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计算机组成教学课件:Chapter9 Arithmetic
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2022-05-10
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计算机组成教学课件:Chapter9 Arithmetic
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Chapter 9
Arithmetic
2
Contents
9.1 Integer Representation
9.2 Addition and Subtraction of Signed Numbers
9.3 Design of Fast Adders
9.4 Multiplication of Unsigned Numbers
9.5 Multiplication of Signed Numbers
9.6 Integer Division
9.7 Floating-Point Numbers and Operation
Summary
3
9.1 Integer Representation
Unsigned Representation
Implies that the representation does not have a
separate bit to represent the sign bit of the
number.
Note that numbers can be either positive or
negative in some unsigned representation.
Unsigned Integer
Unsigned Non-Negative Representation
Unsigned Two’s Complement Representation
4
9.1 Integer Representation
Unsigned Non-Negative Representation
Treats every number as either zero or a positive
value.
This representation can only represent non-
negative numbers.
A n-bit number can have a value ranging from 0 to
2
n
-1.
Example: An 8-bit word could be used to
represent the numbers from 0 to 255
10000000 = 128
11111111 = 255
5
9.1 Integer Representation
Unsigned Two’s Complement Representation
This representation can represent both positive
and negative numbers.
A positive number (or zero) is represented exactly
the same as in non-negative representation.
A negative number is represented as the bitwise
complement of its absolute value +1.
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