Add 1101\(_2\),10111\(_2\) and 111\(_2\)
1110112
1101102
1010112
1010102
Explanation
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Discussions (16)
1101,10111&111 (all in base 2)
10111
01101
00111
_______
101011
________
we start solving from the right hand side ..
Rightmost column: 1+1+1=3 (but since it is in base 2 we can't put any number higher than 2.. so we divide by the base which is 2
2 will go in 3 once remaining 1, so write down the remender (1) and carry 1 over
Second column: 0+1+1+( the 1 we carried over) =3 ( just like how we solved the first one write one and Carry one
Third column: 1+1+1+( the 1 we carried over )=4
4÷2 =2(we can't write 2 because we are dealing in base 2 our answer has to be less than the base)
then 2÷2 is 1 re 0
write down zero and Carry one
. Fourth column: 1+0+0+(the 1 we carried)=2
as usual divide write zero and Carry 1 over. Fifth column: 0+1+0+(the one that was carried over)=2
divide 2 by 2 write 0 and Carry one
since there is nothing more put the one that was carried over in front
hope this helped tho
1101,10111&111 (all in base 2)
10111
01101
00111
_______
101011
________
we start solving from the right hand side
