Asked by Majiri
The sum of three numbers in base two is 11101. If the first two numbers are 1011 and 1101 find the
third number?
third number?
Answers
Answered by
Reiny
Just add and subtract in base 2
x + 1011 + 1101 = 11101
x + 11000 = 11101
= 101
or , copping out and changing to base 10
1011<sub>2</sub> = 11<sub>10</sub>
1101<sub>2</sub> = 13<sub>10</sub>
11101<sub>2</sub> = 29<sub>10</sub>
y + 11 + 13 = 29
y = 5
and 5<sub>10</sub> = 101<sub>2</sub> , as above
x + 1011 + 1101 = 11101
x + 11000 = 11101
= 101
or , copping out and changing to base 10
1011<sub>2</sub> = 11<sub>10</sub>
1101<sub>2</sub> = 13<sub>10</sub>
11101<sub>2</sub> = 29<sub>10</sub>
y + 11 + 13 = 29
y = 5
and 5<sub>10</sub> = 101<sub>2</sub> , as above
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