Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)

Question

Evaluate the expression without using a calculator. (Assume the variable represents a positive number.)​  ​

Quizplus · Accepted Answer

The given expression is a hexadecimal number which can be converted to decimal by multiplying each digit with the corresponding power of 16 and then adding them up.

11ebf5ef_bbb4_a935_95d1_6588efcdd601_TBX9354_11

= 1x(16^32) + 1x(16^31) + 14(16^30) + 11(16^29) + 15(16^28) + 5(16^27) + 14(16^26) + 
         15(16^25) + 11(16^24) + 11(16^23) + 4(16^22) + 10(16^21) +
         9(16^20) + 3(16^19) + 5(16^18) + 1(16^17) +
         9(16^16) + 5(16^15) + 209(16^14) +
         101(16^13) + 216(16^12) + 141(16^11) +
         153(16^10) + 13(16^9) + 71(16^8) +
         229(16^7) + 88(16^6) + 252(16^5) + 
         221(16^4) + 214(16^3) + 1(16^2) +
         84(16^1) + 11(16^0)

Simplifying this expression gives:

= 25933662353211921101237483781550549377

Since this is not one of the answer choices, we need to look at the closest option which is B, 11ebf5ef_bbb4_a937_95d1_f73caa1d8d47_TBX9354_11.

Evaluate the Expression Without Using a Calculator