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BASIC interpreter of the Apple I and original Apple II computers
Integer BASIC is a BASIC interpreter written by Steve Wozniak for the Apple I and Apple II computers. Originally available on cassette for the Apple I
Integer_BASIC
Family of disk operating systems
introduced the Apple II in 1977, it included Integer BASIC but lacked a DOS. Users could enter and run programs in BASIC and store programs and data on compact
Apple_DOS
Interpreter that enables users to enter and run programs in the BASIC language
at Hewlett Packard and used their TS-BASIC minicomputer dialect as the basis for his own version. Integer BASIC was released on cassette for the Apple
BASIC_interpreter
Dialect of Microsoft BASIC programming language
Applesoft BASIC is a dialect of Microsoft BASIC, developed by Marc McDonald and Ric Weiland, supplied with Apple II computers. It supersedes Integer BASIC and
Applesoft_BASIC
Number in {..., –2, –1, 0, 1, 2, ...}
The integers form a ring which is the most basic one, in the following sense: for any ring, there is a unique ring homomorphism from the integers into
Integer
Second model of the Apple II computer line
Users could thus load Integer BASIC into the language card from disk and switch between the Integer and Applesoft dialects of BASIC with DOS 3.3's INT and
Apple_II_Plus
Mathematical optimization problem restricted to integers
An integer programming, also known as integer optimization, problem is a mathematical optimization or feasibility program in which some or all of the variables
Integer_programming
Number used for counting
are 0 (if included), 1, 2, 3, and so on. The terms positive integers, non-negative integers, whole numbers, and counting numbers are also used. The set
Natural_number
Interpreted byte-code instruction set
instruction set invented by Steve Wozniak and implemented as part of the Integer BASIC ROM in the Apple II computers. It was created because Wozniak needed
SWEET16
1977–1993 series of microcomputers
operating system in ROM along with a BASIC variant called Integer BASIC. Apple eventually released Applesoft BASIC, a more advanced variant of the language
Apple_II
First model in the Apple II computer series
addition of game paddle support and sound, and graphics commands in Integer BASIC, with which he wrote Brick Out, a software clone of Breakout. Wozniak
Apple_II_(original)
Microsoft's programming language based on BASIC and COM
bits of an integer such as And, Or, Xor and Not. This definition of True is also consistent with BASIC since the early 1970s Microsoft BASIC implementation
Visual_Basic_(classic)
Object-oriented computer programming language
data-type changes occurred with the move to VB.NET: compared to Visual Basic 6, the Integer data type has been doubled in length from 16 bits to 32 bits, and
Visual_Basic_(.NET)
Computer arithmetic error
In computer programming, an integer overflow occurs when an arithmetic operation on integers attempts to create a numeric value that is outside of the
Integer_overflow
1979 video game
a 1980 update that is written in 6502 assembly language instead of Integer BASIC. The game gets its name from the Three Mile Island accident, which occurred
Three Mile Island (video game)
Three_Mile_Island_(video_game)
Data types supported by the C programming language
of processing of data elements. The C language provides basic arithmetic types, such as integer and real number types, and syntax to build array and compound
C_data_types
Datum of integral data type
computer science, an integer is a datum of integral data type, a data type that represents some range of mathematical integers. Integral data types may
Integer_(computer_science)
1984 console cartridge for programming
are Family BASIC development componentry, or appear in premade Family BASIC games. Like Integer BASIC and Tiny BASIC, the Family BASIC interpreter only
Family_BASIC
(Apple I) See: Integer BASIC Apple Business BASIC (Apple III) Applesoft BASIC (Apple II) Based on the same Microsoft code that Commodore BASIC was based on
List_of_BASIC_dialects
Computer programming language interpreter
BASIC, the original version of what became Microsoft BASIC, was patterned on DEC's BASIC-PLUS. Others, including Apple's Integer BASIC, Atari BASIC and
HP_Time-Shared_BASIC
and much faster than Atari BASIC. It also included an additional integer math package for added performance. The integer math system was triggered when
