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The 2-bit adder has two input lines and two output lines.

The two input lines are the two bits to be added, call them "Bit-A" and "Bit-B".

The two output lines are "sum" and "carry".

Here are the states of the "sum" and "carry" outputs, for every combination of inputs "Bit-A" and "Bit-B":

Bit-A . . . Bit-B . . . Sum . . . Carry

0 . . . . . . . . 0 . . . . . . 0 . . . . . . 0

0 . . . . . . . . 1 . . . . . . 1 . . . . . . 0

1 . . . . . . . . 0 . . . . . . 1 . . . . . . 0

1 . . . . . . . . 1 . . . . . . 0 . . . . . . 1


The Boolean functions for the two output lines are:

SUM = [ (Bit-A) XOR (Bit-B) ]

CARRY = [ (Bit-A) AND (Bit-B) ]

(Actually, I think the "adder" only has one output line, called "sum"; if it also has the "carry" output,
then it's called a "full adder". To me, a full adder is a snake plus a dead frog.)

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15y ago

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