Q:

10,101 base 2 + 11,011 base 2 =

Accepted Solution

A:
Answer:110,000 base 2Step-by-step explanation:column 1 [the first position in the number]:1+1=0, (carry 1)column 2:0+1 +1 (carried)=0, (carry 1)column 3:1+0+1 (carried)=0, (carry 1)column 4:0+1+1 (carried)=0, (carry 1)column 5:1+1+1=1, (carry 1)then you write the last 1 'cause there is n number to add with:[tex]10,101_{2}+11,011_{2}=110,000_{2}[/tex]In binary system the highest number to write is 1, if you add 1+1, it jumps to 0, and you have to carry 1 to the next position.If you are not sure about the sum, you can convert the numbers in base 2, to base 10, so you can know if it is correct:[tex]10,101_{2}=21_{10}\\11,011_{2}=27_{10}\\110,000_{2}=48_{10}[/tex]So 21+27=48.In decimal system when you add 9+1, it jumps to 0 and then you have to carry 1 to the next position, because the the highest number you can write is 9.