What is the Hex code for the binary code 1011000?

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To convert the binary code 1011000 into its hexadecimal (Hex) representation, you first need to understand how binary translates to hex. Hexadecimal is a base-16 number system, while binary is base-2.

The binary number 1011000 can be broken down into groups of four bits, which is the standard grouping for hex conversion. Starting from the right, we can pad the binary number with zeros to the left if needed to complete a group of four bits. Thus, 1011000 can be represented as 01011000.

Now, we separate this into two groups for conversion:

  • The leftmost group is 0101

  • The rightmost group is 1000

Next, we convert each group into decimal:

  • The binary 0101 corresponds to the decimal value 5.

  • The binary 1000 corresponds to the decimal value 8.

Finally, when we combine these two decimal values in hexadecimal, we get 58 (5 in the higher position and 8 in the lower position).

Therefore, the Hex code for the binary code 1011000 is indeed 58.

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