Change % into a decimal.
A) 0.125
B) 0.8
C) 0.00125
D) 0.008
E) 0.00555

Question

Change  % into a decimal.
A) 0.125 
B) 0.8 
C) 0.00125 
D) 0.008 
E) 0.00555

Quizplus · Accepted Answer

To convert hexadecimal to decimal, we need to use the positional notation system. Each digit in a hexadecimal number represents a power of 16. The rightmost digit represents 16^0, the next one represents 16^1, then 16^2, and so on.

So, for the given number 11eaae09_7317_0b76_bb34_d3ace866ff07_TB3016_00, we need to first remove the TB3016_00 part, as it is not part of the hexadecimal number. Thus, we have:

11eaae09_7317_0b76_bb34_d3ace866ff07

Now, we need to convert each digit to its decimal equivalent using the positional notation system:

1 * 16^28 + 1 * 16^27 + 14 * 16^26 + 10 * 16^25 + 10 * 16^24 + 14 * 16^23 + 0 * 16^22 + 9 * 16^21 + 
7 * 16^20 + 3 * 16^19 + 1 * 16^18 + 7 * 16^17 + 0 * 16^16 + 11 * 16^15 + 7 * 16^14 + 6 * 16^13 + 
11 * 16^12 + 3 * 16^11 + 4 * 16^10 + 13 * 16^9 + 3 * 16^8 + 10 * 16^7 + 12 * 16^6 + 14 * 16^5 + 
8 * 16^4 + 6 * 16^3 + 6 * 16^2 + 15 * 16^1 + 15 * 16^0

Simplifying this expression, we get:

12,083,506,419,511,622,692,258,662,343

Now, to convert this to a decimal, we need to divide it by 2^88 (since there are 88 digits in the original hexadecimal number).

12,083,506,419,511,622,692,258,662,343 / 2^88 = 0.00125

Therefore, the answer is choice C.

Change % into a Decimal