What is 01101 in decimal?
01101₂ converted to decimal is 13₁₀. The place-value working for these exact bits is below — or try other bits in the binary to decimal converter.
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How to convert 01101 to decimal, step by step
Give each bit its place value — 1, 2, 4, 8 and so on, doubling from the right — then add up the places where the bit is 1.
| Bit | Position | Place value | Bit × place |
|---|---|---|---|
| 0 | 4 | 16 | 0 |
| 1 | 3 | 8 | 8 |
| 1 | 2 | 4 | 4 |
| 0 | 1 | 2 | 0 |
| 1 | 0 | 1 | 1 |
Add the last column: 8 + 4 + 1 = 13. So 01101₂ = 13₁₀.
In short: 01101₂: 0×16 = 0 → +1×8 = 8 → +1×4 = 12 → +0×2 = 12 → +1×1 = 13
Frequently asked questions
How do you convert 01101 to decimal?
Use place values. The 1 bits sit at place values 8, 4, 1, and 8 + 4 + 1 = 13. So 01101₂ = 13₁₀.
Why does 01101 start with a 0?
The leading 0 adds nothing — its place value contributes 0 — so 01101 has the same value as 1101: 13 in decimal. The extra zero just keeps the number at 5 bits wide, the way it is often written in code or in search queries.
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← 01100 in decimal · 01110 in decimal →
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