colinabaptiste76
Answered

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Add base 2 numbers 11+101(hint conversation to decimal,operate and then convert back to base 2

Sagot :

Answer:

1000

Step-by-step explanation:

11=1×2^1+1×2^0

101=1×2^2+0×2^1+1×2^0

Adding 2^0 's together gives 2×2^0. As two is not an allowed digit in binary, we must rewrite as 1×2^1 and carry over.

Combining 2^1 terms gives 2×2^1. We run into same problem. We will rewrite as 1×2^2 and carry.

Combining 2^2 terms gives 2×2^2. Same problem... we rewrite as 1×2^3 and carry.

No more 2^3 's other than the one we carried over from previous addition.

Answer is 1000.

Another way.

Covert fully to base 10 and then add. Then convert back.

11=1×2^1+1×2^0=2+1=3.

101=1×2^2+0×2^1+1×2^0=5.

3+5=8

2^3=8...which means there are no 2^2 's, 2^1 's, or 2^0 's.

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