Lecture 5: Arithmetic Microoperations|Binary Adder/Subtractor/Incrementer|Arithmetic Unit

#BinaryAdder #BinaryAdderSubtractor #ArithmeticUnit
Arithmetic Microoperation:
Arithmetic Microoperations are used to perform arithmetic operations like addition, subtraction, Increment, Decrement etc.
Binary Adder:
The digital circuit that forms the arithmetic sum of two binary numbers of any length is called a binary adder. The binary adder is constructed with full-adder circuits connected in cascade, with the output carry from one full-adder connected to the input carry of the next full-adder.
Binary Adder-Subtractor:
The subtraction of binary numbers can be done most conveniently by means of complements.Remember that the subtraction A –B can be done by taking the 2’s complement of B and adding it to A.
The addition and subtraction operations can be combined into one common circuit by including an exclusive-OR gate with each full-adder. The mode input M controls the operation. When M = 0 the circuit is an adder and when M = 1 the circuit becomes a subtractor.
Binary Incrementer:
The increment microoperation adds one to a number in a register. This can be accomplished by means of half-adders connected in cascade.
Arithmetic Circuit:
Different arithmetic microoperations can be implemented in one composite arithmetic circuit. The basic component of an arithmetic circuit is the parallel adder. By controlling the data inputs to the adder, it is possible to obtain different types of arithmetic operations.

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