Saturday, August 26, 2017

NBC: Number Base Converter

Update Sep 3, 2017

Number Base Converter
NBC

How to Use

  • Type/paste the number input.
  • Change the input number base (the from input box) if needed. Minimum 2 (binary, base-2), maximum 62 (sixtytwoy, base-62). Sixtytwoy is sixty two and -y suffix. It's not actually negative why.
  • Change the output number base (the to input box) to certain number base you wanna convert to. Same limit applies.
  • The calculation result will be automatically displayed.

Details

  • Only accepts integer.
  • The minimum base is 2, with maximum of 62.
  • The characters used here are:

    Default sequence:

    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z

    Uppercase first sequence:

    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z

    Total length: 62

    You can switch the order of lowercase and uppercase sequence by hitting the SWITCH button.

  • For converting number in base more than 10, please make sure you put correct letter case. Or, use the SWITCH button to switch around.

Non-Decimal Sequence Examples

  • Base-4
    0, 1, 2, 3, 10, 11, 12, 13, 20, 21, 22, ...
  • Base-11
    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1a, 20, ...
  • Base-39
    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, A, B, C, 10, 11, 12, 13, ...

Usage

  • For switching between different radix (number base), surely.
  • You could also put name or other with letters in it (without space or other besides number and A to Z letters). Just make sure the from base is 62.
    You could combine this with ANC to observe patterns.

36, 62, 26 (& 52 (& 13))

As you can see, if we just used one particular letter case (either lower or upper), the total characters reference would be: 10 (0 to 9) + 26 (A to Z) = 36.
|√36| = 6.

Since we use both letter cases in this, so the total length of the reference is 62.
62 = 2 × 31.
Total letters from A to Z (A, B, C, D, ..., Z) is 26. It's flipped 62.

The GCF (Greatest Common Factor) of 36 and 62 is 2.

The LCM (Least Common Multiple) of 36 and 62 is 1116. 36 looks like 1116.

26 is the total letters within A to Z if we do not include the different letter cases.
26 = 2 × 13.

52 is the total letters within A to Z if we include the different letter cases. Or total cards in a (French) card deck without the Joker(s). Spade, club, heart, and diamond suits playing cards -- jeu de cartes. Among many variants of games with cards, there's trump.
52 = 4 × 13 or 2 × 26.

The GCF (Greatest Common Factor) of 36, 62, and 26 (or 52 -- 26 twice) is 2.

The LCM (Least Common Multiple) of 36, 62, and 26 (or 52 -- 26 twice) is 14508. The isopsephy of 14508 is 9, the highest number of decimal (0-9). Therefore, 14508 is multiple of 9. Couple multiplications (from factorization) that yield 14508 are 13 × 1116 and 36 × 403.
403 = 13 × 31.

Sjoch, nijsgjirrich..

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