User:40bus/Base36
Irrational numbers
[edit]The table below gives the expansions of some common irrational numbers in decimal and hexadecimal.
| Number | Positional representation | |
|---|---|---|
| Decimal | Hexadecimal | |
| √2 (the length of the diagonal of a unit square) | 1.414213562373095048... | 1.6A09E667F3BCD... |
| √3 (the length of the diagonal of a unit cube) | 1.732050807568877293... | 1.BB67AE8584CAA... |
| √5 (the length of the diagonal of a 1×2 rectangle) | 2.236067977499789696... | 2.3C6EF372FE95... |
| φ (phi, the golden ratio = (1+√5)/2) | 1.618033988749894848... | 1.9E3779B97F4A... |
| π (pi, the ratio of circumference to diameter of a circle) | 3.141592653589793238462643382... | 3.53I5AB8P5FSA5JHK71OPJMO7QW5EIBFB9P... |
| e (the base of the natural logarithm) | 2.718281828459045235... | 2.B7E151628AED2A6B... |
| τ (the Thue–Morse constant) | 0.412454033640107597... | 0.6996 9669 9669 6996... |
| γ (the limiting difference between the harmonic series and the natural logarithm) | 0.577215664901532860... | 0.93C467E37DB0C7A4D1B... |