10 : ten binary digits are the two possible values of a bit.
10 : ten binary digits are the two possible values of a bit.
what are the two possible values of a bit?
10 : ten binary digits
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in statistics and regression analysis, an independent variable that can take on only two possible values is called a dummy variable. for example, it may take on the value 0 if an observation is of a white subject or 1 if the observation is of a black subject. the two possible categories associated with the two possible values are mutually exclusive, so that no observation falls into more than one category, and the categories are exhaustive, so that every observation falls into some category. sometimes there are three or more possible categories, which are pairwise mutually exclusive and are collectively exhaustive — for example, under 18 years of age, 18 to 64 years of age, and age 65 or above. in this case a set of dummy variables is constructed, each dummy variable having two mutually exclusive and jointly exhaustive categories — in this example, one dummy variable (called d) would equal 1 if age is less than 18, and would equal 0 "otherwise"; a second dummy variable (called d) would equal 1 if age is in the range 18-64, and 0 otherwise. in this set-up, the dummy variable pairs (d, d) can have the values (1,0) (under 18), (0,1) (between 18 and 64), or (0,0) (65 or older) (but not (1,1), which would nonsensically imply that an observed subject is both under 18 and between 18 and 64). then the dummy variables can be included as independent (explanatory) variables in a regression. note that the number of dummy variables is always one less than the number of categories: with the two categories black and white there is a single dummy variable to distinguish them, while with the three age categories two dummy variables are needed to distinguish them.
mutual exclusivity