BINARY ARITHMETIC OPERATIONS...

This topic about Arithmetic Operations is very confusing especially the long method in solving a subtraction but as time goes by I'm luckily understand it while solving more and more problems and exercises. It becomes now easy for me to solve.... ^_^


There are some rules for Binary Addition:

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Binary Addition Rules 

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0 + 1 = 1 

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1 + 0 = 1 

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0 + 0 = 0 

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1 + 1 = 0 (carry one) 

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1 + 1 + carry = 1 (carry one)

Rules for Subtraction:

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Binary Subtraction Rules

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• take the second value (the number to be subtracted) and apply TWO'S COMPLEMENT (change 1 for 0 and 0 for 1)

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• add 1 to the result (of two’s complement)

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• add the complemented value to the first value;  during addition we disregard the last carry

Rules for Multiplication:

Binary Multiplication Rules

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• Binary multiplication can be achieved in a similar fashion to multiplying decimal values.  

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• Multiply each digit using the standard method;  

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• Add the results using the binary addition rules 

Rules for Division:

Binary Division Rules

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• Binary division can be achieved in a similar fashion to dividing decimal values.  

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• Divide the divisor from the dividend 

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• Use the simple subtraction rules whenever necessary, as follows: 

•0 – 0 = 0   

•1 – 1 = 0   

•1 – 0 = 1   

•0 – 1 = 1 (with borrow)