# Draw a full adder circuit using logic gates.Explain with truth table.Give also the expression for sum and carry

Draw a full adder circuit using logic gates.Explain with truth table.Give also the expression for sum and carry

 This type of adder is a little more difficult to implement than a half-adder. The main difference between a half-adder and a full-adder is that the full-adder has three inputs and two outputs. The first two inputs are A and B and the third input is an input carry designated as CIN.  When a full adder logic is designed we will be able to string eight of them together to create a byte-wide adder and cascade the carry bit from one adder to the next. The output carry is designated as COUT and the normal output is designated as S. Take a look at the truth-table

For the SUM (S) bit:

SUM = (A XOR B) XOR Cin = (A ⊕ B) ⊕ Cin

For the CARRY-OUT (Cout) bit:

CARRY-OUT = A AND B OR Cin (A XOR B) = A.B + Cin (A ⊕ B)

## Related questions

List various types of logic gates with its logic symbols and truth table. List also universal gates.
Last Answer : Digital systems are said to be constructed by using logic gates. These gates are the AND, OR, NOT, NAND, NOR, EXOR and EXNOR gates. The basic operations are described below with the aid of truth ... of sums form can be implemented using NOR gates by replacing all AND and OR gates by NOR gates.  ...

Define the logic operation of AND gate with Boolean equation.
Last Answer : Boolean Expression Q = A.B.C. Read as A AND B AND C gives Q. Because the Boolean expression for the logic AND function is defined as (.), which is a binary operation, AND gates can be cascaded together to form any number of individual inputs....

With the help of diagrams, explain the construction and working principle of permanent magnet moving coil instruments. obtain the expression for its deflecting torque.
Last Answer : Several electrical machines and panels are fitted onboard so that the ship can sail from one port to another, safely and efficiently. The electrical machinery and system require scheduled maintenance and ... eddy current set up in the aluminum coil which prevents the oscillation of the coil. ...

Draw and explain the operation of following flip-flops,(i) SR flip-flops (ii) D-flip lops.
Last Answer : SR Flip-Flop   The SR flip-flop, also known as a SR Latch, can be considered as one of the most basic sequential logic circuit possible. This simple flip-flop is basically a one-bit memory ... input is active. This then forms the basis of another sequential device called a D Flip Flop. ...