Convert the following hexadecimal numbers to decimal: (a) ff (b) f0a2 (c) 0f100 (d) 100

a) 255

b) 61602

c)

d)

Explanation:

You need to understand the decimal equivalent of hexadecimal numbers, from 0 to 9 numbers are represented the same way, from 10 to 15 we use the alphabet, meaning 10 equals A in hexadecimal base, 11-B, 12-C, 13-D, 14-E, and 15-F.

For your first exercise you'll enumerate the number's positions fromright to lef begining with 0:

a.               F   F

position    1    0

Now you'll multiply your hexadecimal number (using the decimal equivalent for your letters) for the base (16) elevated to the number of the position:

Finally, you'll add your results:

240+15=255

FF=255

b.             F  0  A  2

position   3  2  1   0

F0A2=61602

c.             F  1  0  0

position   3  2  1   0

0F100=61696

d.              1  0  0

position  2  1   0

100=256

I hope you find this information useful! Good luck!

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