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Lecture 6. Excess Notation. Excess Notation. Excess 8 notation indicates that the value for zero is the bit pattern for 8, that is 1000 The bit patterns are 4 bits long Positive numbers are above it in order and negative numbers are below it in order. .

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Lecture 6

Lecture 6

Excess Notation


Excess notation
Excess Notation

Excess 8 notation indicates that the value for zero is the bit pattern for 8, that is 1000

The bit patterns are 4 bits long

Positive numbers are above it in order and negative numbers are below it in order. 


Figure 1 24 an excess eight conversion table
Figure 1.24 An excess eight conversion table


Excess notation continue
Excess Notation (continue)

That is the zero point for Excess 128 notation is 128;  the zero point for excess 64 notation is 64; and so forth.

For example, let's say we want to determine the pattern for 15 in Excess 128 notation. 

The decimal number would be 128 + 15, or 143.  Therefore, the bit pattern would be 10001111. 



Example1
Example1

A computer stores decimal integer values in 8 bits, using excess-128 notation. How would the decimal value -60 stored?

Solution:

stored number = -60 + 128

= 6810 (10001002)


Example 2
Example 2

The binary number, 0101 1101, is in excess-128 notation. What is the number in decimal?

Solution:

0101 1101 = 0*128 + 64 + 0*32 + 16 +8 + 4 +

0*2 + 1

= 93 in excess-128

actual number = 93 – 128 = -35