Arithmetic in bases 2, 8, and 16 – HP 33s User Manual

Page 140

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10–2

Base Conversions and Arithmetic

{ x

{}

  Base 2.

{ x

{}

) 

Restores base 10; the original
decimal value has been
preserved, including its fractional
part.

Convert 24FF

16

to binary base. The binary number will be more than 12 digits

(the maximum display) long.

Keys:

Display:

Description:

{ x

{%}

24FF



_

Use the

!

key to type "F".

{ 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
10010011111111

2

.

—

  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

q

in any base.

The only function keys that are actually deactivated outside of Decimal mode
a

r e

r

e



,

,

,



,



, 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.

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