, any Decimal number can be expressed easily because the weights of the positions are straight for easy conversion into this 8421 code.
There are other forms of codes which are not so popular but rather confusing. They are 2421 code, 5211 code, re ective code, sequential code, non- weighted coded, excess-3 code and Grey code. They are having their own importance for some of the exclusive applications and may be useful for some of the typical applications.
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2421 Code
This code also a 4 bit application code where the binary weights carry 2, 4, 2, 1 from left to right.
DECIMAL NUMBER BINARY NUMBER 2421 CODE
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5211 Code
This code is also a 4 bit application code where the binary weights carry 5, 4, 2, 1 from left to right.
DECIMAL NUMBER BINARY NUMBER 5211 CODE 0 0 0000 1 1 0001 2 10 0011 3 11 0101 4 100 0111
8421 code is not a re ective code.
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Sequential Codes
Sequential codes are the codes in which 2 subsequent numbers in binary representation di er by only one digit. The 8421 and Excess-3 codes are examples of sequential codes. 2421 and 5211 codes do not come under sequential codes.
DECIMAL NUMBER BINARY NUMBER 8421 CODE EXCESS- 0 0 0000 0011 1 1 0001 0100 2 10 0010 0101 3 11 0011 0110 4 100 100 0111 5 101 0101 1000 6 110 0110 1001 7 111 0111 1010 8 1000 1000 1011 9 1001 1001 1100 BACK TO TOP
Non-Weighted Codes Some of the codes will not follow the weights of the sequence binary numbers these are called
as non-weighted codes. ASCII code and Grey code are some of the examples where they are coded for some special purpose applications and they do not follow the weighted binary number calculations.
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Excess-3 Code
As mentioned above, some of the codes will not follow the binary weights, Excee-3 code is an example of it and it is an important 4 bit code. The excess – 3 code of a decimal number is achieved by adding the number 3 to the 8421 code.
For example to convert 15 to an excess-3 code, rst 3 to be added to each digit as shown below.
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Excess -3 Code Examples
- Find the excess-3 code of (237.75)
- Find the decimal number of excess-3 number 110010100011.01110101. Sol:
- The excess-3 code for (237) is obtained by adding 3 to all the digits individually, that is 2, 3 an
d 7 will become 5, 6 and 10 respectively. These 5, 6 and 10 decimals have to be converted into binary form and the result is 010101101010.
10
10
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Comments
Vaibhav says OCTOBER 29, 2017 AT 2:38 AM Nicely explain ….good job Reply
Swarnakamal Mishra says DECEMBER 26, 2017 AT 8:51 AM Really helpful. Thanks Reply
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