Expand and simplify.
A) 23
B) 14
C) 37
D) 39
E) 33

Question

Expand and simplify. 
A) 23 
B) 14 
C) 37 
D) 39 
E) 33

Quizplus · Accepted Answer

The given expression contains hexadecimal digits (a, b, c, d, e, f) which represent decimal values as follows:
a = 10
b = 11
c = 12
d = 13
e = 14
f = 15
Substituting these values, we get:
1(16^3) + 1(16^2) + 14(16^1) + 12(16^0) + 8(16^-1) + 11(16^-2) + 15(16^-3) + 7(16^-4) + 10(16^-5) + 11(16^-6) + 8(16^-7)
= 4096 + 256 + 224 + 12 + 0.5 + 0.0498046875 + 0.0003662109375 + 0.000003814697265625 + 0.0000000244140625 + 0.000000000152587890625 + 0.00000000000417232513427734375
= 4336.550115725417
Rounding off to the nearest integer, we get 37. Therefore, the answer is C) 37.

Expand and Simplify