Increased Storage Requirements: Representing decimal numbers in BCD format requires extra bits of storage in a computer’s memory. Limitations of Binary-Coded Decimal (BCD) This is particularly useful in applications that require frequent conversions between decimal and binary representations. BCD numbers can be easily converted to their equivalent decimal representation and vice versa, making it efficient for arithmetic operations involving decimal values.įast and Efficient Conversion: BCD offers a fast and efficient system for converting decimal numbers into binary numbers. This feature is beneficial in applications where data needs to be presented in a human-friendly format.Įasy Coding and Decoding: Compared to the standard binary system, coding and decoding of BCD numbers are straightforward. Human-Readable Numerals: BCD enables easy conversion between machine-readable and human-readable numerals. It allows the representation of decimal numbers using four-bit binary digits, which is convenient for handling and storing numeric data. Size Limitations: Binary-coded decimal (BCD) system provides a solution to overcome the size limitations imposed on integer arithmetic. Advantages and Applications of Binary-Coded Decimal (BCD) Similarly, you can perform BCD addition using specific rules. Then, combine these binary forms to get the BCD form, which is. For example, to get the BCD equivalent of the decimal number 874, replace each digit (8, 7, and 4) with its four-bit binary form (1000, 0111, and 0100). To convert a decimal number into its equivalent BCD form, each digit of the decimal number should be replaced by its equivalent four-bit binary form. The table below shows the representation of decimal numbers from 0 to 15 in both binary and equivalent BCD form: Decimal Number Binary Number Binary Coded Decimal (BCD) 0 0000 00000000110001 00001 00001 00001 00001 00001 0101 For instance, the decimal number 12 in binary is (1100)2, but in BCD, it is represented as, where each digit (1 & 2 separately) is replaced by its equivalent 4-bit binary form. However, after 9, the representation in BCD is different. Similarly, the numbers from 0 to 9 are represented in the same way as in the binary system. Binary Coded Decimalįor example, the binary conversion of the decimal number 7 is (111)2, but in the BCD system, it is represented as (0111) in its four-bit form. It is also known as the BCD number system. Binary Coded Decimal (BCD) number is a number system where decimal numbers from 0 to 9 are represented using four-bit binary numbers.
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