Factorial Number System/Examples/2000
Example of Number expressed in Factorial Number System
$2000$ can be expressed in factoradic as:
- $2000_{10} = 243 \, 110_!$
| \(\ds 2000\) | \(=\) | \(\ds 2 \times 6! + 560\) | as $6! = 720$ | |||||||||||
| \(\ds \) | \(=\) | \(\ds 2 \times 6! + 4 \times 5! + 80\) | as $5! = 120$ | |||||||||||
| \(\ds \) | \(=\) | \(\ds 2 \times 6! + 4 \times 5! + 3 \times 4! + 8\) | as $4! = 24$ | |||||||||||
| \(\ds \) | \(=\) | \(\ds 2 \times 6! + 4 \times 5! + 3 \times 4! + 1 \times 3! + 2\) | as $3! = 6$ | |||||||||||
| \(\ds \) | \(=\) | \(\ds 2 \times 6! + 4 \times 5! + 3 \times 4! + 1 \times 3! + 1 \times 2!\) | as $2! = 2$ | |||||||||||
| \(\ds \) | \(=\) | \(\ds 2 \times 6! + 4 \times 5! + 3 \times 4! + 1 \times 3! + 1 \times 2! + 0 \times 1!\) |