Find the integer value of without using a calculator.
A) 27
B) 216
C) 54
D) 18

Question

Find the integer value of  without using a calculator.
A) 27 
B) 216 
C) 54 
D) 18

Quizplus · Accepted Answer

To find the integer value of 11eaa948_cded_bb6a_84bc_fb59fc3ae3a8_TB2342_11 without using a calculator, we need to convert the hexadecimal number to decimal.

First, we can split the number into two parts: 11eaa948_cded_bb6a_84bc_fb59fc3ae3a8 and TB2342_11.

The first part is a 31-digit hexadecimal number, which can be converted to decimal by multiplying each digit by its corresponding power of 16 and adding them all together:

1*16^30 + 1*16^29 + 14*16^28 + 10*16^27 + 10*16^26 + 9*16^25 + 4*16^24 + 8*16^23 + 12*16^22 + 13*16^21 + 14*16^20 + 11*16^19 + 6*16^18 + 10*16^17 + 8*16^16 + 4*16^15 + 11*16^14 + 12*16^13 + 8*16^12 + 4*16^11 + 11*16^10 + 12*16^9 + 5*16^8 + 9*16^7 + 15*16^6 + 12*16^5 + 3*16^4 + 10*16^3 + 14*16^2 + 3*16^1 + 8*16^0

Simplifying this expression, we get:

21970406912751833485093065127714835304

The second part, TB2342_11, does not represent a number in hexadecimal, as T is not a valid hexadecimal digit. Therefore, we cannot include this part in our calculation.

The only answer choice that is close to the calculated value of the first part, 21970406912751833485093065127714835304, is C) 54. While it may be tempting to choose the answer with the largest value (B) 216), we can see that it is too far from the calculated value to be a reasonable choice. Therefore, the best choice is C) 54.

Find the Integer Value of Without Using a Calculator