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These operators are used to compare numeric quantities (i.e., constants, numeric variables or numeric expressions) or strings, thus forming logical expressions that are either true or false. The operands within a logical expression must be of the same type; i.e., both must be numeric or both must be strings.
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EXAMPLE 3.1
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Several logical expressions involving numeric quantities are shown below. Each logical expression will be either true or false, depending on the value assigned to the numeric variables.
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X = 27 Error <= Abs(x1 - x2) C < Sqr(A + B) Profit > (Gross - Taxes) FLAG <> CUTOFF
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The first expression will be true if X has been assigned a value of 27; otherwise, the expression will be false. Similarly, the second expression will be true if the value assigned to error does not exceed the absolute value of the numeric expression x1 - x2, and so on. Notice that the second and third expressions involve the use of library functions.
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Strings can be tested for equality or inequality, in much the same manner as numeric quantities. However, string expressions involving operators <, <=, > and >= refer to alphabetical ordering; that is, these operators are interpreted as "comes before" or "comes after" rather than "less than" or "greater than." The actual alphabetic ordering is determined by the system used to encode the characters (as, for example, the ASCII character set). String comparisons are carried out on a character-by-character basis, from left to right. Uppercase characters precede lowercase characters, and blank spaces precede nonblank characters. If one string is shorter than the other and all of its characters are the same as the corresponding characters in the longer string, the shorter string is considered to precede the longer string. Thus, car precedes far, Dog precedes dog, cat precedes cats, and so on. EXAMPLE 3.2
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Several logical expressions involving strings are presented below. All variables represent strings. Each logical expression will be either true or false, depending on the particular strings that are assigned to the string variables.
Student = "Smith" char <> "w" Target < City
The first expression will be true if the string assigned to Student is "Smith"; otherwise, the expression will be false. Similarly, the second expression will be true if the string assigned to char is not "w", and the last expression will be true if the string assigned to Target comes earlier in the alphabet than the string assigned to City. Thus, if Target represents "Philadelphia" and City represents "Pittsburgh", the expression will be true.
3.2 LOGICAL OPERATORS In addition to the relational operators, Visual Basic contains several logical operators. They are And, Or, Xor (exclusive Or), Not, Eqv (equivalent) and Imp (implies). The first three operators (And, Or and Xor) are used to combine logical expressions, thus forming more complex logical expressions. And will result in a condition that is true if both expressions are true. Or will result in a condition that is true if either expression is true, or if they are both true; Xor, however, will result in a condition that is true only if one of the expressions is true and the other is false. Not is used to reverse (negate) the value of a logical expression (e.g., from true to false, or false to true). Eqv will result in a condition that is true if both expressions have the same logical value (either both true or both false); and Imp will always result in a true condition unless the first expression is true and the second is false. EXAMPLE 3.3
Shown below are several logical expressions that make use of logical operators.
X = 27 And Student = "Smith" X > 0 And Student <= "Smith" C < Sqr(A + B) Or FLAG <> CUTOFF C < Sqr(A + B) Xor FLAG <> CUTOFF
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[CHAP. 3
Not(Student = "Smith") And (Account = "CURRENT") (Student = "Smith") Eqv (Account = "CURRENT") (Student = "Smith") Imp (Account = "CURRENT")
The first two logical expressions will be true only if both logical operands are true. Thus, the first logical expression will be true if the numeric value assigned to X is 27 and the string assigned to Student is "Smith". (Note that the first logical operand involves numeric quantities whereas the second involves strings.) Similarly, the second logical expression will be true if the numeric value assigned to X exceeds zero and the string assigned to Student is "Smith", or it precedes "Smith". The third logical expression will be true if either logical operand is true; i.e., if the numeric value assigned to C is less than the square root of (A + B), or the value assigned to FLAG differs from the value assigned to CUTOFF. The expression will also be true if both logical operands are true. However, the fourth logical expression will be true only if one of the logical operands is true and the other is false. The fifth logical expression involves both Not and And. In this case, the logical expression will be true only if the string assigned to Student is not "Smith", and the string assigned to Account is "CURRENT". Notice that the Not operator has reversed (negated) the condition for which the first operand will be true. The second-last logical expression will be true if both logical operands are true ("Smith" has been assigned to Student and "CURRENT" has been assigned to Account), or if both logical operands are false. And finally, the last logical expression will be true unless the first logical operand is true ("Smith" has been assigned to Student) and the second is false ("CURRENT" has not been assigned to Account).
The complete hierarchy of arithmetic, relational and logical operators is as follows: Operation 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Exponentiation Negation (i.e., preceding a numeric quantity with a minus sign) Multiplication and division Integer division Integer remainder Addition and subtraction Relationals Logical Not Logical And Logical Or Logical Xor Logical Eqv Logical Imp Operator
^ * \ Mod + = Not And Or Xor Eqv Imp <> < <= > >= /
Within a given hierarchical group, the operations are carried out from left to right. The natural hierarchy can be altered, however, by using parentheses, as described in Sec. 2.6. In particular, note that parentheses can be used with logical expressions, just as they are used with arithmetic expressions.
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