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Double dabble. 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. [3]
Packed BCD is more efficient in storage usage than unpacked BCD; encoding the same number (with the leading zero) in unpacked format would consume twice the storage. Shifting and masking operations are used to pack or unpack a packed BCD digit. Other bitwise operations are used to convert a numeral to its equivalent bit pattern or reverse the ...
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To convert 999, start with the BCD 1s digit set to 3 (the MS byte of input value hex 3E7) and the input byte set to E7. Now do 8 iterations of "if any BCD digit is > 4 add 3, then shift". To extend even further, if space for another BCD digit is added (4 BCD digits plus an 8-bit LS-input byte), the input range is extended to hex 7FF (decimal 2047).
Below is the full 8086/8088 instruction set of Intel (81 instructions total). [2] These instructions are also available in 32-bit mode, they operate instead on 32-bit registers (eax, ebx, etc.) and values instead of their 16-bit (ax, bx, etc.) counterparts.
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 store only 10), even when using packed BCD.
To convert a hexadecimal number into its binary equivalent, simply substitute the corresponding binary digits: 3A 16 = 0011 1010 2 E7 16 = 1110 0111 2. To convert a binary number into its hexadecimal equivalent, divide it into groups of four bits. If the number of bits isn't a multiple of four, simply insert extra 0 bits at the left (called ...
The Aiken code (also known as 2421 code) [1][2] 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].
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