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introduction_to_digital_systems:number_systems [2023/11/15 08:55] – [Exercises] mexleadminintroduction_to_digital_systems:number_systems [2024/10/29 11:54] (current) – mexleadmin
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 }&{ d) \\ }&{ d) \\
                                                    \color{white}{+}\,38_{16} \\                                                    \color{white}{+}\,38_{16} \\
-                                                           +   1{\rm A}_{16}\\ +                                                           -   1{\rm A}_{16}\\ 
-\color{white}{+}\overline{\overset{\color{red}{1}}{1}\overset{}{{\rm B}_{16}}}+\color{white}{+}\overline{\overset{\color{red}{1}}{1}\overset{}{{\rm E}_{16}}}
 }  } 
 \end{array} \end{array}
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   - Why is ''10'' + ''14'' = ''8''? What happens to other values? \\ The input values ''A'' and ''B'' can be changed by clicking on the bit values.    - Why is ''10'' + ''14'' = ''8''? What happens to other values? \\ The input values ''A'' and ''B'' can be changed by clicking on the bit values. 
   - Try to analyze how ''B''' (shown in the brackets) is derived from ''B''.    - Try to analyze how ''B''' (shown in the brackets) is derived from ''B''. 
-  - Have a look at the wiki page of the {{wp>Two's complement}} to understand how negative numbers are represented in a microcontroller.+  - Have a look at the wiki page of the {{wp>Two's complement}} to understand how negative numbers are represented in a microcontroller. \\ What does the following representation show? \\ {{drawio>introduction_to_digital_systems:SignedIntCircle.svg}}
   - Imagine that you have to rescue data from an old storage device. The interesting bits are given by the boxed area in <imgref picex01>. The bytes are LSB 0 oriented.    - Imagine that you have to rescue data from an old storage device. The interesting bits are given by the boxed area in <imgref picex01>. The bytes are LSB 0 oriented. 
     - What are these values in an unsigned integer?     - What are these values in an unsigned integer?