Correct Answer  Option 2 : 45816
Concept:
Hexadecimal number system: Hexadecimal is a radix16 or base16 number system, while in our daytoday life in computers and digital logic we use a base2 (binary) number system, but it is visually more efficient to use base16 (Hexadecimal) number system.
Decimal number system: The most common base10 number system that we use frequently.
Decimal

Hexadecimal

Decimal

Hexadecimal

0

0

8

8

1

1

9

9

2

2

10

A

3

3

11

B

4

4

12

C

5

5

13

D

6

6

14

E

7

7

15

F

In general
(a_{n }× r^{n}) +… (a_{1 }× r^{1}) + (a_{0 }× r^{0}) + (a_{1 }× r^{1}) +…….. (a_{m }× r^{m}) (1)
Where a_{n} = Hexadecimal number at the n^{th} place.
The above expansion of a number in any radix r, always gives back the decimal equivalent of the number.
Calculation:
Given,
Hexadecimal number is (B2F8)_{16 }
Expanding according to equation 1,
(B × 16^{3}) + (2 × 16^{2}) + (F × 16^{1}) + (8 × 16^{0})
= (11 × 4096) + (2 × 256) + (15 × 16) + (8)
= (45816)_{10}
So, the decimal equivalent of the given hexadecimal number is (45816)_{10}.