2025-01-10
for just as like a place to keep this. for when if u find yourself maybe like 3 years from now. trying to remember how to read hexadecimals for some reason or other—as it so often seems to happen, practicing coding. that u gone through this already. (but haven't used it since, & don't quite remember.) have it wrote down somewhere or other—right here.
that hexadecimal numbers are made-up of 16 "symbols"—a mix of numbers & letters. (the significance of 16 also—a reminder, a base-16 number-system.)
0 thru 9 & a thru f
0 thru f
(0 thru 15)
(where a, then, is 10, & f is 15)
so, a random hex number:
7ae
=(7 x 16^2) + (10 x 16^1) + (14 x 16^0)
notice how 16 is raised to an increasing power from 0 from right to left
=(7 x 256) + (10 x 16) + (14 x 1)
=1792 + 160 + 14
=1966
...further notes—to note, as a reminder to add more when u have the moment.
that a hexadecimal is denoted by a 0x.
an example:
0x43
which would be,
(4 x 16^1 )+ (4 x 16^1)
=64 + 3
=67 (in decimal)
that each hex-digit is 4 bits, & that 2 hex digits (like the example above, 0x43) is equal to 8 bits, then. which is a byte.
that a hex-digit equals 4 bits is a tribute of hexadecimal being a step above binary. that each hex-digit is made-up of 4 binary bits.
hex to 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
such that 0x43 in hex equals 0100 0011 in binary.
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