Answer:
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:
[tex]F*16^{0}=15*1=15\\F*16^{1}=15*16=240[/tex]
Finally, you'll add your results:
240+15=255
FF=255
b. F 0 A 2
position 3 2 1 0
[tex]2*16^{0}=2*1=2\\A*16^{1}=10*16=160\\0*16^{2}=0*256=0\\F*16^{3}=16*4096=61440\\\\2+160+0+61440=61602\\[/tex]
F0A2=61602
c. F 1 0 0
position 3 2 1 0
[tex]0*16^{0}=0*1=0\\0*16^{1}=0*16=0\\1*16^{2}=1*256=256\\F*16^{3}=16*4096=61440\\0+0+256+61440=61696\\[/tex]
0F100=61696
d. 1 0 0
position 2 1 0
[tex]0*16^{0}=0*1=0\\0*16^{1}=0*16=0\\1*16^{2}=1*256=256\\\\0+0+256=256\\[/tex]
100=256
I hope you find this information useful! Good luck!
