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To fully understand operation on ALU, you require to have a good knowledge of representation of positive, negative and fractional numbers in binary number system.

To fully understand operation on ALU, you require to have a good knowledge of representation of positive, negative and fractional numbers in binary number system. In addition, you should understand how the mathematical operations (such as addition and subtraction) are performed on the number system. This lab work will assist you to become proficient with signed-magnitude and twos complement representations and mathematical operations on those representations. All students should able to perform the following tasks manually (without using a computer or calculator).

The following table shows decimal numbers. Convert each decimal number to signed-representation and twos complement equivalent manually in 8 bits (you can use calculator or computer to convert from decimal to binary):

Decimal Number

Signed Representation

Twos Complement Representation

49

-49

14

-14

+127

-127

128

-128

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