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In computing, binary translation is a form of binary recompilation where sequences of instructions are translated from a source instruction set to the target instruction set.
A binary number is a number expressed in the base -2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" ( zero) and "1" ( one ). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit.
A binary code represents text, computer processor instructions, or any other data using a two-symbol system. The two-symbol system used is often "0" and "1" from the binary number system. The binary code assigns a pattern of binary digits, also known as bits, to each character, instruction, etc. For example, a binary string of eight bits (which ...
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).
Morse code is transmitted using just two states (on and off). Morse code may be represented as a binary code, and that is what telegraph operators do when transmitting messages.
Assuming is the th Gray-coded bit (being the most significant bit), and is the th binary-coded bit (being the most-significant bit), the reverse translation can be given recursively: =, and =. Alternatively, decoding a Gray code into a binary number can be described as a prefix sum of the bits in the Gray code, where each individual summation ...
The four best-known methods of extending the binary numeral system to represent signed numbers are: sign–magnitude, ones' complement, two's complement, and offset binary. Some of the alternative methods use implicit instead of explicit signs, such as negative binary, using the base −2 .
The most common approach is to translate the codes to U+DC80...U+DCFF which are low (trailing) surrogate values and thus "invalid" UTF-16, as used by Python's PEP 383 (or "surrogateescape") approach. Another encoding called MirBSD OPTU-8/16 converts them to U+EF80...U+EFFF in a Private Use Area.
Binary translator (binary-to-binary, typically code) Assembly language translator (low-level source-to-source, code) Source-to-source translator (high-level source-to-source, code) Rewriter (source-to-source, typically code) Source-code formatter (source-to-source, typically code) File converter (binary-to-binary, typically data)
This bit numbering method has the advantage that for any unsigned number the value of the number can be calculated by using exponentiation with the bit number and a base of 2. [2] The value of an unsigned binary integer is therefore. where bi denotes the value of the bit with number i, and N denotes the number of bits in total.
