What is 8 in binary?
8₁₀ converted to binary is 1000₂. The complete working for this exact number is below — or type a different number into the decimal to binary converter and watch it happen live.
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How to convert 8 to binary, step by step
Keep dividing 8 by 2 and writing down each remainder. The remainders, read in reverse, are the answer.
| Number | ÷ 2 | Quotient | Remainder |
|---|---|---|---|
| 8 | 2 | 4 | 0 |
| 4 | 2 | 2 | 0 |
| 2 | 2 | 1 | 0 |
| 1 | 2 | 0 | 1 |
Reading the remainder column from the bottom up gives 1000, so 8₁₀ = 1000₂. Check it back: 8 = 8 — the 1 bits add up to 8.
In short: 8 ÷ 2 = 4 r 0 → 4 ÷ 2 = 2 r 0 → 2 ÷ 2 = 1 r 0 → 1 ÷ 2 = 0 r 1 → read bottom-up: 1000₂
Frequently asked questions
How do you write 8 in binary?
Divide 8 by 2 over and over, noting each remainder: 8 ÷ 2 = 4 r0, 4 ÷ 2 = 2 r0, 2 ÷ 2 = 1 r0, 1 ÷ 2 = 0 r1. Reading the remainders from last to first gives 1000, so 8₁₀ = 1000₂.
What is special about 8 in binary?
8 is exactly 2^3 — a power of two — so its binary form is a single 1 followed by 3 zeros: 1000. Every place value in binary is one of these powers.
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