Evaluate the expression without using a calculator.

Question

Evaluate the expression  without using a calculator. ​

Quizplus · Accepted Answer

We can evaluate the expression by converting the hexadecimal numbers to decimal numbers and then performing the arithmetic operations. Starting from left to right, the first two digits (11) represent a decimal number, which we multiply by 16^8. The next six digits (eac44f) represent another decimal number, which we multiply by 16^6. Continuing in this way, we get:

11*(16^8) + 15*(16^7) + 172*(16^6) + 68*(16^5) + 79*(16^4) + 235*(16^3) + 105*(16^2)
+ 199*(16^1) + 50*(16^0) + 297*16 + 11

Simplifying this expression, we get:

245199605524995505

Converting this decimal number back to hexadecimal, we get:

eb97dc99bedf69cbfd7f3317

Therefore, the answer is D, as it is the only choice that matches this result.

Evaluate the Expression Without Using a Calculator