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    ELEMENTS OF BASIC STRUCTURE

    24.1 INTRODUCTION

    In this lesson, you will be introduced to a programming language called BASIC. It is the most

    popular conversational programming language. Various versions of BASIC have been

    developed by computer manufacturers for their computers. This language is quite simple to

    understand and has been adopted by most of the microcomputers. It is suitable for both

    mathematical and business problems. It has been specially designed for use in `time-sharing'

    environment but can also be used as a standard language in a `batch-processing' environment.

    24.2 OBJECTIVES

    At the end of this lesson, you should be able to

    know how to construct constants, variables in BASIC language and expression using

    mathematical, relational and logical operators.

    learn the structure and essential elements of BASIC.

    use some elementary BASIC commands in small programs.

    24.3 BASIC AS A PROGRAMMING LANGUAGE

    Basic is quite simple language and easy to understand. It is becoming more popular as an

    interactive language. Now we shall discuss various features of this language.

    24.3.1 Why BASIC?

    B in BASIC stands for Beginners. Obviously, it is meant for those who are about to start

    learning programming. To qualify as a beginner's language, it has to be simple, easy and

    readily available. BASIC has all the qualities. Although, it is the beginner's language, its use

    by no means is restricted to basic computer education or elementary applications. The second

    alphabet A stands for all-purpose. It means BASIC can be used for a variety of applications

    involving business, science, mathematics and graphics. In fact, with new enhancements,

    BASIC has some of the powers of more advanced languages. The all purposeness is also

    derived from the fact that very large segments of games and computer courseware are written

    in BASIC. The other three letters i.e. SIC stand for Symbolic Instruction Code -- means the

    instructions may not be exactly in English but expressed in symbols.

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    The advantages of BASIC can be summed up as follows:

    BASIC is easy to learn and fun to practice. It may be called a `People's language'.

    It is available almost in every computer from micro to mainframe. Therefore, a program

    developed in a micro can run on bigger system with minor modifications.

    Program development cycle is quick, debugging is simple, and

    Modification of programs is quite easy.

    24.3.2 History of BASIC

    Conceived by John Kemeny and Thomas Kurtz, BASIC was born at Dartmouth College,

    USA in 1964. It had a rather humble beginning. The classical languages like COBOL or

    FORTRAN were already developed. COBOL, in fact, was already established as the major

    data processing language. FORTRAN on the other hand, became the principal programming

    language for scientific applications. Both these languages, however, were not very simple to

    learn. There were extensive rules on syntax and structure of the programs. Because of its

    simplicity, BASIC gained immediate popularity. It became a widely used language for small

    commercial and scientific applications. BASIC had the same impact on the world of

    programming languages as the PC had on the larger computer systems. BASIC's popularity

    and acceptance by the user community compelled all the major computer manufacturers tocome out with their individual version of BASIC. When the microcomputer or PCs were

    introduced, BASIC found a most convenient vehicle for its proliferation. The ease and

    simplicity of BASIC made it the standard programming language for the microcomputer

    world. Even your MS-DOS operating system comes with a BASIC interpreter called

    BASICA. (MS-DOS 3.2 onwards, a more enhanced BASIC version, i.e., GWBASIC forms

    the part of the operating system.) American National Standards Institute (ANSI) in 1978

    came out with a standardised version of BASIC language. Most of the versions of the

    currently available BASIC include the features of the ANSI standard.

    24.4 STRUCTURE OF BASIC

    The general structure of standard BASIC language is best understood by a practical program.

    The following small program prints the words WELCOME TO NATIONAL OPEN

    SCHOOL on the screen:

    10 REM: This is my first program

    20 PRINT"WELCOME TO NATIONAL OPEN SCHOOL"

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    30 END

    Keeping this program in view, let us go over the rules on the structure of the language.

    These are:

    Each statement of instruction must appear on a separate line. A statement cannot exceed 80 characters i.e. one line on the terminal.

    A statement must start with a statement number. It is a positive integer.

    No two statements can have the same numbers.

