Twelve fair bits and three four-bit words
Checksum Bus samples twelve independent fair bits at round start and keeps the future hidden. Reveal them in order, forming three consecutive four-bit words with the same bit order in each word. Terminal reward is one if the bitwise XOR of all three words equals0000, otherwise zero.
For each corresponding bit position, XOR is zero when the number of ones is even. The first two words determine the unique third word that completes the checksum. Quote calculation uses only the revealed prefix; it does not peek at future bits, generate quote-time randomness or reroll the sampled path.
Exact checksum examples and reveal probabilities
For first word0101 and second word0011, their XOR is0110. Third word0110 therefore gives terminal reward one, while0111 gives zero. There are256 successful sequences among all4,096 equally likely twelve-bit paths, so initial mean reward and success probability are1/16, or0.0625.
During the first eight reveals, success remains possible with probability1/16 and the quote stays0.97. During the third word, each successive matching bit doubles the quote to1.94,3.88,7.76 and15.52. Any mismatch in that third word makes success impossible and settles immediately at zero.
Current quote and full first-crossing collection
The multiplier is0.97 times the exact conditional success probability divided by1/16. Manual collection credits the captured stake times that current multiplier, including the opening quote0.97. This is gross credit after the stake was deducted, not net profit. There is no second0.97 deduction when collecting.
Choose an auto target before launch:1.2,1.5,2,3 or5. The first qualifying upward crossing pays the full actual crossing quote before a later reveal can fail. Targets1.2 and1.5 first cross at1.94;2 and3 at3.88;5 at7.76, provided the corresponding checksum prefix matches. The twelfth reveal settles automatically if the round has not already ended.
Every permitted stopping policy based on revealed information has97% exact expected gross virtual return under this finite conditional-value model. A chosen collection rule changes outcome distribution without raising expectation. The figure is not a97% winning probability, guaranteed session balance or prediction of the hidden bits.
Captured rounds and the persisted wallet
A new browser wallet starts with1,000 free virtual coins. Settled balance and fractional-credit carry persist locally, so reload does not replenish settled funds. Fractional returns accumulate before whole coins are credited. Collecting a20-coin stake immediately at0.97 gives19.4 gross coins before carry handling, rather than a20-coin refund.
A round captures its stake and preselected auto target. Settings and refill lock while it is active. Optional free refill is available only while idle with balance below ten; it sets balance to1,000 and preserves fractional carry. Coins cannot be bought, transferred, redeemed or withdrawn. The wallet is not an authentication account or a store for security secrets.
Evidence limits for outside services
This guide makes no licensing, legitimacy or safety verdict about a separate business. Establish its exact identity and trusted source independently before relying on an external claim. HTTPS encrypts transport to a chosen host without authenticating a commercial identity.
Checksum Bus calculations establish only the probability model of this simulator. They cannot verify a casino, security service, outside app, account or transaction. A working browser interface and matching name do not establish affiliation.
Frequently asked questions
Does this website provide two-factor login codes?
No. It offers an independent XOR simulator, without authentication, secret-key processing or an account recovery service.
What determines terminal reward?
The bitwise XOR of three consecutive four-bit words. Zero XOR gives reward one; any other XOR gives zero.
How likely is a full checksum success initially?
Exactly1/16:256 of the4,096 equally likely twelve-bit sequences succeed.
Does the quote change during the first eight reveals?
No. Conditional success probability remains1/16 and the quote remains0.97 until the third word starts.
