10 in binary is 1010. The binary form has 2 ones and 2 zeros. In octal 10 is 12 and in hexadecimal it is A. The bit pattern uses 4 bits and fits in 1 byte....
10 IN BINARY
1010
4 bits · 1 byte · 2 ones
Binary (base 2)
1010
Octal (base 8)
12
Decimal (base 10)
10
Hexadecimal (base 16)
A
BCD
0001 0000
Bit length
4
Byte count
1
Count of 1s
2
Count of 0s
2
Is power of 2
No
Nearest 2ⁿ
2^3 = 8
HOW TO CONVERT 10 TO BINARY
Method: divide by 2, collect remainders
10 ÷ 2 = 5 remainder 0
5 ÷ 2 = 2 remainder 1
2 ÷ 2 = 1 remainder 0
1 ÷ 2 = 0 remainder 1
Read remainders bottom to top: 1010
VERIFY: BINARY BACK TO DECIMAL
1×2^3 + 0×2^2 + 1×2^1 + 0×2^0
= 8 + 2 = 10 ✓
FUN FACT
10 is the base of our everyday decimal system. In binary, 10 = 1010 — an alternating pattern of ones and zeros. It takes 4 bits to represent 10.
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 10 by 2 repeatedly, collecting remainders. 10 div 2 = 5 remainder 0 -> 5 div 2 = 2 remainder 1 -> 2 div 2 = 1 remainder 0 -> 1 div 2 = 0 remainder 1. Read remainders bottom to top: 1010.
Verify: 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 8 + 2 = 10. Each bit position represents a power of 2, starting at 2^0 = 1 on the right.
10 in other bases: octal = 12, hexadecimal = A. The binary form has 2 ones and 2 zeros.
The bit pattern uses 4 bits and fits in 1 byte. When stored as a full byte: 00001010.
10 decimal to binary: 10 div 2 = 5 remainder 0 -> 5 div 2 = 2 remainder 1 -> 2 div 2 = 1 remainder 0 -> 1 div 2 = 0 remainder 1 -> read bottom to top: 1010. Verify: 1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 10. Octal: 12, Hex: A.
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Last updated: April 29, 2026 · Formula verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.