Binary Subtractor

• The subtrcation A - B can be performed by taking the 2 ’ s complement of B and adding it to A as A- B = A + (-B)
• It means that if we use the inveters to make 1’s complement of B (connecting each Bi to inverter) and then add 1 to the least significant bit (by setting carry C₀ to 1) of the binary adder, then we can produce a binary subtractor. Adder Subtractor
• The addition and subtraction can be combined into one circuit with one common binary adder
• The mode M controls operation. When M=0 the circuit is adder and when M=1 the circuit is subtractor. It can be done by using exclusive OR for the Bi and M each.

Bear that 1 ⊕x = x’ and 0 ⊕x = x

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