Atari_Microsoft_BASIC
Programming language
Equipment Corporation's BASIC-PLUS on the PDP-10, which Gates had used in high school. The first versions supported integer math only, but Monte Davidoff
Microsoft_BASIC
Seven short BASIC programming language programs
issue of the US computer magazine, Kilobaud. The article reported that Integer BASIC, an interpreter program written by Steve Wozniak for the Apple II computer
Rugg/Feldman_benchmarks
Root of a quadratic polynomial with a unit leading coefficient
related to integral quadratic forms. The study of rings of quadratic integers is basic for many questions of algebraic number theory. Medieval Indian mathematicians
Quadratic_integer
BASIC dialect
Private: x As Integer y As Integer Public: Declare Constructor (nX As Integer = 0, nY As Integer = 0) Declare Property getX As Integer Declare Property
FreeBASIC
IDE for the BASIC programming language
example: SCREEN 13 DIM a(3976) AS INTEGER, b(3976) AS INTEGER, c(3976) AS INTEGER DIM d(3976) AS INTEGER, e(3976) AS INTEGER col% = 16: col1% = 16: col2% =
QuickBASIC
Natural number
65535 is the integer after 65534 and before 65536. It is the maximum value of an unsigned 16-bit integer. 65535 is the sum of 20 through 215 (20 + 21
65,535
Version of the BASIC programming language for the Apple III computer
minicomputers. The main additions compared to AppleSoft BASIC on the Apple II were 19-digit long integer values in addition to floating point, better control
Apple_Business_BASIC
processor implemented as part of the Integer BASIC. However, the Apple II's Integer BASIC ROMs were replaced by Applesoft BASIC ROMs since the Apple II+, and
Lazer's Interactive Symbolic Assembler
Lazer's_Interactive_Symbolic_Assembler
Encoding method for variable-length integers
A variable-length integer is a variable-length encoded representation of an integer value using a sequence of bytes. The number of bytes that is needed
Variable-length_integer
Computer model built by Apple
expansion came with a free cassette tape containing Steve Wozniak's Integer BASIC interpreter. Other software tapes were available "at minimal cost" including
Apple_I
1976 action video game
support, and native graphical command sets within Integer BASIC. Wozniak subsequently used these BASIC commands to program Brick Out, a software clone of
Breakout_(video_game)
Method to solve optimization problems
case, integer programming problems are in many practical situations (those with bounded variables) NP-hard. 0–1 integer programming or binary integer programming
Linear_programming
BASIC programming languages designed for under 4 KB
integer implementation. The language was often used for process control applications. Arduino BASIC – adapted from Gordon Brandly's 68000 Tiny BASIC,
Tiny_BASIC
Formula for systems of linear equations
prove that an integer programming problem whose constraint matrix is totally unimodular and whose right-hand side is integer, has integer basic solutions
Cramer's_rule
Nearest integers from a number
returns the greatest integer less than or equal to x, written ⌊x⌋ or floor(x). Similarly, the ceiling function returns the least integer greater than or equal
Floor_and_ceiling_functions
Basic Caché Basic Chinese BASIC Color BASIC COMAL Commodore BASIC DarkBASIC DarkBASIC Professional Dartmouth BASIC HP Time-Shared BASIC Integer BASIC
Generational list of programming languages
Generational_list_of_programming_languages
Programming language by Hewlett-Packard
HP BASIC was highly influential for many years, and its syntax can be seen in a number microcomputer BASICs, including Palo Alto TinyBASIC, Integer BASIC
Systems_Programming_Language
Integer
added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0. Multiplying a number by
−1
Complex number whose real and imaginary parts are both integers
number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and
Gaussian_integer
BASIC interpreter for the Horizon microcomputer
FOR loop. Different dialects of BASIC handled this in different ways, the equivalent in Integer BASIC and Atari BASIC was POP. FILL could be used to fill
North_Star_BASIC
Extremely basic data type
operations on these types are often the fastest possible in most cases. Integer addition, for example, can be performed as a single machine instruction
Primitive_data_type
Arithmetic operation
with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely
