Chapter 22, Digital data

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Comparison and ones compliment

0100111 = 78

10110001 = - 78

Once you represent the binary number into the opposite number, it becomes negative and therefore, is it's compliment.

10001101 = ?

We work backwards to find if its positive or negative

01110010 = 114

So the first number is the negative compliment.

00010011 = 19

Once you invert it;

11101100 = -19

*If a number starts with 1 and it asks you for the ones compliment, the number starting with one will always be negative.

** Otherwise the starting number will not tell if its positive or negative.

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Twos Compliment

These numbers are in Two's compliment;

7 = 00000111

-7 = 1111100

+1

-7 = 1111101

6 = 00000110

-6 = 11111001

+ 1

- 6 = 11111010

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