X86 Assembly Language and C Fundamentals

Appendix B

Answers to Select Problems

Chapter 1 Number Systems and Number Representations

1. 1.5 Convert the octal number 173.258 to decimal.

   $\begin{array}{l}{473.26}_8=(4\times 8^2)+(7\times 8^1)+(3\times 8^0)+(2\times 8^{-1})+(6\times 8^{-2})\hfill \\ =(256+56+3+0.25+0.09375{)}_{10}\hfill \\ ={315.34375}_{10}\hfill \end{array}$

2. 1.9 Add the following binary numbers to yield a 12-bit sum:

   $\begin{array}{l}\underset{\_}{\begin{array}{l}111111111111\hfill \\ 111111111111\hfill \\ 111111111111\hfill \\ 111111111111\hfill \end{array}}\hfill \\ 111111111100\hfill \end{array}$

3. 1.16 Multiply the unsigned binary numbers 11112 and 00112.

   

4. 1.19 The numbers shown below are in sign-magnitude representation. Convert the numbers to 2s complement representation for radix 2 with the same numerical value using eight bits.

   Sign magnitude	2s complement ...