Convert 178 from denary to hexadecimal:
17810 |
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Step 1: Convert Denary to Binary
Convert the denary number 178 into an 8-bit binary number.
| 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|---|---|
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 |
178 = 128 + 32 + 16 + 2
Step 2: Split into Nibbles
Split the 8-bit binary number into two 4-bit binary numbers.
Remember to re-number the binary columns for the first nibble.
| 8 | 4 | 2 | 1 | 8 | 4 | 2 | 1 | |
|---|---|---|---|---|---|---|---|---|
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 |
Step 4: Convert each Nibble to Denary
Convert each binary nibble into denary.
| 8 | 4 | 2 | 1 |
|---|---|---|---|
| 1 | 0 | 1 | 1 |
= 11
| 8 | 4 | 2 | 1 |
|---|---|---|---|
| 0 | 0 | 1 | 0 |
= 2
Step 5: Convert each Denary Digit to Hexadecimal
Convert each denary number to its hexadecimal equivalient.
Denary numbers 10–15 are equivalent to hexadecimal numbers A–F.
| 11 | = | B |
11 in denary is equivalent to B in hexadecimal.
| 2 | = | 2 |
2 less than 10, so it is the same in hexadecimal and denary.
Step 6: Combine the Digits
Bring the two separate hexadecimal values together, and the conversion is complete!
| B | 2 |
| B | 2 |
The answer
We have now converted 178 10 to B216.
B2