![]() ![]() As per the weighted binary digits, the 4 Bit binary numbers can be expressed according to their place value from left to right as 8421 (2³ 2² 2¹ 2⁰ = 8421). All these binary numbers again expressed in the last column by expanding into 4 bits. The decimal numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 can be expressed in Binary numbers as shown in the following table. When there is 0 in a digit position, weight of that position should be disregarded.įor example binary number 1100 has a decimal equivalent of 8 + 4 + 0 + 0 = 12.When there is 1 in a digit position, weight of that position should be added.Whenever any binary number appears, its decimal equivalent can be found easily as follows. It is easily can be understood that the weight of digit of the binary system is ‘2’. In the same way, the values assigned to consecutive places in the binary system, which is also a place value system, are called as weighted binary system. It is easily can be understood that the weight of digit of the decimal system is ‘10’. 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… and so on from left to right. In the above list, the first three i.e., 8421, 24 are Weighted Binary Codes while the other two are Non-Weighted Binary Codes. ![]() Commonly used Binary Codesīefore going into the details of individual binary codes, let us quickly take a look at some of the commonly used Binary Codes. Other than the commonly used 8421 code or BCD code, other Binary Codes like 2421 code, 5211 code, reflective code, sequential code, non-weighted code, excess-3 code and Gray code are also popular. In the same way, binary digits also be utilized to make such various innumerable combinations. 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. 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’. The telegraph operators used a code of clicks to send the messages. The first successful system of electrical communication was the telegraph, which was invented by Samuel F.B. ![]()
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