HP 33s hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 143

Range of Numbers, Range of Numbers for Base Conversions, Positive Integer, of Largest Magnitude

Page 143 highlights

Range of Numbers The 36-bit word size determines the range of numbers that can be represented in hexadecimal (9 digits), octal (12 digits), and binary bases (36 digits), and the range of decimal numbers (11 digits) that can be converted to these other bases. Range of Numbers for Base Conversions Base Hexadecimal Octal Binary Decimal Positive Integer of Largest Magnitude Negative Integer of Largest Magnitude 7FFFFFFFF 800000000 377777777777 400000000000 0111111111111111111111 1000000000000000000000 11111111111111 00000000000000 34,359,738,367 -34,359,738,368 When you key in numbers, the calculator will not accept more than the maximum number of digits for each base. For example, if you attempt to key in a 10-digit hexadecimal number, digit entry halts and the ¤ annunciator appears. If a number entered in decimal base is outside the range given above, then it produces the message !  in the other base modes. In RPN mode, the original decimal value of any too-big number is used in calculations. Any operation that results in a number outside the range given above causes OVERFLOW to be briefly displayed. The display then shows the largest positive or negative integer representable in the current base. In ALG mode, any operation (except +/- in the entry line but not in a variable prompt) using ! displays the ¤annunciator. Base Conversions and Arithmetic 10-5

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Base Conversions and Arithmetic
10–5
Range of Numbers
The 36-bit word size determines the range of numbers that can be represented in
hexadecimal (9 digits), octal (12 digits), and binary bases (36 digits), and the
range of decimal numbers (11 digits) that can be converted to these other bases.
Range of Numbers for Base Conversions
Base
Positive Integer
of Largest Magnitude
Negative Integer
of Largest Magnitude
Hexadecimal
7FFFFFFFF
800000000
Octal
377777777777
400000000000
Binary
0111111111111111111111
11111111111111
1000000000000000000000
00000000000000
Decimal
34,359,738,367
–34,359,738,368
When you key in numbers, the calculator will not accept more than the maximum
number of digits for each base. For example, if you attempt to key in a 10–digit
hexadecimal number, digit entry halts and the
annunciator appears.
If a number entered in decimal base is outside the range given above, then it
produces the message
in the other base modes. In RPN mode, the
original decimal value of any too–big number is used in calculations. Any
operation that results in a number outside the range given above causes
OVERFLOW to be briefly displayed. The display then shows the largest positive or
negative integer representable in the current base. In ALG mode, any operation
(except +/– in the entry line but not in a variable prompt) using
displays
the
annunciator.