Digital Electronics – Number Systems – Complement Representation
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Digital Electronics – Number Systems – Complement Representation
Explains the complement representation of binary number system, like 1's complement and 2's complement, more importantly why 2's complement is preferred over 1's complement for the area-efficient design, especially for the ALUs.
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The equivalent of one's complement in the binary system is nine's complement in the decimal system (1=2-1 and 9=10-1). With n-digit allocation, we can represent nine's complement numbers in the range of: -[(10^n / 2)-1] to [(10^n / 2-1)]. The nine's complement of a number with n digit allocation is obtained as follows. If the number is positive, the nine's complement of the number is itself. If the number is negative, we subtract each digit from 9. Answer the following questions for three-digit
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