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how to represent -77,626 in binary form?

Guest May 26, 2015

Best Answer 

 #1
avatar+20025 
+5

how to represent -77,626 in binary form ?

$$\begin{array}{rcrr}
& & \rm{q o u t i e n t} & \rm{r e m a i n d e r} \\
77626& : 2 = & 38813 & 0 \\
38813 & : 2 = & 19406 & 1 \\
19406 & : 2 = & 9703& 0 \\
9703 & : 2 = & 4851& 1 \\
4851 & : 2 = & 2425& 1 \\
2425 & : 2 = & 1212 & 1 \\
1212 & : 2 = & 606 & 0 \\
606 & : 2 = & 303 & 0 \\
303 & : 2 = & 151 & 1 \\
151 & : 2 = & 75 & 1 \\
75 & : 2 = & 37 & 1 \\
37 & : 2 = & 18 & 1 \\
18 & : 2 = & 9 & 0 \\
9 & : 2 = & 4 & 1 \\
4 & : 2 = & 2 & 0 \\
2 & : 2 = & 1 & 0 \\
1 & : 2 = & 0 & \textcolor[rgb]{1,0,0}{1} \\
\end{array}$$

 

$$\begin{array}{rcl}
77626_2~&=& \textcolor[rgb]{0,0,1}{0}~\textcolor[rgb]{1,0,0}{1}~0~0~1~0~1~1~1~1~0~0~1~1~1~0~1~0\\
\mathbf{Invert~all~places} &=& \textcolor[rgb]{0,0,1}{1}~\textcolor[rgb]{1,0,0}{0}~1~1~0~1~0~0~0~0~1~1~0~0~0~1~0~1\\
\mathbf{+1} &=+ & \textcolor[rgb]{0,0,1}{0}~0~0~0~0~0~0~0~0~0~0~0~0~0~0~0~0~1\\
-77626_2~&=& \textcolor[rgb]{0,0,1}{1}~0~1~1~0~1~0~0~0~0~1~1~0~0~ 0~1~1~0
\end{array} \\\\
\textcolor[rgb]{0,0,1}{\mathrm{sign: \qquad 0 = + \qquad 1 = -}}$$

heureka  May 26, 2015
 #1
avatar+20025 
+5
Best Answer

how to represent -77,626 in binary form ?

$$\begin{array}{rcrr}
& & \rm{q o u t i e n t} & \rm{r e m a i n d e r} \\
77626& : 2 = & 38813 & 0 \\
38813 & : 2 = & 19406 & 1 \\
19406 & : 2 = & 9703& 0 \\
9703 & : 2 = & 4851& 1 \\
4851 & : 2 = & 2425& 1 \\
2425 & : 2 = & 1212 & 1 \\
1212 & : 2 = & 606 & 0 \\
606 & : 2 = & 303 & 0 \\
303 & : 2 = & 151 & 1 \\
151 & : 2 = & 75 & 1 \\
75 & : 2 = & 37 & 1 \\
37 & : 2 = & 18 & 1 \\
18 & : 2 = & 9 & 0 \\
9 & : 2 = & 4 & 1 \\
4 & : 2 = & 2 & 0 \\
2 & : 2 = & 1 & 0 \\
1 & : 2 = & 0 & \textcolor[rgb]{1,0,0}{1} \\
\end{array}$$

 

$$\begin{array}{rcl}
77626_2~&=& \textcolor[rgb]{0,0,1}{0}~\textcolor[rgb]{1,0,0}{1}~0~0~1~0~1~1~1~1~0~0~1~1~1~0~1~0\\
\mathbf{Invert~all~places} &=& \textcolor[rgb]{0,0,1}{1}~\textcolor[rgb]{1,0,0}{0}~1~1~0~1~0~0~0~0~1~1~0~0~0~1~0~1\\
\mathbf{+1} &=+ & \textcolor[rgb]{0,0,1}{0}~0~0~0~0~0~0~0~0~0~0~0~0~0~0~0~0~1\\
-77626_2~&=& \textcolor[rgb]{0,0,1}{1}~0~1~1~0~1~0~0~0~0~1~1~0~0~ 0~1~1~0
\end{array} \\\\
\textcolor[rgb]{0,0,1}{\mathrm{sign: \qquad 0 = + \qquad 1 = -}}$$

heureka  May 26, 2015

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