Half-Adder Outputs

Half-Adder Outputs

A half-adder is a basic digital circuit that adds two binary inputs, usually written as A and B. It produces two outputs:

• Sum (S): the result bit of the addition
• Carry (C): the carry bit sent to the next place

1) Use the half-adder rules

For each pair of inputs, determine the outputs by checking the binary addition:

• 0 + 0 = 0 → Sum = 0, Carry = 0
• 0 + 1 = 1 → Sum = 1, Carry = 0
• 1 + 0 = 1 → Sum = 1, Carry = 0
• 1 + 1 = 10 → Sum = 0, Carry = 1

2) Read the output carefully

The sum is the rightmost bit of the result, and the carry is the extra bit when the result needs two binary digits.

3) Simplify the final answer

If the exercise asks for a written form, give the outputs clearly, for example as ordered pairs like (S, C) or as separate values if requested.

4) Check your work

A quick check is to verify that the outputs match ordinary binary addition:

• one input bit set to 1 gives sum 1 and carry 0
• both input bits set to 1 give sum 0 and carry 1

Using this table-based method helps you answer half-adder output exercises accurately every time.