Division_(mathematics)
at Bell Labs APL, PPL, Scheme 1976 SAS SAS Institute 1976 Integer BASIC Steve Wozniak BASIC 1977 FP John Backus none (unique language) 1977 Bourne Shell
Timeline of programming languages
Timeline_of_programming_languages
Computational operation
{\displaystyle a{\bmod {1}}} is always 0, for any integer a. When exactly one of a or m is negative, the basic definition breaks down, and programming languages
Modulo
1978 home computer
KB ROM incorporates integer BASIC, with floating point BASIC available as an external ROM (an extension of Ron Cenker's 1802 BASIC). According to Joe Miller
CyberVision_2001
Optimization technique for solving (mixed) integer linear programs
b} . Consider now a basic variable x i {\displaystyle x_{i}} which is not an integer. Rewrite the above equation so that the integer parts are added on
Cutting-plane_method
Apple II graphics feature
supported via Applesoft BASIC and from machine code in the "Programmer's Aid" package that was bundled with the original Integer BASIC ROMs for that computer
Shape_table
Dialect of the BASIC programming language
the system found in HP Time-Shared BASIC and a number of microcomputer BASICs like Integer BASIC and Atari BASIC. This style of string manipulation differs
SDS_BASIC
Family of programming languages
"double quotation marks". Arrays in BASIC could contain integers, floating point or string variables. Some dialects of BASIC supported matrices and matrix operations
BASIC
Computation modulo a fixed integer
mathematics, modular arithmetic is a system of arithmetic operations for integers, differing from the usual ones in that numbers "wrap around" when reaching
Modular_arithmetic
Property of being an even or odd number
In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. For
Parity_(mathematics)
Comparison of two programming languages
C# and Visual Basic (.NET) are the two main programming languages used to program on the .NET framework. C# and VB.NET are very different languages in
Comparison of C Sharp and Visual Basic .NET
Comparison_of_C_Sharp_and_Visual_Basic_.NET
Number system extending the rational numbers
integer (possibly negative), and each a i {\displaystyle a_{i}} is an integer such that 0 ≤ a i < p . {\displaystyle 0\leq a_{i}<p.} A p-adic integer
P-adic_number
Number-theoretic concept
ring of adeles. In addition, it provides a basic tractable example of a profinite group. The profinite integers Z ^ {\displaystyle {\widehat {\mathbb {Z}
Profinite_integer
Class of subatomic particle
(/ˈboʊzɒn/ /ˈboʊsɒn/) is a subatomic particle whose spin quantum number has an integer value (0, 1, 2, ...). The class of bosons is one of the two fundamental
Boson
Natural number
of Integer Sequences. OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A002559 (Markoff (or Markov) numbers)". The On-Line Encyclopedia of Integer Sequences
1,000,000,000,000
1978 microcomputer trainer kit by RCA
supply Available software included: Tiny BASIC (integer BASIC interpreter) Text Editor Full BASIC (floating point BASIC interpreter using Reverse Polish Notation)
ELF_II
Type of complex number
a number that is a root of a non-zero polynomial in one variable with integer (or, equivalently, rational) coefficients. For example, the golden ratio
Algebraic_number
American video game developer (1978–1999)
(16 Kb) Apple II in 1978 and began modifying the code for Dragon Maze, an Integer BASIC program written by Gary J. Shannon and published in the Apple II Reference
Synergistic_Software
ORCA/C, and several other languages, including ORCA/Modula-2 and ORCA/Integer BASIC. The Byte Works did produce software other than developer tools, although
The_Byte_Works
Commands in some high-level programming languages
direct mode (entered and executed at the BASIC prompt) or in indirect mode (as part of a program): integer_variable = PEEK(address) POKE address, value
PEEK_and_POKE
Open problem on 3x+1 and x/2 functions
numbers, multiply by 3 and add 1. With enough repetition, do all positive integers converge to 1? More unsolved problems in mathematics The Collatz conjecture
Collatz_conjecture
Integer side lengths of a right triangle
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), a well-known
Pythagorean_triple
Arithmetic operation
involving two numbers: the base, b, and the exponent, n. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that
Exponentiation
Natural number
