Binary Serial Number

What is a binary serial number?

A binary serial number is an eight-digit banknote serial built from exactly two distinct digits. In 00110011, the only digits are 0 and 1. The leading zeros are part of the serial, so keep all eight positions when checking a note.

The prefix letter and the final letter or star are separate from the digit pattern. A binary note can use any two decimal digits, including 2 and 7, provided both appear at least once and no third digit appears.

Binary vs true binary

The checker calls a serial Binary when it has exactly two distinct digits. Its separate True Binary rule checks that every position is 0 or 1. Thus 00110011 matches both rules, while 27272727 is Binary but not True Binary. A solid 00000000 satisfies the all-0/1 test itself, but the scoring system treats solids separately; it does not satisfy the exactly-two-digits Binary rule.

A trinary has exactly three distinct digits. That is the practical binary vs trinary serial number split; compare the trinary entry in the pattern directory for its own examples.

For the neighboring category, see the trinary pattern guide.

Binary examples and non-examples

Check the full eight-character digit string, including leading zeros. These examples show why a two-digit alphabet, rather than a specific pair or arrangement, determines the basic label.

How rare is a binary note?

For eight positions with leading zeros allowed, choose the two digits in 45 ways (10 choose 2). Each pair can fill eight positions in 256 ways (2 to the eighth power), but two of those use only one digit. That leaves 254 strings per pair, or 45 × 254 = 11,430 qualifying binary strings among 100,000,000 possible eight-digit strings. The resulting odds are about 1 in 8,749.

These are mathematical string odds under the checker's exactly-two-digits rule. They are not a claim about how many notes were printed, survived, or are offered for sale.

How much is a binary note worth?

Binary dollar bill value depends on the note as well as the digits. The table below reads the site's verified sold-price bands for the Binary pattern by condition. These are recorded ranges from the available sample, not offers, guarantees, or a valuation of your particular note. The circulated cell remains blank because no publishable band is recorded.

For how to compare grade, denomination, and overlapping patterns, read the fancy serial number value guide.

What raises or lowers the value?

• True Binary uses only 0 and 1, a more specific feature than an arbitrary two-digit pair.
• A binary repeater repeats its first four digits; a binary radar reads the same in both directions. Overlap can attract more interest, but this table does not assign an extra premium.
• A star suffix can change demand, but the Binary sold-price bands exclude star notes. Research that combination separately.
• Denomination affects the minimum value of the bill and the market for comparable notes.
• Grade and eye appeal matter. Folds, stains, and damage can hold a note back; a crisp uncirculated example may draw stronger bids.

Compare the binary repeater, radar guide, and star note lookup before treating a combination as valuable.

Should you keep, sell, or grade it?

Keep a binary if you like the pattern or can find comparable sold notes in the same condition and denomination that support a premium. If it is worn, visually ordinary, or would cost more to ship or grade than a realistic sale could return, spending it may be sensible. A binary label alone is not a reason to pay grading fees.

Consider grading only after checking recent comparable sales for a note with the same grade potential and any stronger overlapping features. A seller's asking price is not proof of market value.

How to check your serial

Read the eight digits between the prefix and suffix, keep leading zeros, and count the distinct digits. Exactly two means Binary. Then check whether the digits are specifically 0 and 1, and look for any repeating or mirrored arrangement.

Enter the eight digits in the fancy serial number checker to see every pattern the note matches.