Place Value
Every digit in a decimal number contributes based on its position.
Thousands
10^3
Value: 1000
4 x 1000 = 4000
Hundreds
10^2
Value: 100
7 x 100 = 700
Tens
10^1
Value: 10
2 x 10 = 20
Ones
10^0
Value: 1
9 x 1 = 9
Base-10
Decimal Number System
Decimal is the number system people use every day. In computing, it serves as the readable layer that helps humans interpret binary and hexadecimal values more comfortably.
Example Breakdown
4,729
`4 x 1000 + 7 x 100 + 2 x 10 + 9 x 1`
4000 + 700 + 20 + 9 = 4729
Why It Helps
Once you are comfortable decomposing decimal values into place values, converting between decimal, binary, and hexadecimal becomes much more intuitive.
Decimal In Computing
IP addresses and port numbers are usually shown in decimal for readability.
Storage sizes, counters, and dashboards often present values in decimal even when the machine stores them in binary.
Most human-facing forms, scripts, and settings use decimal input by default.
Learning decimal place values makes binary and hexadecimal conversions easier to reason about.
Reference 0-15
| Decimal | Binary | Hexadecimal |
|---|---|---|
| 0 | 0000 | 0 |
| 1 | 0001 | 1 |
| 2 | 0010 | 2 |
| 3 | 0011 | 3 |
| 4 | 0100 | 4 |
| 5 | 0101 | 5 |
| 6 | 0110 | 6 |
| 7 | 0111 | 7 |
| 8 | 1000 | 8 |
| 9 | 1001 | 9 |
| 10 | 1010 | A |
| 11 | 1011 | B |
| 12 | 1100 | C |
| 13 | 1101 | D |
| 14 | 1110 | E |
| 15 | 1111 | F |