Base-12 to Binary Converter
Convert base-12 (duodecimal) integers to binary instantly. Enter digits 0–9, A for 10, and B for 11 to get the decimal value, binary result, and conversion breakdown.
What Is Base-12 to Binary Conversion?
Base-12 to binary conversion changes a number written in the duodecimal numeral system into an equivalent base-2 value.
The notation used by this converter contains twelve digits:
0–9, A, and B.
How to Convert Base-12 to Binary
1. Validate the Digits
Use only digits 0–9 and letters A or B.
2. Assign Powers of 12
From right to left, positions represent 12⁰, 12¹, 12², and so on.
3. Convert A and B
Treat A as 10 and B as 11 before evaluating the number.
4. Multiply Each Digit
Multiply every digit value by its corresponding power of 12.
5. Add the Products
The sum is the equivalent decimal integer.
6. Convert Decimal to Binary
Express that value using powers of 2.
Base-12 Digit Values
| Base-12 Digit | Decimal Value |
|---|---|
0 | 0 |
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
7 | 7 |
8 | 8 |
9 | 9 |
A | 10 |
B | 11 |
Example: Convert Base-12 A to Binary
Example: Convert Base-12 B to Binary
Example: Convert Base-12 21 to Binary
Example: Convert Base-12 1A to Binary
Base-12 to Binary Conversion Table
| Base-12 | Decimal | Binary |
|---|---|---|
0 | 0 | 0 |
1 | 1 | 1 |
2 | 2 | 10 |
3 | 3 | 11 |
4 | 4 | 100 |
5 | 5 | 101 |
6 | 6 | 110 |
7 | 7 | 111 |
8 | 8 | 1000 |
9 | 9 | 1001 |
A | 10 | 1010 |
B | 11 | 1011 |
10 | 12 | 1100 |
11 | 13 | 1101 |
12 | 14 | 1110 |
13 | 15 | 1111 |
1A | 22 | 10110 |
20 | 24 | 11000 |
21 | 25 | 11001 |
100 | 144 | 10010000 |
Base-12 Place Values
| Power | Value |
|---|---|
| 12⁰ | 1 |
| 12¹ | 12 |
| 12² | 144 |
| 12³ | 1728 |
| 12⁴ | 20736 |
| 12⁵ | 248832 |
Base-12 vs Binary
| Feature | Base-12 | Binary |
|---|---|---|
| Base | 12 | 2 |
| Digits | 0–9, A, B | 0, 1 |
| Place Values | Powers of 12 | Powers of 2 |
| Decimal 10 | A |
1010 |
| Decimal 11 | B |
1011 |
| Decimal 25 | 21 |
11001 |
Common Base-12 to Binary Mistakes
Treating A as a Letter
In this notation, A has the numeric value 10.
Treating B as a Letter
B represents the numeric value 11.
Using C or Higher Letters
This base-12 notation stops at B because there are only twelve digit values.
Reading the Input as Decimal
For example, 21₁₂ equals decimal 25, not decimal 21.
Related BinaryCon Tools
Base-12 to Binary Converter FAQs
How do you convert base 12 to binary?
What is base-12 A in binary?
A₁₂ = 1010₂.
What is base-12 B in binary?
B₁₂ = 1011₂.
What is base-12 10 in binary?
10₁₂ equals decimal 12, which is binary 1100.
What is base-12 21 in binary?
21₁₂ = 2×12 + 1 = 25, so the binary result is
11001.
What is base-12 1A in binary?
1A₁₂ = 12 + 10 = 22, which is binary
10110.
Does this converter accept lowercase a and b?
a and b are automatically treated as
uppercase A and B.