Final answer:
To convert the hexadecimal number FEB to base 10, each hex digit is converted to decimal and multiplied by the corresponding power of 16, then summed up resulting in 4075.
Step-by-step explanation:
The question asks to convert the hexadecimal number FEB to its equivalent in base 10. Hexadecimal numbers use base 16, which means each digit represents powers of 16. The number FEB sixteen in base 10 is found by multiplying each digit by the appropriate power of 16 and adding the results:
- F in hexadecimal is 15 in decimal. 15 × (16^2) = 15 × 256 = 3840
- E in hexadecimal is 14 in decimal. 14 × (16^1) = 14 × 16 = 224
- B in hexadecimal is 11 in decimal. 11 × (16^0) = 11 × 1 = 11
Adding these all up: 3840 + 224 + 11 = 4075.
Therefore, FEB sixteen is equal to 4075 in base 10 (which was not listed in the multiple choices provided).