Original Game Mechanics and Scoring
Nine independent fair bits fill a 3 × 3 matrix by rows, giving 512 equally likely boards. Its raw reward is the matrix rank over real numbers minus its rank over GF(2), where addition is modulo two. Rank counts independent rows or columns; the real rank is determined by exact integer minors.
Only six boards have reward 1; the other 506 have reward 0. Select power 1, 2 or 3 before drawing. All powers give identical payouts here, because both 0 and 1 are unchanged by these powers. Their exact means are all 6/512 = 0.01171875. Gross multiplier is 0.96 × reward**power / mean: 81.92 when reward is 1, otherwise zero. Expected gross return is 96%, not a promised session result.
Select stake 10, 20, 50 or 100 virtual coins. Defaults are stake 20 and power 1. The whole stake is deducted and saved when a draw starts. At settlement, add previous carry to stake × gross multiplier, credit the floor, and save the fractional remainder. A zero-return draw preserves carry. Gross returns include the stake and are not profit.
For example, rows (0,1,1), (1,0,1), (1,1,0) have real rank 3 and binary rank 2, so reward is 1. With stake 20 and zero carry, the gross amount is 1638.4: credit 1638 and retain carry 0.4. The resulting balance from 1000 is 2618 after the captured stake.
Modes, Controls, and Stake Selection
The wallet starts with 1000 virtual coins without cash value. While idle and below 10, you can manually set the whole-coin balance to exactly 1000. This replaces the low balance, does not add 1000, and preserves carry. Current balance, including zero, and carry persist on reload.
Stake, power and restoration lock during drawing; sound remains available. There is no Auto, Stop, early cash-out or automatic queue. An unfinished reload gives no refund, payout or resume. Its captured stake remains deducted, and selections reset to stake 20 and power 1.
Expected Return and Mathematical Evidence
Nine independent fair bits fill a 3 × 3 matrix by rows, giving 512 equally likely boards. Its raw reward is the matrix rank over real numbers minus its rank over GF(2), where addition is modulo two. Rank counts independent rows or columns; the real rank is determined by exact integer minors.
Only six boards have reward 1; the other 506 have reward 0. Select power 1, 2 or 3 before drawing. All powers give identical payouts here, because both 0 and 1 are unchanged by these powers. Their exact means are all 6/512 = 0.01171875. Gross multiplier is 0.96 × reward**power / mean: 81.92 when reward is 1, otherwise zero. Expected gross return is 96%, not a promised session result.
Wallet Behavior and Settlement
The wallet starts with 1000 virtual coins without cash value. While idle and below 10, you can manually set the whole-coin balance to exactly 1000. This replaces the low balance, does not add 1000, and preserves carry. Current balance, including zero, and carry persist on reload.
Stake, power and restoration lock during drawing; sound remains available. There is no Auto, Stop, early cash-out or automatic queue. An unfinished reload gives no refund, payout or resume. Its captured stake remains deducted, and selections reset to stake 20 and power 1.
Mathematical Evidence
Saved simulations contain one million rounds per power, three million in total. Measurements are sample observations, not the payout law. The same theoretical distribution can have different sample measurements.
| Power | Expected gross return | Measured (1M rounds) |
|---|---|---|
| 1 | 96% | 96.62464% |
| 2 | 96% | 96.33792% |
| 3 | 96% | 96.33792% |
Identity and Privacy
No outside operator, licence, official app, business history, reputation or financial service is verified here. This guide hosts its own original virtual-coin demo and does not certify an outside product. No account or payment service is offered.
The current balance and fractional carry are stored in localStorage. Clearing browser cached files alone may leave the wallet intact; removing this site’s localStorage clears the saved balance and carry. Local wallet storage does not establish anonymity or exclude other processing.
The published page requests Google Fonts stylesheets and font files and Statinside44 site-counter resources. These observations are not an exhaustive privacy audit and do not establish retention, sale, anonymity or security guarantees.
Frequently asked questions
How is the reward calculated in Real-Binary Gap?
The reward is based on a 3 by 3 matrix of nine fair bits. The score is the rank of the matrix over the real numbers minus its rank over GF(2). This raw reward is raised to a power (1, 2, or 3) and normalized by its exact mean, resulting in a 96% expected gross return.
What happens to my balance if I reload the page?
An unfinished reload gives no refund, payout or resume; the captured stake stays deducted. Current balance and carry persist, and controls reset to stake 20 and power 1.
Can I cash out early or play automatically?
No. There is no early cash-out or automatic queue. Each board captures one whole stake per complete draw, and you must manually select your stake and initiate each round.
