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3-bit binary adder subtractor Author: JKTU Date: 27. June 29, By Administrator 4 Comments. The operation of adding two binary numbers is one of the fundamental tasks performed by a digital computer. In the first three operations, each binary addition gives sum as one biti. But the fourth addition operation gives a sum that consists of two binary digits.
In such result of the addition, lower significant bit is called as the sum bit, whereas the higher significant bit is called as the carry bit. The logic circuits which are designed to perform the addition of two binary numbers are called as binary adder circuits. In this article we are going to look at the binary addition performed by various adder circuits. Logic gates are used to accomplish the arithmetic operation of binary addition in digital circuits. A two input logic gate is required to accomplish the addition of two binary numbers. An inclusive-OR gate or basic OR gate adds integers together and produces an output 1 when both or either inputs are high. However, an OR gate does not achieve the binary addition because of the distinct operation compared with Ex-OR gate.
The figure below shows inclusive —OR gate and exclusive-OR gate with logic symbols and Boolean expressions. From the above figure, inclusive-OR gate has three outputs which are expressed as the product the inputs. Now, compare the exclusive-OR gate output expression with the inclusive-OR gate. There is a distinct difference between these two, hence the inclusive-OR gate achieves OR addition of integers where as the exclusive-OR performs the binary operation. By using several combinations of logic gates, an exclusive-OR Ex-OR gate can be implemented.
These combinations use some of the basic logic gates such as AND, OR, NOT, NAND, etc. Several Ex-OR gates can be integrated on a single IC chip using TTL as well as CMOS technologies. A typical IC 74LS86 is a 14 pin dual in-line package that has four Ex-OR gates. Now we will discuss about various binary addition circuits. Communications : COE PUNE Virtual LabA logic circuit block used for adding two one bit numbers or simply two bits is called as a half adder circuit.
This circuit has two inputs which accept the two bits and two outputs, with one producing sum output and other produce carry output. To accomplish the binary addition with Ex-OR gate, there is need of additional circuitry to perform the carry operation. Hence, a half adder is formed by connecting AND gate to the input terminals of the Ex-OR gate so as to produce the carry as shown in below figure. In the above half adderinputs are labeled as A and B.