Base b Representation of a Number
For any number represented in base 10, compute the representation in any user-specified base.
base(n, base = 10, num.digits = max(0, floor(log(n, base))) + 1)
n |
a non-negative integer (base 10). |
base |
a positive integer greater than 1 indicating what base to represent |
num.digits |
a positive integer indicating how many digits to use to represent |
If b is a positive integer greater than 1, and n is a positive integer, then n can be expressed uniquely in the form
n = a_kb^k + a_{k-1}b^{k-1} + … + a_1b + a0
where k is a non-negative integer, the coefficients a_0, a_1, …, a_k
are non-negative integers less than b, and a_k > 0
(Rosen, 1988, p.105). The function base computes the coefficients
a_0, a_1, …, a_k.
A numeric vector of length num.digits showing the representation of n in base base.
The function base is included in EnvStats because it
is called by the function oneSamplePermutationTest.
Steven P. Millard (EnvStats@ProbStatInfo.com)
Rosen, K.H. (1988). Discrete Mathematics and Its Applications. Random House, New York, pp.105-107.
# Compute the value of 7 in base 2. base(7, 2) #[1] 1 1 1 base(7, 2, num.digits=5) #[1] 0 0 1 1 1
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