One integer, four spellings. Binary and standard ternary paste a - in front for negatives; balanced ternary puts the sign inside every digit, so 2 is written +- (3 − 1). Type in any field — the other three follow.
decimal
base 10 · digits 0-9
binary
base 2 · digits 0, 1
32168421
ternary
base 3 · digits 0, 1, 2
27931
balanced ternary
base 3 · digits - 0 +
8127931
binary
two digits, and a '-' for the sign — the sign bit, glued to the front.
ternary
binary's grown-up: adds the digit 2, so 364 fits in six places instead of nine.
balanced ternary
every digit carries its own sign. 2 is +- because 3 − 1 = 2; a minus sign is never needed.
word dial
6 trits · set each switch to -0+
243
81
27
9
3
1
reads0+---081 -27 -9 -3 =42
number ring
0+---042
729 states · wraps at the seam
count in every base at once
0 .. +364
decimal42
binary101010
ternary1120
balanced+---0
Watch the balanced column take two steps per power of three: +, +-, +0, ++, +-- — the most significant trit rolls over a beat late, because three turns one −1 into a carry.