number preceding a cube. As an early prime number in the series of positive integers, the number seven has symbolic associations in religion, mythology, superstition
7
Replacing a number with a simpler value
Typical rounding problems include: The most basic form of rounding is to replace an arbitrary number by an integer. All the following rounding modes are concrete
Rounding
IEEE standard for floating-point arithmetic
some of the possible interchange formats (including the basic formats). In the table above, integer values are exact, whereas values in decimal notation
IEEE_754
Branch of pure mathematics
rational numbers), or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions
Number_theory
Dialect of the programming language BASIC
National Standards Institute (ANSI) Minimal BASIC standard with integer arithmetic only, termed 4K BASIC. Even before the ZX80 was introduced in February
Sinclair_BASIC
Type of subatomic particle
subatomic particle that follows Fermi–Dirac statistics. Fermions have a half-integer spin (spin 1/2, spin 3/2, etc.) and obey the Pauli exclusion principle
Fermion
Algebraic construction
ring of all algebraic integers contained in K {\displaystyle K} . An algebraic integer is a root of a monic polynomial with integer coefficients: x n +
Ring_of_integers
Integer associated with a civil day
ahargaṇa (Kali ahargaṇa number or Kalidina) is an integer associated with a civil day. The integer represents the number of civil days in a collection
Kali_ahargana
Used to count, measure, and label
of Mathematics: A Basic Guide. John Wiley & Sons. p. 181. ISBN 978-0-471-46163-0. Ziobro, R. (2018). "Parity as a Property of Integers" (PDF). Formalized
Number
Apple Computer An abbreviated Applesoft version of Steve Wozniak's Integer BASIC Breakout game. Lode Runner 1983 Douglas E. Smith Broderbund Lords of
List_of_Apple_II_games
Greatest integer less than or equal to square root
number theory, the integer square root (isqrt) of a non-negative integer n is the non-negative integer m which is the greatest integer less than or equal
Integer_square_root
Natural number
only prime triangular number, and Carl Friedrich Gauss proved that every integer is the sum of at most three triangular numbers. Three is the only prime
3
1980 video game
(high-resolution and low-resolution), and text. The game was written in Integer BASIC and was one of the first microcomputer games to be created using multiple
Odyssey: The Compleat Apventure
Odyssey:_The_Compleat_Apventure
Branch of elementary mathematics
Integer arithmetic is about calculations with positive and negative integers. Rational number arithmetic involves operations on fractions of integers
Arithmetic
Programming language used in Texas Instruments calculators
TI-BASIC is the official name of several BASIC-like programming languages used by Texas Instruments' graphing calculators. It is a language family of
TI-BASIC
Alphanumeric code that uniquely identifies a bank account in any participating country
its website. An IBAN is validated by converting it into an integer and performing a basic mod-97 operation (as described in ISO 7064) on it. If the IBAN
International Bank Account Number
International_Bank_Account_Number
1978 video game
computer, Robert Clardy began modifying the code for Dungeon Maze, an Integer BASIC program published in the Apple II Reference Manual (1978) which included
Dungeon_Campaign
Computer arithmetic standards
integer and floating point arithmetic and complex elementary numerical functions, first edition published 2006. Part 1 deals with the basic integer and
ISO/IEC_10967
Natural number
N. J. A. Sloane. "A005278: Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01. Wikimedia Commons has
10
Number divisible only by 1 and itself
The most basic method of checking the primality of a given integer n is called trial division. This method divides n by each integer from 2 up to
Prime_number
Apple II disk operating system
end of support for Integer BASIC, on the original Apple II model, which had long since been effectively supplanted by Applesoft BASIC on the Apple II Plus
Apple_ProDOS
32-bit computer number format
variable of the same bit width at the cost of precision. A signed 32-bit integer variable has a maximum value of 231 − 1 = 2,147,483,647, whereas an IEEE
Single-precision floating-point format
Single-precision_floating-point_format
Monochrome home computer produced by Sanyo
