Number systems
In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one).
The decimal numeral system (also called base-ten and occasionally denary) has ten as its base, which, in decimal, is written 10, as is the base in every positional numeral system.
In mathematics and digital electronics, a hexadecimal number (also base 16, or hex) is a number expressed in the hexadeximal numeral system - a positional numeral system with a radix, or base, of 16.
\begin{align}
110_{2} &= 1\times2^{2}+1\times2^{1}+0\times2^{0}=6_{10} \\
\\
6_{10} &= 110_{2}:\\
\end{align}
6 / 2 = 3, remainder 0, (LSB - Least Significant Byte)
3 / 2 = 1, remainder 1
1 / 2 = 0, remainder 1, (MSB - Most Significant Byte)
3 / 2 = 1, remainder 1
1 / 2 = 0, remainder 1, (MSB - Most Significant Byte)
| Decimal number (positive) | Binary number |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| 11 | 1011 |
| 12 | 1100 |
| 13 | 1101 |
| 14 | 1110 |
| 15 | 1111 |
| 16 | 10000 |
| 32 | 100000 |
| 64 | 1000000 |
| 128 | 10000000 |
| 256 | 100000000 |