Is there a standard or common way to write scientific notation in different bases that doesn't require repeating the base in both the coefficient and the exponent base?
For example, this notation is correct, but is quite verbose:
- Implicit base 10: $100 \cdot \tau = 6.283 \times 10^2$
- Explicit base 10: $100 \cdot \tau = 6.283_{10} \times 10_{10}^2$
- Explicit base 16: $100 \cdot \tau = 2.745_{16} \times 10_{16}^2$
Most calculators & programming languages shorten this to an "exponent" notation such as:
6.283e2
Some rare ones even support a base, such as:
16#2.745#e2#
Unfortunately, these are not very nice notations outside of specific domains.
Ideally, I'm looking for an operator notation that concisely does the function:
- $f(coefficient_{b},exponent) = coefficient_{b} \times b^{exponent}$
If there is no such standard or common notation, I'd be happy to hear any suggestions.