Category:Examples of Number Bases
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This category contains examples of Number Base/Integers.
Let $n \in \Z$ be an integer.
Let $b \in \Z$ be an integer such that $b > 1$.
By the Basis Representation Theorem, $n$ can be expressed uniquely in the form:
- $\ds n = \sum_{j \mathop = 0}^m r_j b^j$
where:
- $m$ is such that $b^m \le n < b^{m + 1}$
- all the $r_j$ are such that $0 \le r_j < b$.
The number $b$ is known as the number base to which $n$ is represented.
$n$ is thus described as being (written) in base $b$.
Thus we can write $\ds n = \sum_{j \mathop = 0}^m {r_j b^j}$ as:
- $\sqbrk {r_m r_{m - 1} \ldots r_2 r_1 r_0}_b$
or, if the context is clear:
- ${r_m r_{m - 1} \ldots r_2 r_1 r_0}_b$
Subcategories
This category has the following 5 subcategories, out of 5 total.
B
E
- Examples of Binary Notation (6 P)
- Examples of Octal Notation (2 P)
Pages in category "Examples of Number Bases"
The following 5 pages are in this category, out of 5 total.