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Examples of BCD codes. The following charts show the numeric values of BCD characters in hexadecimal (base-16) notation, as that most clearly reflects the structure of 4-bit binary coded decimal, plus two extra bits. For example, the code for 'A', in row 3x and column x1, is hexadecimal 31, or binary '11 0001'.
For example, to represent the decimal number 12345 in packed BCD, using big-endian format, a program would encode as follows: Decimal: 0 1 2 3 4 5 Binary : 0000 0001 0010 0011 0100 0101
In computer science, the double dabble algorithm is used to convert binary numbers into binary-coded decimal (BCD) notation. [1] [2] It is also known as the shift-and-add -3 algorithm , and can be implemented using a small number of gates in computer hardware, but at the expense of high latency .
Examples of BCD six-bit codes. IBM, which dominated commercial data processing use a variety of six-bit codes, which were tied to the character set used on punched cards, see BCD (character encoding) . Other vendor character codes are shown below, with their Unicode equivalents.
For example, the representation of the decimal value "1" in binary would normally be " 001 " and "2" would be " 010 ". In Gray code, these values are represented as " 001 " and " 011 ". That way, incrementing a value from 1 to 2 requires only one bit to change, instead of two.
The Aiken code (also known as 2421 code) is a complementary binary-coded decimal (BCD) code. A group of four bits is assigned to the decimal digits from 0 to 9 according to the following table. The code was developed by Howard Hathaway Aiken and is still used today in digital clocks, pocket calculators and similar devices [citation needed].
Densely packed decimal ( DPD) is an efficient method for binary encoding decimal digits. The traditional system of binary encoding for decimal digits, known as binary-coded decimal (BCD), uses four bits to encode each digit, resulting in significant wastage of binary data bandwidth (since four bits can store 16 states and are being used to ...
Each letter or symbol is assigned a number from 0 to 127. For example, lowercase "a" is represented by 1100001 as a bit string (which is "97" in decimal). Binary-coded decimal. Binary-coded decimal (BCD) is a binary encoded representation of integer values that uses a 4-bit nibble to encode decimal digits. Four binary bits can encode up to 16 ...
An example of this is a seven-segment decoder, which converts an integer into the combination of segment control signals needed to display the integer's value on a seven-segment display digit. One variant of seven-segment decoder is the BCD to seven-segment decoder , which translates a binary-coded decimal value into the corresponding segment ...
A two-out-of-five code is a constant-weight code that provides exactly ten possible combinations of two bits, and is thus used for representing the decimal digits using five bits. Each bit is assigned a weight, such that the set bits sum to the desired value, with an exception for zero.