11 in binary is 1011. The binary form has 3 one(s) and 1 zero(s). In octal 11 is 13 and in hexadecimal it is B. The bit pattern uses 4 bits and fits in 1 byte....
11 IN BINARY
1011
4 bits · 1 byte · 3 ones
Binary (base 2)
1011
Octal (base 8)
13
Decimal (base 10)
11
Hexadecimal (base 16)
B
BCD
0001 0001
Bit length
4
Byte count
1
Count of 1s
3
Count of 0s
1
Is power of 2
No
Nearest 2ⁿ
2^3 = 8
HOW TO CONVERT 11 TO BINARY
Method: divide by 2, collect remainders
11 ÷ 2 = 5 remainder 1
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Read remainders bottom to top: 1011
VERIFY: BINARY BACK TO DECIMAL
1×2^3 + 0×2^2 + 1×2^1 + 1×2^0
= 8 + 2 + 1 = 11 ✓
FUN FACT
11 is the fifth prime. In binary, 11 = 1011 — three bits set with only bit position 2 as zero. In hex, 11 = B, the second letter-digit.
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 11 by 2 repeatedly, collecting remainders: 11 div 2 = 5 remainder 1 -> 5 div 2 = 2 remainder 1 -> 2 div 2 = 1 remainder 0 -> 1 div 2 = 0 remainder 1. Read remainders bottom to top: 1011.
Verify: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 2 + 1 = 11. Each bit position represents a power of 2, starting at 2^0 = 1 on the right.
11 in other bases: octal = 13, hexadecimal = B. The binary form has 3 one(s) and 1 zero(s).
The bit pattern uses 4 bits and fits in 1 byte. When stored as a full byte: 00001011.
11 decimal to binary: 11 div 2 = 5 remainder 1 -> 5 div 2 = 2 remainder 1 -> 2 div 2 = 1 remainder 0 -> 1 div 2 = 0 remainder 1 -> read bottom to top: 1011. Verify: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 11. Octal: 13, Hex: B.
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Last updated: April 29, 2026 · Formula verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.