Binary Addition Quiz

In binary, 1 + 0 = 1, just like in decimal. There's no carry involved.

In binary, 1 + 1 = 10 (which is 2 in decimal). This is where a carry occurs: 0 is written and 1 is carried to the next bit.

Ones Col: 0 + 1 = 1
Twos Col: 1 + 0 = 1
Complete Binary number: 11

Ones Col: 0 + 0 = 0
Twos Col: 1 + 1 = 0 (carry over 1 to Fours Col)
Fours Col: 0 + 1 (from Twos Col) = 1
Complete Binary number: 100

Ones Col: 1 + 1 = 0 (carry over 1 to Twos Col)
Twos Col: 1 + 1 (from Ones Col) = 0 (carry over 1 to Fours Col)
Fours Col: 1 + 1 (from Twos Col) = 0 (carry over 1 to Eights Col)
Eights Col: 1 + 1 (from Fours Col) = 0 (carry over 1 to Sixteeens Col)
Sixteens Col: 0 + 1 (from Eights Col) = 1
Complete Binary number: 10000

Ones Col: 1 + 0 + 0 = 1
Twos Col: 0 + 1 + 0 = 1
Fours Col: 0 + 0 + 1 = 1
Complete Binary number: 111

Ones Col: 0 + 1 + 1 = 0 (carry over 1 to Twos Col)
Twos Col: 1 + 1 + 1 (from Ones Col) = 1 (carry over 1 to Fours Col)
Fours Col: 1 (from Twos Col) + 0 + 1 = 0 (carry over 1 to Eights Col)
Eights Col: 0 + 0 + 1 (from Fours Col)= 1
Complete Binary number: 1010

Ones Col: 1 + 1 + 1 = 1 (carry over 1 to Twos Col)
Twos Col: 1 + 1 + 1 (from Ones Col) = 1 (carry over 1 to Fours Col)
Fours Col: 1 + 1 + 1 (from Twos Col) = 1 (carry over 1 to Eights Col)
Eights Col: 0 + 0 + 1 (from Fours Col) = 1
Complete Binary number: 1111

Ones Col: 1 + 0 + 1 = 0 (carry over 1 to Twos Col)
Twos Col: 1 (from Ones Col) + 0 + 1 = 0 (carry over 1 to Fours Col)
Fours Col: 0 + 1 + 1 (from Twos Col) = 0 (carry over 1 to Eights Col)
Eights Col: 1 + 0 + 1 (from Fours Col) = 0 (carry over to Sixteens Col)
Sixteens Col: 0 + 0 + 1 (from Eights Col) = 1
Complete Binary number: 10000

Ones Col: 0 + 1 + 1 = 0 (carry over 1 to Twos Col)
Twos Col: 1 + 1 + 1 (from Ones Col) = 1 (carry over to Fours Col)
Fours Col: 1 + 1 + 1 + 1 (from Twos Col) = 0 (carry over 0 to Eights and 1 to Sixteens Col)
Eights Col: 1 + 0 + 0 (from Fours Col) = 1
Sixteens Col: 0 + 0 + 1 (from Fours Col) = 1
Complete Binary number: 11010