CODEWITHSUNDEEP
binaryhex
sherrellbc
sherrellbc

Reputation: 4853

How are Hex and Binary parsed?

HEX Article

By this I mean,

In a program if I write this:

1111

I mean 15. Likewise, if I write this:

0xF

I also mean 15. I am not entirely sure how the process is carried out through the chip, but I vagely recall something about flagging, but in essence the compiler will calculate 

2^3 + 2^2 + 2^1 + 2^0 = 15

Will 0xF be converted to "1111" before this calculation or is it written that somehow HEX F represents 15?

Or simply, 16^0 ? -- which obviously is not 15.

I cannot find any helpful article that states a conversion from HEX to decimal rather than first converting to binary.

Binary(base2) is converted how I did above (2^n .. etc). How is HEX(base16) converted? Is there an associated system, like base 2, for base 16?

I found in an article:

0x1234 = 1 * 16^3 + 2 * 16^2 + 3 * 16^1 + 4 * 16^0 = 4660

But, what if the number was 0xF, does this represent F in the 0th bit? I cannot find a straightforward example.

Upvotes: 0

Views: 137

Answers (1)

NPE
NPE

Reputation: 500873

There are sixteen hexadecimal digits, 0 through 9 and A through F.

Digits 0 through 9 are the same in hex and in decimal.
0xA is 1010.
0xB is 1110.
0xC is 1210.
0xD is 1310.
0xE is 1410.
0xF is 1510.

For example:

0xA34F = 10 * 163 + 3 * 162 + 4 * 161 + 15 * 160

Upvotes: 1

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