Converting these numbers should be second nature for anyone working hands-on in computing, but this chart may be handy while learning.
Note that you don’t necessarily need to include the leading 0s in the binary numbers, although it is handy to demonstrate that a single Hexadecimal digit contains exactly four bits of information.
Base Conversions Table
Decimal (0dX) | Binary (0bX) | Hexadecimal (0xX) |
---|---|---|
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 |
Converting Binary to Hexadecimal
flowchart TD
A(0b11011011)
A-->B(0b1101)
A--Split into 4-bit groups-->C(0b1011)
B-->D(0d13)
C--Convert each to decimal-->E(0d11)
D-->F(0xD)
E--Convert each to hex -->G(0xB)
H(0b11011011 = 0xDB)
F-->H
G--Combine for the answer-->H