Binary Subtractor Truth Table. From the truth table we can conclude that the first three rows can represent the result using a single digit. A half subtractor circuit consists of three logic gates as follows.
Observe that a b is identical to the logical xor operation and that carry is the same as the logical and operation. Truth table for half binary subtractor half subtractor circuit. Then the resulting truth table is the difference between the two input bits of a single binary subtractor is given as.
Solving the truth table using k map is shown below.
From the truth table we can conclude that the first three rows can represent the result using a single digit. Observe that a b is identical to the logical xor operation and that carry is the same as the logical and operation. 2 input exclusive or gate as with the binary adder the difference between the two digits is only a 1 when these two inputs are not equal as given by the ex or expression. Note that in the case of 1 1 a carry results into the next bit to the left.