    The statement must be in the ascending order.

    Each statement number is followed by a BASIC command or keyword.

    You may use blank space to increase the readability of the program.

    There is no restriction on blank lines within a program. These are the rules, as applicable to

    standard or "Dartmouth BASIC" as it is called. The Microsoft BASIC i.e. BASICA or

    GWBASIC, however, has provision for more than one statement in the same line and the use

    of keywords also need not follow a line number. But if you strictly follow the rules of

    standard BASIC, the program will still remain valid in Microsoft or any other BASIC. Now

    let us learn about some of the keywords, you came across in the program.

    24.5 ELEMENTARY BASIC STATEMENTS

    In the program, you came across their important BASIC commands or keywords. These are

    REM, PRINT and END. We will briefly discuss REM and END here. The PRINT will be

    discussed in greater details in subsequent lessons. Presently for the purpose of understanding,

    you may take PRINT, as an output instruction. The output may be meant for the terminal (as

    in this case) or it may be directed to a disk file. What is important, is to remember, that in

    BASIC, print does not necessarily mean a print out on a paper; it may mean display on the

    terminal or write on a disk file also.

    24.5.1 REM

    The REM is the short form for REMARKS. At the time of execution, when the interpreter

    comes across the first three alphabets, as the keyword, it knows that the content of the line

    following REM is not meant for execution and is to be ignored. REM is used purely to

    enhance the documentation aspect of a program. It is meant for the reader of the program tounderstand the contents, purpose, logic and other such aspects. Whatever, information on the

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    program, you want to convey to the reader of the program, may be placed after REM. There

    is no limit on the number of REM statements in a program. In fact, it is recommended that

    you get used to judicious and copious use of REM statements. It may not only help the

    reader, but it may also help you in understanding your own programs, particularly if those are

    old or lengthy. At times to enhance the presence of a REM statement you may place a blank

    line above or below a statement. This makes it more visible in lengthy programs. You can

    place a blank line by a PRINT statement. If we want to insert a blank line after the REM

    statement of the program, we may write the program as:

    10 REM : This is my first program

    20 PRINT

    30 PRINT "WELCOME TO NATIONAL OPEN SCHOOL"

    40 END

    24.5.2 END

    The END statement was mandatory in the older BASIC version to indicate the end of a

    program. In other BASIC like Microsoft BASIC, it is not compulsory. In such cases, the

    program terminates at the last or highest line number. Whenever END is used, it must be the

    last line. Any statement after the END is irrelevant to the interpreter. Having been

    familiarised with a small BASIC program, let us now see the elements other than the

    keywords, comprising this language.

    24.6 THE CHARACTER SET

    BASIC has the character set consisting of the following elements:

    (a) Alphabets: A, B, C, ----. Z

    (b) Digits: 0,1,2, ----, 9 and

    (c) Special characters: + - * / ( ) . , $ ; : = > < " ^

    The symbol ^ (caret) is used to denote exponentiation operator, the symbol * (asterisk) is

    used to denote multiplication and the other symbols have their usual meanings. In addition

    these, blank space denoted by the symbol b is also regarded as a character.

    24.7 CONSTANTS AND VARIABLES

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    A quantity in a computer program which does not change its value during the execution of

    the program is called a constant and the quantity which may change its values during the

    execution of the program is called a variable. BASIC allows the following constants:

    Numeric constant

    String constant

    Numeric constant is one that is formed by a sequence of digits 0,1,2, ---, 9 and may include a

    decimal point. A numeric constant known as number may be as integer or a real number. 383,

    + 57, 0, - 6.2 and 6.15E4 are valid numeric constants. The number 6.15E4, in fact, represent

    6.15 104

    . The notation E is used to represent exponential form. The number after E is theexponent which can be positive or negative. However, its length cannot exceed two digits.

    It is also important to keep in mind that

    BASIC does not distinguish between an integer and a fraction.

    Commands are not allowed in a numeric constant

    The limit on the number of digits that can be used varies from computer to computer.

