Raymond B. answered • 04/27/21
Math, microeconomics or criminal justice
In binary, the number system to the base 2, 1+1 = 10
the 10 means 1 times 2 + 0 times 1= 2+0 = 2 in the decimal system or in any other base number larger than 2
In the decimal system, the number system to the base 10, there are 10 digits, from 0 to 9. once you get to 10, you go back to 0 for the one's digit, and have 1 in the ten's digit. that means 1 x 10 + 0 x 1 = 10+0 = 10
In the binary number system, there are only 2 digits, 0 and 1, if you add 1 to 1 you get 10. similar to how you add 1 to 9 and get 10 in the decimal system. But in binary the 1 digit in 10 means you have 1x2 if you convert it to the decimal system. in binary to decimal
1 = 1
10 = 2
11 = 3
100= 4
101= 5
110 = 6
111= 7
1000= 8
1001=9
1010= 10
1011= 11
1100 = 12
1101 = 13
1110= 14
1111=15
1111 in binary means 1x2^3 + 1x2^2 + 1x2^1 + 1x2^0 = 8+4+2 +1=15
10 in binary means 1x2^1 + 1x2^0 = 2+0 = 2 in the decimal system
I've heard Common Core teaches the binary or other number systems as early as 5th grade. I'm not sure that's the best idea
Or, if you just want to stick to the decimal system, which we probably got because we have 10 fingers to count on, then 1+1 is illustrated by one apple plus another apple = 2 apples.
AB C.
Thank you!04/27/21