In the negabinary system an i?bit binary integer, N, is expressed using positional notation as:





This is the same as conventional natural 8421 binary weighted numbers, except that alternate positions have

the additional weighting +1 and ?1. For example, 1101 = (?1 × 1 × 8) + (+1 × 1 × 4) + (?1 × 0 × 2) + (+1 × 1 × 1) = ?8

+ 4 + 1 = ?3. The following 4?bit numbers are represented in negabinary form. Convert them into their decimal

equivalents.



a. 0000

b. 0101

c. 1010

d. 1111


a. 0
b. +4 + +1 = 5
c. ?8 + ?2 = ?10
d. ?8 + +4 + ?2 +1 = ?5

Computer Science & Information Technology

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