One whole binary matrix
Nine independent fair bits form one 3 by 3 matrix: each entry is zero or one with equal probability. The game computes the rank over binary arithmetic, GF(2), using XOR row elimination. The raw score is the larger of zero and rank minus one. Rank zero or one scores zero; rank two scores one; rank three scores two.
The whole matrix uses one captured stake. There are no independent row payouts, equal row shares, adjacent-lamp groups or paylines. Low weighting takes the square root of a positive raw score, Medium keeps it and High squares it. Zero remains zero in every mode.
512 boards and expected gross return
All 512 binary boards are equally likely. Each weighting has its own exact mean over those boards. Gross credit is the captured stake times 0.96 times the transformed score divided by that mean. Every mode therefore has 96% expected gross virtual return. The raw score and transformed weight are not final payout multipliers.
For rank three, raw score is two and the unnormalised Low, Medium and High weights are the square root of two, two and four. These need their respective normalising factors. Rank zero and rank one both remain unpaid. Transformations preserve all zeros and positive scores, so they do not change positive-result frequency.
The credited return includes the stake component; net wallet change subtracts the stake already spent. Expected return is not a guaranteed session balance or a 96% winning chance. Random bits remain random even though rank calculation and probability enumeration are exact. Patterns and past boards do not create a future advantage.
Captured rounds and persistent free coins
A new browser wallet starts with 1,000 free virtual coins. Balance and fractional-credit carry persist in localStorage, so refresh does not replenish settled funds. Free refill is optional and available only when the game is idle with balance below the minimum stake of 10. It sets balance to 1,000 and preserves carry.
The round captures its stake and weighting. Settings and refill lock during settlement and an automatic queue. Automatic play runs at most ten rounds; Stop prevents future rounds while the active round finishes. No deposit or account is needed. Coins cannot be bought, transferred, withdrawn or used in a currency conversion.
Local data and external requests
Browser localStorage keeps the settled virtual balance and fractional-credit carry. Pages request Google Fonts and a Statinside analytics script. Hosting, CDN and third-party requests may expose IP address, browser, device, path and request details. No anonymity, particular retention period, cookie lifetime or complete processing profile is established.
This guide has no registration or identity-document form. That does not mean browsing produces no personal data or that records cannot be linked to someone. Cache clearing alone may leave localStorage intact. Removing site data can erase the wallet without deleting requests or records already held elsewhere. Free refill changes local game state; it is not a data-deletion tool.
Authenticate a separate source
This guide does not declare an external business legitimate, safe or licensed. Establish the exact company and domain independently before relying on a separate offer. An HTTPS connection encrypts transport to the selected host; it does not certify the business behind that host. A matching product name, advert or search snippet is also insufficient.
For any claimed certificate or authorisation, verify the exact entity, domain and scope with the issuing source. No regulator, testing body, certification seal or commercial identity is authenticated for a gaming service here. Our binary-matrix calculations describe only our simulator and cannot validate an external seller, app or transaction.
Binary rank worked examples
The all-zero board has rank zero and score zero. A board with just one lit entry has rank one and also scores zero. The diagonal board with rows [1,0,0], [0,1,0] and [0,0,1] has three independent rows, rank three and score two.
Binary arithmetic matters: adding rows means XOR, with one plus one equal to zero. For rows [1,1,0], [1,0,1] and [0,1,1], the third is the XOR of the first two. Their binary rank is two and raw score one. Counting lit cells or applying ordinary real-number rank would describe a different rule. The display illustrates the sampled board; it does not let you choose bits after staking.
Frequently asked questions
Does a currency query establish a gaming operator?
No. This independent site has its own simulator and is not a live-rate service or currency exchanger.
What scores does binary rank produce?
Rank0 or1 scores0; rank2 scores1; rank3 scores2. The whole3x3 matrix uses one stake, not separate row shares.
Are raw scores the final payout multipliers?
No. Square root, identity and square weights each need their own exact normalisation over 512 equally likely boards.
Does 96% guarantee a winning chance or final balance?
No. It is expected gross virtual return relative to stake. Positive-result frequency and session balance are different quantities.
Do modes change positive-result frequency?
No. They preserve zeros and positive scores while changing normalised reward amounts.
When can I refill?
Only while idle below the minimum stake of 10. Free refill sets balance to 1,000 and preserves fractional carry.
Does refresh replenish coins?
No. Balance and fractional carry persist locally; refresh is not a free refill.
What does Stop do in auto mode?
It cancels future rounds; an active round settles. An automatic queue runs at most ten rounds.
Can coins be withdrawn or exchanged?
No. They have no cash value, transfer facility or relationship to currency exchange.
Does no account guarantee anonymous browsing?
No. Hosting, CDN and third-party requests can expose technical information without registration.
Open our free Binary Rank browser simulator.
Play the free demo