Search results
Results from the Tech24 Deals Content Network
For example, the binary number 100101 is converted to decimal form as follows: 100101 2 = [ ( 1 ) × 2 5 ] + [ ( 0 ) × 2 4 ] + [ ( 0 ) × 2 3 ] + [ ( 1 ) × 2 2 ] + [ ( 0 ) × 2 1 ] + [ ( 1 ) × 2 0 ]
In computer science, the double dabble algorithm is used to convert binary numbers into binary-coded decimal (BCD) notation. 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.
Binary-to-decimal conversion with minimal number of digits. Converting a double-precision binary floating-point number to a decimal string is a common operation, but an algorithm producing results that are both accurate and minimal did not appear in print until 1990, with Steele and White's Dragon4. Some of the improvements since then include:
Computer engineers often need to write out binary quantities, but in practice writing out a binary number such as 1001001101010001 is tedious and prone to errors. Therefore, binary quantities are written in a base-8, or "octal", or, much more commonly, a base-16, "hexadecimal" (hex), number format. In the decimal system, there are 10 digits, 0 ...
In the decimal encoding, it is encoded as a series of p decimal digits (using the densely packed decimal (DPD) encoding). This makes conversion to decimal form efficient, but requires a specialized decimal ALU to process. In the binary integer decimal ( BID) encoding, it is encoded as a binary number.
In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each digit is represented by a fixed number of bits, usually four or eight. Sometimes, special bit patterns are used for a sign or other indications (e.g. error or overflow).
Decimal Binary Gray 0: 0000: 0000: 1: 0001: 0001: 2: 0010: 0011: 3: 0011: 0010: 4: 0100: 0110: 5: 0101: 0111: 6: 0110: 0101: 7: 0111: 0100: 8: 1000: 1100: 9: 1001: 1101: 10: 1010: 1111: 11: 1011: 1110: 12: 1100: 1010: 13: 1101: 1011: 14: 1110: 1001: 15: 1111: 1000
The original binary value will be preserved by converting to decimal and back again using: 5 decimal digits for binary16, 9 decimal digits for binary32, 17 decimal digits for binary64, 36 decimal digits for binary128. For other binary formats, the required number of decimal digits is
This table illustrates an example of decimal value of 149 and the location of LSb. In this particular example, the position of unit value (decimal 1 or 0) is located in bit position 0 (n = 0). MSb stands for most significant bit, while LSb stands for least significant bit. Binary (Decimal: 149) 1. 0.
In the IEEE 754 standard, the 64-bit base-2 format is officially referred to as binary64; it was called double in IEEE 754-1985. IEEE 754 specifies additional floating-point formats, including 32-bit base-2 single precision and, more recently, base-10 representations ( decimal floating point ).