Texas Instruments Titanium TI-89, User Manual

Page: 767 / 977

764 Appendix A: Functions and Instructions
abs()
MATH/Number menu
abs(
expression1
)
⇒
expression
abs( list1 )
⇒
list
abs( matrix1 )
⇒
matrix
Returns the absolute value of the argument.
If the argument is a complex number, returns the
number’s modulus.
Note: All undefined variables are treated as real
variables.
abs({
p
/2,
ë p
/3})
¸
{
p
2
p
3
}
abs(2
ì
3
i
)
¸
13
abs(z)
¸
|z|
abs(x+y i ) ¸
x 2
+y
2
and
MATH/Test and MATH/Base menus
Boolean expression1 and expression2
⇒
Boolean
expression
Boolean list1
and
list2
⇒
Boolean list
Boolean matrix1
and
matrix2
⇒
Boolean
matrix
Returns true or false or a simplified form of the
original entry.
x
‚
3 and x
‚
4
¸
x
‚
4
{x
‚
3,x
c
0} and {x
‚
4,x
c ë
2}
¸
{x
‚
4 x
c ë
2}
integer1 and integer2
⇒
integer
Compares two real integers bit-by-bit using an
and
operation. Internally, both integers are converted to
signed, 32-bit binary numbers. When corresponding
bits are compared, the result is 1 if both bits are 1;
otherwise, the result is 0. The returned value
represents the bit results, and is displayed
according to the
Base
mode.
You can enter the integers in any number base. For
a binary or hexadecimal entry, you must use the 0b
or 0h prefix, respectively. Without a prefix, integers
are treated as decimal (base 10).
If you enter a decimal integer that is too large for a
signed, 32-bit binary form, a symmetric modulo
operation is used to bring the value into the
appropriate range.
In Hex base mode:
0h7AC36 and 0h3D5F ¸ 0h2C16
In Bin base mode:
0b100101 and 0b100 ¸ 0b100
In Dec base mode:
37 and 0b100
¸
4
Note: A binary entry can have up to 32 digits
(not counting the 0b prefix). A hexadecimal
entry can have up to 8 digits.
Alphabetical Listing of Operations
Operations whose names are not alphabetic (such as +, !, and >) are listed at the end of
this appendix, starting on page 873. Unless otherwise specified, all examples in this
section were performed in the default reset mode, and all variables are assumed to be
undefined. Additionally, due to formatting restraints, approximate results are truncated at
three decimal places (3.14159265359 is shown as 3.141...).
Important: Zero, not the letter O.