Digital Systems: Principles and Design

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Digital Systems

3.2 ARITHMETIC NUMBER REPRESENTATIONS

Arithmetic binary numbers are of three types.

3.2.1 Unsigned Number

An unsigned number is very frequently used in arithmetic. For example, in defining number

of apples, bananas, currency notes, people etc.

Points to Remember

Maximum four bit unsigned number is 15 [1111 binary = 15 decimal (2

4

 1)].

Maximum 16 bit unsigned number is 65535 decimal as 1111 1111 1111 1111 binary =

decimal (2

16

 1).

Maximum 32 bit unsigned number is 1111 1111 1111 1111 1111 1111 1111 1111 binary =

4294967695 decimal (2

32

 1).

3.2.2 Signed Magnitude Number

A signed magnitude number means that it can be positive and negative ...