Please write down the answers in order like ( Answer 2 , Answer 3 ) .. From book
ID: 1844003 • Letter: P
Question
Please write down the answers in order like ( Answer 2 , Answer 3 ) ..
From book called ( Numericl Methods for engineers , Sixth edition )
Problem 2 Convert the hexadecimal number, CE384, to base 10 and binary. Remember that in hexadecimal, A=10, B=11, C=12, D=13 E=14, and F=15. How would using different computers with different number systems, i.e. like the one in Example 3.5, affect the error of the represented numbers? Consider the base and the word with different number of bits allotted for the exponent and mantissa and give a numerical example. Problem 3 Using the hypothetical binary floating-point number set from Example 3.5 with binary, what is the smallest absolute relative true error that can be achieved while expressing e? What 7-bit word gives this error? What simple changes could be made to number system to decrease the quantization error?Explanation / Answer
Given hexadecimal number is CE384
CE384= (C * 164) + (E * 163) + (3 * 162) + (8 * 161) + (4 * 160)
= (Decimal number)832388
Now we have to convert 844676 to binary
(832388)10 = (11001011001110000100)2