...
Counting in binary is similar to counting in decimal, except there are only 2 digits. Here's how to count from 0 to 32 in binary.
| Number (decimal) | Binary |
|---|
| 0 | 0b000000 |
| 1 | 0b000001 |
| 2 | 0b000010 |
| 3 | 0b000011 |
| 4 | 0b000100 |
| 5 | 0b000101 |
| 6 | 0b000110 |
| 7 | 0b000111 |
| 8 | 0b001000 |
| 9 | 0b001001 |
| 10 | 0b001010 |
| 11 | 0b001011 |
| 12 | 0b001100 |
| 13 | 0b001101 |
| 14 | 0b001110 |
| 15 | 0b001111 |
| 16 | 0b010000 |
| 17 | 0b010001 |
| 18 | 0b010010 |
| 19 | 0b010011 |
| 20 | 0b010100 |
| 21 | 0b010101 |
| 22 | 0b010110 |
| 23 | 0b010111 |
| 24 | 0b011000 |
| 25 | 0b011001 |
| 26 | 0b011010 |
| 27 | 0b011011 |
| 28 | 0b011100 |
| 29 | 0b011101 |
| 30 | 0b011110 |
| 31 | 0b011111 |
| 32 | 0b10000 |
...
can be represented as
| Mathinline |
|---|
| body | (15 6 \cdot 16^{1}) + (4 \cdot 16^{0}) |
|---|
|
or
| Code Block |
|---|
language | cpp |
|---|
|
0xF0x64 |
Example 3
The number
| Code Block |
|---|
language | cpp |
|---|
|
24140 |
can be represented as
| Mathinline |
|---|
| body | (1 8 \cdot 16^{1}) + (1 12 \cdot 16^{0}) |
|---|
|
or
| Code Block |
|---|
language | cpp |
|---|
|
0x180x8C |
Example 4
The number
...
Counting in hex is similar to counting in decimal, except there are an additional 6 digits. Here's how to count from 0 to 32 in hex.
| Number (decimal) | Hex |
|---|
| 0 | 0x00 |
| 1 | 0x01 |
| 2 | 0x02 |
| 3 | 0x03 |
| 4 | 0x04 |
| 5 | 0x05 |
| 6 | 0x06 |
| 7 | 0x07 |
| 8 | 0x08 |
| 9 | 0x09 |
| 10 | 0x0A |
| 11 | 0x0B |
| 12 | 0x0C |
| 13 | 0x0D |
| 14 | 0x0E |
| 15 | 0x0F |
| 16 | 0x10 |
| 17 | 0x11 |
| 18 | 0x12 |
| 19 | 0x13 |
| 20 | 0x14 |
| 21 | 0x15 |
| 22 | 0x16 |
| 23 | 0x17 |
| 24 | 0x18 |
| 25 | 0x19 |
| 26 | 0x1A |
| 27 | 0x1B |
| 28 | 0x1C |
| 29 | 0x1D |
| 30 | 0x1E |
| 31 | 0x1F |
| 32 | 0x20 |
...