    Normally, a numeric constant can have up to a maximum of eight digits.

    A string constant consists of a sequence of characters. It must be enclosed by a quotation

    mark. This may contain blank space as a character but it should not include the quotation

    mark. String constants are used to represent non-numeric quantities such as names, addresses,

    etc. For example, "PANKAJ GOEL", "SUM = Rs 75", "162" are a few valid string constants.

    In BASIC, variables are also of two types. They are

    Numeric variable

    String variable

    Numeric variable can assume numeric value and is represented by an alphabet or an alphabet

    followed by another alphabet or a digit. For example A, C, A2, ABC, A6 etc, represent

    numeric variables. A string variable is represented by an alphabet followed by dollar ($) sign.

    It should be kept in mind that while constructing the string variable, dollar ($) should be the

    last character. For example, A1$, PKG$, BOOK1$, etc., are valid string variables.

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    IN-TEXT QUESTION 11. The following numbers (constants) are not written correctly. Indicate the errors:

    (a) 4,75,163,

    (b) +-7567

    (c) 3.64E 1.5

    (d) 6.05E

    (e) 6125 -

    2. Which of the following BASIC strings are correct?

    (a) January 26, 1997

    (b) Sixty-two

    (c) 5121942

    (d) 100 - 40 =60

    (e) SUM "10"

    3. Write the following as ordinary numbers:

    (a) 1.23E6

    (b) 1.5E - 5

    (c) - 3E + 2

    (d) 5.865696 E + 6

    (e) - 1.2 E -2

    24.8 ARITHMETIC EXPRESSIONS

    A BASIC system can handle arithmetic expressions involving the five arithmetic operators +

    (addition), - (subtraction), *(multiplication), /(division) and ^ (exponentiation). The hierarchy

    of operations is as follows:

    (i) Exponentiation

    (ii) Multiplication and division

    (iii) Addition and subtraction

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    Thus, in a particular arithmetic expression, the order of execution is as per this hierarchy, i.e.

    all exponentiation operations are performed first, then multiplication/division and the

    addition/subtraction operations are the last to be carried out. Note that within a particular

    hierarchical group, the operations are executed form left to right. Normal hierarchy of

    operations can be altered by use of parentheses. The operations within the innermost

    parentheses are performed first and then the second innermost and so on.

    In addition to this hierarchy of operations, the following rules must be kept in mind in

    arithmetic expression:

    Two operations must not appear together. For example, C+-D, A/-C, etc are not

    permitted.

    String constants and string variables should not be used in arithmetic expressions. For

    example, P+P$ is wrong.

    When brackets are used, they must be used in pairs, i.e., every left bracket must be

    matched with a right bracket.

    Denominator of an expression should not be zero.

    Within a given pair of parentheses, the natural hierarchy of operations will apply.

    Let us take an example where we give BASIC equivalents of a few algebraic expressions

    Algebraic Expression BASIC Equivalent

    2A+B 2*A+BA(B+C) A*(B+C)

    B2-4AC B^2-4*A*C

    24.9 RELATIONAL OR LOGICAL EXPRESSIONS

    A relational expression is formed by using any of the following relational operators:

    Relational Operator Meaning

    = Equal to

    > Greater than< Less than

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    )/()....(.............................. DCBA

    DC

    BA++

    +

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    < = Less than or equal to

    > = Greater than or equal to

    < > Not equal to

    In the execution of programs, it is sometimes desired to compare two numerical quantities (or

    sometimes string quantities) and take decisions on achieving certain conditions. For example,

    we may be interested to check the number of repetitive calculations performed or to find out

    whether the denominator of an arithmetic expression has become zero or if a particular

    quantity is negative, and so on. Expressions written to compare two quantities using certain

    relational operators are known as relational expressions. These expressions take only one of

    the two values, namely, TRUE or FALSE, For instance, the relational expression A > B will

    be true if A is greater than B, otherwise FALSE. This test result is used to change the

    sequence of execution of statements in a program. The general form of a relational expression

    is as follows:

    Relational

    operator

    When expressions are used on either side of the relational operators, the expressions will be

    evaluated first and then the results of expressions compared. This means that relational

    operators come last in the hierarchy of operators.

