Texas Instruments TI-89 User Manual - Page 786

Alphabetical Listing of Operations Operations whose names are not alphabetic (such as +, !, and >) are listed at the end of this appendix, starting on page 900. 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...). 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,ëp/3}) ¸ abs(2ì3i) ¸ abs(z) ¸ abs(x+yi) ¸ {p2 p3} 13 |z| x2+y2 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 x,3 and x,4 ¸ x,4 {x,3,x0} and {x,4,xë2} ¸ {x , 4 x  ë2} Returns true or false or a simplified form of the original entry. integer1 and integer2 ⇒ integer In Hex base mode: 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. 0h7AC36 and 0h3D5F ¸ 0h2C16 Important: Zero, not the letter O. In Bin base mode: 0b100101 and 0b100 ¸ 0b100 You can enter the integers in any number base. For a binary or hexadecimal entry, you must use In Dec base mode: the 0b or 0h prefix, respectively. Without a prefix, 37 and 0b100 ¸ 4 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. Note: A binary entry can have up to 32 digits (not counting the 0b prefix). A hexadecimal entry can have up to 8 digits. 786 Appendix A: Functions and Instructions