# Quiz Chapter 01.04: Binary Representation of Numbers

 MULTIPLE CHOICE TEST BINARY REPRESENTATION INTRO TO SCIENTIFIC COMPUTING

1. $\left(25\right)_{10}=\left(?\right)_{2}$

2. $\left(1101\right)_{2}=\left(?\right)_{10}$

3. $\left(25.375\right)_{10}=\left(?.?\right)_{2}$

4. Representing $\sqrt{2}$ in a fixed point register with 2 bits for the integer part and 3 bits for the fractional part gives a round off error of most nearly

5. An engineer working for the Department of Defense is writing a program that transfers non-negative real numbers to integer format.  To avoid overflow problems, the maximum non-negative integer that can be represented in a 5-bit integer word is

6. For a numerically controlled machine, integers need to be stored in a memory location.  The minimum number of bits needed for an integer word to represent all integers between 0 and 1024 is