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  2. Bit numbering - Wikipedia

    en.wikipedia.org/wiki/Bit_numbering

    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.

  3. Bitwise operation - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operation

    Bitwise operation. In computer programming, a bitwise operation operates on a bit string, a bit array or a binary numeral (considered as a bit string) at the level of its individual bits. It is a fast and simple action, basic to the higher-level arithmetic operations and directly supported by the processor.

  4. Gray code - Wikipedia

    en.wikipedia.org/wiki/Gray_code

    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 ...

  5. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Fibonacci sequence. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes ...

  6. Bit array - Wikipedia

    en.wikipedia.org/wiki/Bit_array

    A bit array (also known as bitmask, [ 1] bit map, bit set, bit string, or bit vector) is an array data structure that compactly stores bits. It can be used to implement a simple set data structure. A bit array is effective at exploiting bit-level parallelism in hardware to perform operations quickly. A typical bit array stores kw bits, where w ...

  7. Bitwise operations in C - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operations_in_C

    1. 1. 1. The bitwise AND operator is a single ampersand: &. It is just a representation of AND which does its work on the bits of the operands rather than the truth value of the operands. Bitwise binary AND performs logical conjunction (shown in the table above) of the bits in each position of a number in its binary form.

  8. Binary-to-text encoding - Wikipedia

    en.wikipedia.org/wiki/Binary-to-text_encoding

    Binary-to-text encoding. 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.

  9. Binary search - Wikipedia

    en.wikipedia.org/wiki/Binary_search

    Binary search. In computer science, binary search, also known as half-interval search, [ 1] logarithmic search, [ 2] or binary chop, [ 3] is a search algorithm that finds the position of a target value within a sorted array. [ 4][ 5] Binary search compares the target value to the middle element of the array. If they are not equal, the half in ...