To convert a hexadecimal number to binary, follow these steps for each hexadecimal digit:
1. Look up the binary equivalent for each hex digit using the table provided.
2. Sequence these binary equivalents in the same order as the hexadecimal digits to get the complete binary representation.
Let's perform this conversion for the hexadecimal number 46B9:
1. The first hex digit is 4.
- From the table, 4 in binary is 0100.
2. The second hex digit is 6.
- From the table, 6 in binary is 0110.
3. The third hex digit is B.
- From the table, B in binary is 1011.
4. The fourth hex digit is 9.
- From the table, 9 in binary is 1001.
By putting these binary equivalents together in the same order, we get:
- 4 → 0100
- 6 → 0110
- B → 1011
- 9 → 1001
Combining these binary strings, the complete binary representation of the hexadecimal number 46B9 is:
[tex]\[
0100011010111001
\][/tex]
So, the hexadecimal number 46B9 written in binary code is 0100011010111001.
