HP 33s Scientific manual Range of Numbers, 7FFFFFFFF

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	Negative Integer
		of Largest Magnitude	of Largest Magnitude
Hexadecimal		7FFFFFFFF	800000000
Octal		377777777777	400000000000
Binary		0111111111111111111111	1000000000000000000000
		11111111111111	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.

Base Conversions and Arithmetic 10–5