HP 33s Scientific manual Arithmetic in Bases 2, 8, 10-2Base Conversions and Arithmetic

{x{}		Base 2.
{x{}	)	Restores base 10; the original
		decimal value has been
		preserved, including its fractional
		part.

Convert 24FF16 to binary base. The binary number will be more than 12 digits (the maximum display) long.

Keys:	Display:	Description:
{x{%}		Use the !key to type "F".
24FF	_
{x{}		The entire binary number does not
		fit. The § annunciator indicates
		that the number continues to the
		left.
˜		Displays the rest of the number.
		The full number is
		100100111111112.
—		Displays the first 12 digits again.
{x{}	8 )	Restores base 10.

Arithmetic in Bases 2, 8, and 16

You can perform arithmetic operations using ›, …, z, and qin any base. The only function keys that are actually deactivated outside of Decimal moder

areŽ, , , , , and !. However, you should realize that most operations other than arithmetic will not produce meaningful results since the fractional parts of numbers are truncated.

Arithmetic in bases 2, 8, and 16 is in 2's complement form and uses integers only:

„If a number has a fractional part, only the integer part is used for an arithmetic calculation.

„The result of an operation is always an integer (any fractional portion is truncated).

Whereas conversions change only the displayed number and not the number in the X–register, arithmetic does alter the number in the X–register.

10–2Base Conversions and Arithmetic