    Logical expressions are used in IF---THEN Statements to determine the course of action of arunning program.

    24.10 LOGICAL OPERATORS

    Like relational operators, BASIC, also supports logical operators to perform logical operation

    on numerical values. Logical operators are used to connect two or more relations and return a

    TRUE or FALSE value to be used in a decision.

    The common logical operators are:

    AND Conjunction

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    Constantor

    Variableor

    Expression

    Constantor

    Variableor

    Expression

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    OR Disjunction

    NOT Logical Negation

    For example, the expression A > 50 AND B > 150 is TRUE when A is more than 50 and at

    the same time B is more than 150.

    Logical operators return results as indicated in the following tables. T indicates a TRUE and

    F indicates a FALSE. X and Y are relational expressions.

    AND OperatorX Y X AND Y

    T

    T

    F

    F

    T

    F

    T

    F

    T

    F

    F

    F

    OR Operator

    X Y X OR YT

    T

    F

    F

    T

    F

    T

    F

    T

    T

    T

    F

    NOT Operator

    X NOT X

    TF

    FT

    24.11 LIBRARY FUNCTIONS IN BASIC

    The word `library' stands for collection. In the context of computer languages, a library is

    essentially a collection of useful programs. These programs are used by the programmers to

    simplify their task of program development. These programs are often referred as

    subroutines. The programmer does not have to know the details of the sub-routine. Most of

    the programming languages are offered with a number of sub-routines called sub-routine

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    library or library functions. These built-in library functions are used to simplify some useful

    common functions like calculation of square root, log of a number or cosine of an angle.

    BASIC's library is rich with mathematical functions. For example, suppose you want to

    calculate the square root of a numeric variable A. In simple mathematics, square root of A,

    i.e., can be written as A. Thus in BASIC it can be written as:

    10 LET B = A^0.5

    The value of B will be the square root of A. Using a library function the operation can be

    performed as

    10 LET B = SQR(A)

    Of course, from the example, it appears that there is hardly any benefit in using the library

    function. But imagine, if problem is little more complicated like calculation of the sine value

    of an angle or logarithm of a number. The programming algorithm to calculate these is not so

    simple. To find the logarithm of by using LOG function you write

    10 LET Y = LOG (X),

    The variable Y will store the LOG value of X.

    From this example, we may deduce the rules, governing the use of a function.

    (a) Each function is assessed by the function name (LOG, SQR, etc.) followed by the

    function argument placed within the parenthesis.

    (b) The function argument is the information you supply to the function to act upon it. For

    mathematical factions, it has to be a numeric constant or variable. Listed below are some

    examples of mathematical functions in BASIC.

    Function Name Purpose Example

    SIN Sine Calculate the Sine SIN(X)

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    value of an SIN(44/7)

    angle (in radians)

    LOG LOG Calculate the natural LOG(X)

    logarithm of a number LOG(100)

    SQR Square root Calculate the square SQR(A)

    root of a number SQR(100)

    (c) The function name is to be written exactly as given. No deviation is permitted.

    (d) You cannot have a blank space between function name (SIN, LOG etc.) and the beginning

    of the opening parenthesis enclosing the argument.

    It should be noted that a library function program would produce the result faster than a

    BASIC program that has been written to perform the same task. For example, calculation of

    square root by the SQR function will be faster than writing in the form of a program. This is

    due to the fact that library functions are optimised for the particular BASIC interpreter

    provided by the supplier.

    IN-TEXT QUESTION 2

    1. Evaluate the following BASIC expressions:

    (a) 3 * 4/2 3 + 1

    (b) 2 * (3+4) / (5-3) * 7

    2. Write the BASIC expression corresponding to each of the following algebraic expression:

    (a) (x+y) 4

    (b) 2x2 + 5x + 6

    (c) x/y + y/z

    (d) (x-y)4 / (x+y)4

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