Answer:
F is assigned the value of 15
[tex]74AF_{16} = 29871_{10}[/tex]
Step-by-step explanation:
Hexadecimal number system is base 16 and it contain the following numbers:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
A has a value of 10
B has a value of 11
C has a value of 12
D has a value of 13
E has a value of 14
F has a value of 15
By completing the expanded notation:
[tex](7*4096) + (4*256) + (A * 16) + (F *1)\\= (7*4096) + (4*256) + (10 * 16) + (15 *1)\\= 28672 + 1024 + 160 + 15\\= 29871[/tex]
