Signed-digit Representation
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High Quality Content by WIKIPEDIA articles! Signed-digit representation of numbers indicates that digits can be prefixed with a (minus) sign to indicate that they are negative. Signed-digit representation can be used in low-level software and hardware to accomplish fast addition of integers because it can eliminate carries. In the binary numeral system one special case of signed-digit representation is the non-adjacent form which can offer speed benefits with minimal space overhead. In balanced form, the digits are drawn from a range k to (b 1) k, where typically k =…mehr

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High Quality Content by WIKIPEDIA articles! Signed-digit representation of numbers indicates that digits can be prefixed with a (minus) sign to indicate that they are negative. Signed-digit representation can be used in low-level software and hardware to accomplish fast addition of integers because it can eliminate carries. In the binary numeral system one special case of signed-digit representation is the non-adjacent form which can offer speed benefits with minimal space overhead. In balanced form, the digits are drawn from a range k to (b 1) k, where typically k = leftlfloorfrac{b}{2}rightrfloor. For balanced forms, odd base numbers are advantageous. With an odd base number, truncation and rounding become the same operation, and all the digits except 0 are used in both positive and negative form.