16 in binary is 10000. 16 = 2^4, so its binary form is a 1 followed by 4 zero(s). In octal 16 is 20 and in hexadecimal it is 10. The bit pattern uses 5 bits and fits in 1 byte....
16 IN BINARY
10000
5 bits · 1 byte · 1 one
Binary (base 2)
10000
Octal (base 8)
20
Decimal (base 10)
16
Hexadecimal (base 16)
10
BCD
0001 0110
Bit length
5
Byte count
1
Count of 1s
1
Count of 0s
4
Is power of 2
Yes ✓
Nearest 2ⁿ
2^4
HOW TO CONVERT 16 TO BINARY
Method: divide by 2, collect remainders
16 ÷ 2 = 8 remainder 0
8 ÷ 2 = 4 remainder 0
4 ÷ 2 = 2 remainder 0
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Read remainders bottom to top: 10000
VERIFY: BINARY BACK TO DECIMAL
1×2^4 + 0×2^3 + 0×2^2 + 0×2^1 + 0×2^0
= 16 = 16 ✓
FUN FACT
16 = 2 to the power 4 is the base of hexadecimal notation. In binary, 16 = 10000. One hex digit (nibble) represents exactly 4 bits, and 16 is the first two-digit hex number (10 in hex).
BIT PATTERN
Byte 1
POWERS OF 2 REFERENCE
| n | 2ⁿ | Binary | Hex |
|---|---|---|---|
| 0 | 1 | 1 | 1 |
| 1 | 2 | 10 | 2 |
| 2 | 4 | 100 | 4 |
| 3 | 8 | 1000 | 8 |
| 4 | 16 | 10000 | 10 |
| 5 | 32 | 100000 | 20 |
| 6 | 64 | 1000000 | 40 |
| 7 | 128 | 10000000 | 80 |
| 8 | 256 | 100000000 | 100 |
| 9 | 512 | 1000000000 | 200 |
| 10 | 1024 | 10000000000 | 400 |
| 15 | 32768 | 1000000000000000 | 8000 |
| 16 | 65536 | 10000000000000000 | 10000 |
Divide 16 by 2 repeatedly, collecting remainders. 16 div 2 = 8 remainder 0 -> 8 div 2 = 4 remainder 0 -> 4 div 2 = 2 remainder 0 -> 2 div 2 = 1 remainder 0 -> 1 div 2 = 0 remainder 1. Read remainders bottom to top: 10000.
Verify: 1*2^4 + 0*2^3 + 0*2^2 + 0*2^1 + 0*2^0 = 16 = 16. Each bit position represents a power of 2, starting at 2^0 = 1 on the right.
16 in other bases: octal = 20, hexadecimal = 10. 16 = 2^4, so its binary form is a 1 followed by 4 zero(s).
The bit pattern uses 5 bits and fits in 1 byte. When stored as a full byte: 00010000.
16 decimal to binary: 16 div 2 = 8 remainder 0 -> 8 div 2 = 4 remainder 0 -> 4 div 2 = 2 remainder 0 -> 2 div 2 = 1 remainder 0 -> 1 div 2 = 0 remainder 1 -> read bottom to top: 10000. Verify: 1*2^4 + 0*2^3 + 0*2^2 + 0*2^1 + 0*2^0 = 16. Octal: 20, Hex: 10.
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Last updated: April 29, 2026 · Formula verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.