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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).
Braille ASCII (or more formally The North American Braille ASCII Code, also known as SimBraille) is a subset of the ASCII character set which uses 64 of the printable ASCII characters to represent all possible dot combinations in six-dot braille. It was developed around 1969 and, despite originally being known as North American Braille ASCII ...
Machine code is by definition the lowest level of programming detail visible to the programmer, but internally many processors use microcode or optimize and transform machine code instructions into sequences of micro-ops. Microcode and micro-ops are not generally considered to be machine code; except on some machines, the user cannot write ...
Binary translation. 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. In some cases such as instruction set simulation, the target instruction set may be the same as the source instruction set, providing testing and ...
A binary-to-text encoding is encoding of data in plain text. More precisely, it is an encoding of binary data in a sequence of printable characters. These encodings are necessary for transmission of data when the communication channel does not allow binary data (such as email or NNTP) or is not 8-bit clean.
The value of a binary number with n bits that are all 1 is 2n − 1 . Similarly, for a number N ( b, d) with base b and d digits, all of which are the maximal digit value b − 1, we can write: N(b, d) = (b − 1)bd−1 + (b − 1)bd−2 + … + (b − 1)b1 + (b − 1)b0, N(b, d) = (b − 1) (bd−1 + bd−2 + … + b1 + 1), N(b, d) = (b − 1)M.
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.
This is a list of some binary codes that are (or have been) used to represent text as a sequence of binary digits "0" and "1". Fixed-width binary codes use a set number of bits to represent each character in the text, while in variable-width binary codes, the number of bits may vary from character to character.