for the problem: Convert 35 from base 10 to base 2.
i already did
35/2=17r1
17/2=8r1
8/2=4r0
4/2=2r0
2/2=1r0
1/2=0r1
what do i do know?
+9468 | 35 | / 2 | = | 17 | r | 1 |
| 17 | / 2 | = | 8 | r | 1 |
| 8 | / 2 | = | 4 | r | 0 |
| 4 | / 2 | = | 2 | r | 0 |
| 2 | / 2 | = | 1 | r | 0 |
| 1 | / 2 | = | 0 | r | 1 |
| ___ | ____ | __ |
Then read the remainders from bottom to top to get 100011
So 3510 = 1000112
+26368 Convert 35 from base 10 to base 2
\(\begin{array}{|rclcl|} \hline 35 &=& 2\cdot {\color{blue}17} &+& \color{red} 1 \\ {\color{blue}17} &=& 2\cdot {\color{blue}8} &+& \color{red} 1 \\ {\color{blue}8} &=& 2\cdot {\color{blue}4} &+& \color{red} 0 \\ {\color{blue}4} &=& 2\cdot {\color{blue}2} &+& \color{red} 0 \\ {\color{blue}2} &=& 2\cdot {\color{blue}1} &+& \color{red} 0 \\ {\color{blue}1} &=& 2\cdot {\color{blue}0} &+& \color{red} 1 \\ \hline \end{array}\)
\(\mathbf{35_{10} = {\color{red}100011}_2}\)
