Range of numbers – HP 33s User Manual

Page 143

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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.

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