What is 1001 in decimal?
1001₂ converted to decimal is 9₁₀. The place-value working for these exact bits is below — or try other bits in the binary to decimal converter.
1001₂ = 9₁₀
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How to convert 1001 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 |
|---|---|---|---|
| 1 | 3 | 8 | 8 |
| 0 | 2 | 4 | 0 |
| 0 | 1 | 2 | 0 |
| 1 | 0 | 1 | 1 |
Add the last column: 8 + 1 = 9. So 1001₂ = 9₁₀.
In short: 1001₂: 1×8 = 8 → +0×4 = 8 → +0×2 = 8 → +1×1 = 9
Frequently asked questions
How do you convert 1001 to decimal?
Use place values. The 1 bits sit at place values 8, 1, and 8 + 1 = 9. So 1001₂ = 9₁₀.
What is 1001 in hexadecimal?
1001₂ is 9₁₆. Group the bits in fours from the right and read each group as one hex digit — or check the 9₁₀ = 9₁₆ conversion in the boxes above.
Keep converting
← 1000 in decimal · 1010 in decimal →
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