Solve for x in the following base two equation leaving your answer in base two 10x-11(1+x)/10=101

3 answers

Pls help me out
Staying in base 2
10x-11(1+x)/10=101
multiply all 3 terms by 10
100x - 11(1+x) = 1010
100x - 11 - 11x = 1010
1x = 1101

or, you could convert to base 10, the switch back
10x-11(1+x)/10=101 in base 2 becomes
2x - 3(1+x)/2 = 5
times 2 , just like before
4x - 3 - 3x = 10
x = 13
and 13 base 10 = 1101 in base 2

x = 11012
Ok I know I'm smart thank you
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