Hex to Base2 Converter
"Base2" is the formal name for binary — this converts a hex value into its base-2 digits, the term used in digital logic and number-systems coursework.
How to Convert Hex to Base2
Base2 — binary — uses exactly two digits, 0 and 1, and every hex digit maps to precisely 4 of them. That 4-bit relationship exists because 16 (hex's base) equals 2 raised to the 4th power, which is what makes this the one base conversion that's a pure lookup rather than arithmetic.
Hex Digit to Base2 Reference
| Hex | Base2 | Hex | Base2 |
|---|---|---|---|
| 0 | 0000 | 8 | 1000 |
| 1 | 0001 | 9 | 1001 |
| 2 | 0010 | A | 1010 |
| 3 | 0011 | B | 1011 |
| 4 | 0100 | C | 1100 |
| 5 | 0101 | D | 1101 |
| 6 | 0110 | E | 1110 |
| 7 | 0111 | F | 1111 |
Common Mistakes When Converting Hex to Base2
- Forgetting to pad each digit's base2 equivalent to 4 places when converting by hand.
- Losing digit order when writing out several groups in a row.
- Detouring through decimal, which is unnecessary — hex to base2 never needs it.
Frequently Asked Questions
Is "base2" the same thing as binary?
Yes — base2 is the formal numeral-system name, and binary is the everyday term for the same thing. Digital logic and computer architecture courses often use "base2" specifically when discussing it alongside base8, base10, and base16.
Why does hex convert so cleanly to base2?
Because 16 is 2 to the 4th power. Each hex digit maps to exactly 4 base-2 digits, so the conversion is a direct lookup per digit rather than arithmetic.
How do you convert hex to base2 by hand?
Look up each hex digit's 4-digit base-2 equivalent (0-F maps to 0000-1111) and write them in order, left to right, matching the original hex digit order.
Does the output always come in groups of 4?
The underlying value does, but the calculator shows the plain numeric result, so the very first digit's leading zeros are dropped — same as any number not displaying leading zeros.
Where does the term base2 show up outside of coursework?
In formal descriptions of number systems, in some programming documentation, and in contexts comparing multiple bases side by side (base2, base8, base10, base16) where consistent naming matters more than colloquial terms.
Is this different from the site's Hex to Binary converter?
No — it's the exact same conversion, computed the same way. This page exists for anyone specifically searching using the base2 terminology rather than the word binary.