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how to represent -77,626 in binary form?

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how to represent -77,626 in binary form?

Guest May 26, 2015

#1
+20025
+5

how to represent -77,626 in binary form ?

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

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

heureka  May 26, 2015
#1
+20025
+5

how to represent -77,626 in binary form ?

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

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

heureka  May 26, 2015