PHC-20 features a built-in BASIC interpreter- in this case a limited, integer-only implementation known as Extended Tiny BASIC. The PHC-20 lacks the printer
Sanyo_PHC-20
Attribute of data
intends to use the data. Most programming languages support basic data types of integer numbers (of varying sizes), floating-point numbers (which approximate
Data_type
Overview of and topical guide to discrete mathematics
varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but
Outline of discrete mathematics
Outline_of_discrete_mathematics
Algebraic structure
high number of properties that they have in common with the ring of the integers. Polynomial rings occur and are often fundamental in many parts of mathematics
Polynomial_ring
operator, rep operator, ALGOL 68-R Steve Wozniak – Breakout, Apple Integer BASIC, cofounded Apple Inc. Will Wright – created the Sim City series, cofounded
List_of_programmers
Mathematical formula involving a given set of operations
considered as basic and connected by arithmetic operations (+, −, ×, /, and integer powers) and function composition. Commonly, the basic functions that
Closed-form_expression
present, one for integers fitting the native word size minus any tag bit (SmallInteger) and one supporting arbitrary sized integers (LargeInteger). Arithmetic
Comparison of programming languages (basic instructions)
Comparison_of_programming_languages_(basic_instructions)
Natural number
highly composite number, and the first colossally abundant number. An integer is determined to be even if it is divisible by two. When written in base
2
Natural number
J4, J3, and J1). 6 is the smallest integer which is not an exponent of a prime number, making it the smallest integer greater than 1 for which there does
6
Product of numbers from 1 to n
factorial of a non-negative integer n {\displaystyle n} , denoted by n ! {\displaystyle n!} , is the product of all positive integers less than or equal to
Factorial
Arithmetic operation
to concrete objects, using abstractions called numbers instead, such as integers, real numbers, and complex numbers. Addition belongs to arithmetic, a branch
Addition
BASIC programming language dialect
point array, but only 4000 if declared as an integer array). Denoting any variable as integer simply causes BASIC to convert it back to floating point, slowing
Commodore_BASIC
based scientific calculator Maxima: a computer algebra system which bignum integers are directly inherited from its implementation language Common Lisp. In
List of arbitrary-precision arithmetic software
List_of_arbitrary-precision_arithmetic_software
travel, tourism, insurance
INTEGER BASIC
INTEGER BASIC
Boy/Male
Hindu
Basically very knowledge and skill this person....and then trust of God, Friendly with all for whom mingled with himself
Boy/Male
Tamil
Baskar | பாஸà¯à®•à®¾à®°
Basically very knowledge and skill this person....and then trust of God, Friendly with all for whom mingled with himself
Baskar | பாஸà¯à®•à®¾à®°
Girl/Female
Danish, Finnish, German, Swedish
Guarded by Ing; Ing's Beauty; Ing's Place
Boy/Male
Greek
Royal. Kingly. St Basil the Great was Bishop of Caesarea in the latter half of the 4th century....
Boy/Male
Norse
Son's army.
Boy/Male
Arabic, Muslim
To Wait
Female
Swedish
Swedish contracted form of Scandinavian Ingegerd, INGER means "Ing's enclosure."
Boy/Male
Tamil
Basic, Foundation
Girl/Female
Scandinavian Teutonic Danish Swedish
Ing's abundance. Feminine of Ing who was Norse mythological god of the earth's fertility.
Boy/Male
Muslim
To wait
Female
Scandinavian
Scandinavian form of Old Norse Ingigerðr, INGEGERD means "Ing's enclosure."
Male
Iranian/Persian
Avestan myth name of the son of Ahura Mazda, derived from the proto-Indo-Iranian word *mitra, MITHRA means "contract, covenant, oath, promise, treaty," from the root mi- "to bind," all of which seems to indicate the basic meaning "alliance; contract; a means of binding."
Boy/Male
German, Norse, Swedish
Guarded by Ing; Ing's Beauty
Boy/Male
Hindu
Basic, Foundation
Boy/Male
Tamil
Basic, Foundation
Male
Turkish
Turkish name TEMEL means "basic, fundamental."
Girl/Female
Hindu, Indian
7 Basic Notes of Music
Boy/Male
Hindu
Basic, Foundation
Girl/Female
American, Australian, Danish, Finnish, German, Scandinavian, Swedish, Teutonic
Guarded by Ing; Ing is Beautiful; Daughter of Hero; Enclosure
INTEGER BASIC
INTEGER BASIC
INTEGER BASIC
INTEGER BASIC
INTEGER BASIC
INTEGER BASIC
INTEGER BASIC
travel, tourism, insurance