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What is 1101 in decimal?

1101₂ 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.

1101₂ = 13₁₀

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How to convert 1101 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.

BitPositionPlace valueBit × place
1388
1244
0120
1011

Add the last column: 8 + 4 + 1 = 13. So 1101₂ = 13₁₀.

In short: 1101₂: 1×8 = 8 → +1×4 = 12 → +0×2 = 12 → +1×1 = 13

Frequently asked questions

How do you convert 1101 to decimal?

Use place values. The 1 bits sit at place values 8, 4, 1, and 8 + 4 + 1 = 13. So 1101₂ = 13₁₀.

What is 1101 in hexadecimal?

1101₂ is D₁₆. Group the bits in fours from the right and read each group as one hex digit — or check the 13₁₀ = D₁₆ conversion in the boxes above.

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