Find the integer value of without using a calculator.

Question

Find the integer value of  without using a calculator.

Quizplus · Accepted Answer

Start with the last four digits 9B0D in hexadecimal which is equivalent to 39629 in decimal. Multiply this by 11 to get 435919. Then consider the remaining part of the number as a hexadecimal fraction, which is aa948_cded_9455_84bc_9b0d divided by 1,000,000,000,000. Converting this to decimal gives approximately 0.01230532272. Multiply this by 11 to get approximately 0.1353585499. Adding this to the previous result gives 435919.1353585499. Truncating to an integer value gives 435919, which matches the value in choice C.

Find the Integer Value of Without Using a Calculator