2004 in binary
2004 in binary is 11111010100. In hexadecimal it is 7D4 and in octal 3724.
2004 in binary
Pick any whole number from 1 to 10,000.
How to work it out
- 1
Divide 2004 by 2 again and again, writing down the remainder each time, until you reach 0.
- 2
Read the remainders from the bottom up: 11111010100.
- 3
Check by adding powers of 2: 1024 + 512 + 256 + 128 + 64 + 16 + 4 = 2004.
LaTeX source of the formulas on this page
\[ 2004_{10} = 11111010100_{2} \]Dividing 2004 by 2
| Number | Division | Remainder |
|---|---|---|
| 2004 | 2004 ÷ 2 = 1002 | 0 |
| 1002 | 1002 ÷ 2 = 501 | 0 |
| 501 | 501 ÷ 2 = 250 | 1 |
| 250 | 250 ÷ 2 = 125 | 0 |
| 125 | 125 ÷ 2 = 62 | 1 |
| 62 | 62 ÷ 2 = 31 | 0 |
| 31 | 31 ÷ 2 = 15 | 1 |
| 15 | 15 ÷ 2 = 7 | 1 |
| 7 | 7 ÷ 2 = 3 | 1 |
| 3 | 3 ÷ 2 = 1 | 1 |
| 1 | 1 ÷ 2 = 0 | 1 |
Questions
What is 2004 in binary?
11111010100.
What is 2004 in hexadecimal?
7D4.
What is 2004 in octal?
3724.
How many bits does 2004 need?
11 bits.