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From the two related links, one reason the 2s complement is preferred, because you don't have to worry about the carry bit in 2s complement. Another reason: there is only one identity element in 2s compl., but there are two identity elements in one's complement.

Recall, the Identity Element for Addition and Subtraction is zero. If you add or subtract zero from any number, you get that number back. In 1's complement, there is a representation for zero and negative zero!

Q: Why 2's complement binary subtraction is preffered over 1's complement binary subtraction?

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it was quicker .

Multiplication can be the first step when using the distributive property with subtraction. The distributive law of multiplication over subtraction is that the difference of the subtraction problem and then multiply, or multiply each individual products and then find the difference.

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yes

They both weigh and cost less.

It means that A*(B+C) = A*B + A*C and similarly for subtraction.

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The distributive property is a property that relates to two binary operations and operates over a set.According to the distributive property of multiplication over division, if a, b and c are three elements of a set S, thena*(b + c) = a*b+a*cMultiplication is also distributive over subtraction.

Not by itself. A mathematical operation has properties in the context of a set over which it is defined. It is possible to have a set over which properties are not valid.Having said that, the set of rational numbers is closed under subtraction, as is the set of real numbers or complex numbers.Multiplication is distributive over subtraction.

You simply use more binary digits.

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