base {EnvStats} | R Documentation |
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} + \ldots + a_1b + a0
where k
is a non-negative integer, the coefficients a_0, a_1, \ldots, 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, \ldots, 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