Differences

This shows you the differences between two versions of the page.

--- gibson:teaching:fall-2016:math753:ex3 [2016/09/07 11:31]
gibson created
+++ gibson:teaching:fall-2016:math753:ex3 [2016/09/20 07:37] (current)
gibson
@@ Line 1: / Line 1: @@
-====== Math 753/853 exercises 4: floating point numbers ======
+====== Math 753/853 exercises 3: floating point numbers ======
-**1.** Based on today's lecture material, what range of integers should a 16-bit integer type represent? Check your answer by running ''typemin(Int16)'' and ''typemax(Int16)'' in Julia.
+**1.** Based on 9/7/2016's lecture material, what range of integers should a 16-bit integer type represent? Check your answer by running ''typemin(Int16)'' and ''typemax(Int16)'' in Julia.
 **2.** Same as problem 1 for 32-bit integers.
 **3.** The standard 32-bit floating-point type uses 1 bit for sign, 8 bits for exponents, and 23 bits for the mantissa.
-  * What is $\epsilon{machine}$ for a 32-bit float?
+  * What is machine epsilon for a 32-bit float?
   * How many digits of accuracy does the mantissa have?
   * What are the minimum and maximum exponents, in base 10?
 **4.** The standard 16-bit floating-point type uses 1 bit for sign, 5 bits for exponents, and 10 bits for the mantissa. What size error do you expect in a 16-bit computation of 9.4 - 9 - 0.4? Figure out how to do this 16-bit calculation in Julia and verify your expectation.
+**5.** Find the roots of $x^2 - 4x + 6^{-28} = 0$ to four significant digits.

channelflow.org