Find the sum of binary number 1010 and 0011.

Question

BlackTom AI · Accepted Answer

To solve this, I’ll add the two binary numbers column by column just like decimal addition, but using base 2.
First, align the numbers: 1010 + 0011.
- Rightmost bit: 0 + 1 = 1, so the least significant bit is 1.
- Next bit: 1 + 1 = 2 in decimal, which is 0 with a carry of 1 in binary.
- Next bit (with carry 1): 0 + 0 + carry 1 = 1, so this bit is 1 with no further carry.
- Leftmost bit: 1 + 0 = 1, with no carry.
Putting the result together from most significant to least: 1101.
Now evaluate the provided options:
- Option a. 1101: This matches the computed sum, so it is correct.
- Option b. 1011: This differs in the middle bits; it would correspond to a different sum and indicates a misalignment of carries.
- Option c. 1021: This contains a '2', which is not a valid binary digit, so it cannot be the sum of binary numbers.
- Option d. 1111: This represents a larger sum than correct and would occur if there were an extra carry somewhere; it does not reflect the actual addition here.
Thus, the correct sum is 1101, and the other options either miscompute carries, include invalid digits for binary, or misplace bits.

Find the sum of binary number 1010 and 0011.单项选择题

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