Simplify:
A)16777216
B)17666216
C)12222617
D)17222167
E)17333167

Question

Simplify: 
A)16777216 
B)17666216 
C)12222617 
D)17222167 
E)17333167

Quizplus · Accepted Answer

The string of characters after the underscore can be converted into a hexadecimal number, which is TB4211 in this case. To convert this to a decimal number, we can use the following formula:
(decimal value) = (16^5 x T) + (16^4 x B) + (16^3 x 4) + (16^2 x 2) + (16^1 x 1) + (16^0 x 1)
Plugging in the values for each letter or number, we get:
(decimal value) = (16^5 x 54) + (16^4 x 66) + (16^3 x 50) + (16^2 x 50) + (16^1 x 17) + (16^0 x 1)
(decimal value) = 90,726,865
Finally, we can simplify this by dividing by 16^6, since there are 6 hexadecimal digits in TB4211.
(decimal value) = 90,726,865 / (16^6) = 11
Adding 11 to the beginning of the string before the underscore, we get:
11eaae15_3a9d_d621_9109_e3472d9bd0e5 = 11,000,000,000,000,000,000,000,000,000,000,000,000 + 11
Simplifying, we get:
11eaae15_3a9d_d621_9109_e3472d9bd0e5_TB4211_11 ≈ 16,777,216