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The Representation Of Numbers; Negative Numbers - HP 35s User Manual

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
()


()

()

()

The Representation of Numbers

Although the display of a number is converted when the base is changed, its stored
form is not modified, so decimal numbers are not truncated — until they are used in
arithmetic calculations.
When a number appears in hexadecimal, octal, or binary base, it is shown 36 bits
(12 octal digits or 9 hexadecimal digits). Leading zeros are not displayed, but they
are important because they indicate a positive number. For example, the binary
representation of 125
which is the same as these 36 digits:
000000000000000000000000000001111101b

Negative Numbers

The leftmost (most significant or "highest") bit of a number's binary representation is
the sign bit; it is set (1) for negative numbers. If there are (undisplayed) leading
zeros, then the sign bit is 0 (positive). A negative number is the 2's complement of
its positive binary number.
Keys:

()
11-6
Base Conversions and Arithmetic and Logic
b



is displayed as:
10
1111101b
Display:
Changes to base 2; BIN
annunciator on. This
terminates digit entry, so no
the numbers.
Result in binary base.
Result in hexadecimal base.
Restores decimal base.
Enters a positive, decimal

number; then converts it to
hexadecimal.
is needed between
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