What is 0001 in decimal?
0001₂ converted to decimal is 1₁₀. 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 0001 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 | 3 | 8 | 0 |
| 0 | 2 | 4 | 0 |
| 0 | 1 | 2 | 0 |
| 1 | 0 | 1 | 1 |
Add the last column: 1 = 1. So 0001₂ = 1₁₀.
In short: 0001₂: 0×8 = 0 → +0×4 = 0 → +0×2 = 0 → +1×1 = 1
Frequently asked questions
How do you convert 0001 to decimal?
Use place values. The only 1 bit sits at place value 1, so the total is 1. So 0001₂ = 1₁₀.
Why does 0001 start with a 0?
The leading 0 adds nothing — its place value contributes 0 — so 0001 has the same value as 1: 1 in decimal. The extra zero just keeps the number at 4 bits wide, the way it is often written in code or in search queries.
Keep converting
← 0000 in decimal · 0010 in decimal →
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