Converting Hexadecimal Number to Binary

Unpacking the Hexadecimal Number 1E.4316

You might be wondering what the hexadecimal number 1E.4316 actually translates to in a more familiar number system like binary. Well, let's dive into the world of digits and bases to unfold this conversion!

Hexadecimals and Binaries

Hexadecimal, or "hex" for short, is a base-16 numbering system, while binary is a base-2 system. In hexadecimals, we use the digits 0-9 and the letters A-F, representing 10 through 15 respectively. Binary numbers consist only of 0s and 1s.

Hexadecimal numbers are often easier to read and write than their binary counterparts, especially when dealing with larger numbers. To convert from hexadecimal to binary, we can use the following pattern:

• Each hexadecimal digit corresponds to four binary digits (bits).
• To convert a hexadecimal digit to binary, we look up its corresponding value in the following table:

Hex    |  Binary
-------------------
0      |   0000
1      |   0001
2      |   0010
3      |   0011
4      |   0100
5      |   0101
6      |   0110
7      |   0111
8      |   1000
9      |   1001
A      |   1010
B      |   1011
C      |   1100
D      |   1101
E      |   1110
F      |   1111

Converting Hexadecimal to Binary

To convert 1E.4316 to binary, we'll separate the number into its individual digits:

• For the whole number: 1E
• For the decimal part: .43

Now, let's convert each hexadecimal digit to binary:

1 -> 11
E -> 1110
. -> (ignored)
4 -> 100
3 -> 11

Combine the binary digits into groups of four to get the binary number for the whole number and decimal part:

Whole number: 11 1110
Decimal part: 100 11

Combined: 11 1110 | 100 11
           _______|__________
         11111010 | 10011

So, 1E.4316 is equivalent to the binary number 11111010.10011 in base-2.

Final Thoughts

Hexadecimals make larger numbers easier to read and write, but understanding their conversion to binary is essential for more advanced computations. In the realm of programming and computing, knowing how to convert hexadecimals to binaries can be incredibly helpful when dealing with machine-level operations and data storage. do not contain information directly related to the conversion of hexadecimals to binaries. These sources discuss topics such as catalog items not being visible on portals, Bing's no-search feature, and extensions for Google search.