What is 16 in binary?
16₁₀ converted to binary is 10000₂. 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 16 to binary, step by step
Keep dividing 16 by 2 and writing down each remainder. The remainders, read in reverse, are the answer.
| Number | ÷ 2 | Quotient | Remainder |
|---|---|---|---|
| 16 | 2 | 8 | 0 |
| 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 10000, so 16₁₀ = 10000₂. Check it back: 16 = 16 — the 1 bits add up to 16.
In short: 16 ÷ 2 = 8 r 0 → 8 ÷ 2 = 4 r 0 → 4 ÷ 2 = 2 r 0 → 2 ÷ 2 = 1 r 0 → 1 ÷ 2 = 0 r 1 → read bottom-up: 10000₂
Frequently asked questions
How do you write 16 in binary?
Divide 16 by 2 over and over, noting each remainder: 16 ÷ 2 = 8 r0, 8 ÷ 2 = 4 r0, 4 ÷ 2 = 2 r0, 2 ÷ 2 = 1 r0, 1 ÷ 2 = 0 r1. Reading the remainders from last to first gives 10000, so 16₁₀ = 10000₂.
What is special about 16 in binary?
16 is exactly 2^4 — a power of two — so its binary form is a single 1 followed by 4 zeros: 10000. Every place value in binary is one of these powers.
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