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Turing machines. A Turing machine is a mathematical model of computation describing an abstract machine [1] that manipulates symbols on a strip of tape according to a table of rules. [2] Despite the model's simplicity, it is capable of implementing any computer algorithm. [3]
Turing machines. A multi-tape Turing machine is a variant of the Turing machine that utilizes several tapes. Each tape has its own head for reading and writing. Initially, the input appears on tape 1, and the others start out blank. [1] This model intuitively seems much more powerful than the single-tape model, but any multi-tape machine—no ...
A copy subroutine. This is a very important subroutine used in the "multiply" routine. The example Turing machine handles a string of 0s and 1s, with 0 represented by the blank symbol. Its task is to double any series of 1s encountered on the tape by writing a 0 between them.
One-time pad. A format of one-time pad used by the U.S. National Security Agency, code named DIANA. The table on the right is an aid for converting between plaintext and ciphertext using the characters at left as the key. In cryptography, the one-time pad (OTP) is an encryption technique that cannot be cracked, but requires the use of a single ...
Teletext allows up to eight 'magazines' to be broadcast, identified by the first digit of the three-digit page number (1–8). Within each magazine there may theoretically be up to 256 pages at a given time, numbered in hexadecimal and prefixed with the magazine number – for example, magazine 2 may contain pages numbered 200-2FF.
Twenty-one bamboo strips of the Tsinghua Bamboo Strips, when assembled in the correct order, represent a decimal multiplication table that can be used to multiply numbers (any whole or half integer) up to 99.5. [3] Joseph Dauben of the City University of New York called it "the earliest artefact of a decimal multiplication table in the world". [3]
The number of start positions for the first two wheels, χ 1 and χ 2 was 41×31 = 1271. The first step was to try all of these start positions against the message tape. This was Tutte's "1+2 break in" which involved computing (∆Z 1 ⊕ ∆Z 2 ⊕ ∆χ 1 ⊕ ∆χ 2) —which gives a putative (∆D 1 ⊕ ∆D 2)—and counting the number of ...
Multiplication table. In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for ...
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