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1. 1. ADDER -Jadhav Avinash J. -2K13E11 - SavitriBai Phule Pune University 1
2. 2. ADDER MEANS???  An adder is a digital circuit that performs addition of numbers.  In processor it is used to calculate addresses, table indices, and similar operations.  It can be constructed for many numerical representations, such as binary-coded decimal or excess-3,the most common adders operate on binary numbers. 2
3. 3. TYPES OF ADDERS???  Half Adder  Full Adder  Ripple Adder  Look ahead carry unit  Carry-save adders 3
4. 4. HALF ADDER The half adder adds two single binary digits A and B. It has two outputs, sum (S) and carry (C). Sum = AB’+A’B. Carry=A*B. For half-adder design, an XOR gate & an AND gate 4
5. 5. TRUTH TABLE 5
6. 6. FULL ADDER A combinational circuit that adds 3 input bits to generate a Sum bit and a Carry bit Where X,Y,Z are inputs and C & S are outputs. Sum= X+Y+Z. Cout= XY’+YZ’+ZX’. 6
7. 7. TRUTH TABLE 7 X Y Z S C 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0
8. 8. RIPPLE CARRY ADDER 8 It is possible to create a logical circuit using multiple full adders to add N-bit numbers. Each full adder inputs a Cin, which is the Cout of the previous adder. This kind of adder is called a ripple-carry adder, since each carry bit "ripples" to the next full adder.
9. 9. LOOK AHEAD CARRY UNIT  By combining multiple carry lookahead adders even larger adders can be created.  This can be used at multiple levels to make even larger adders. 9
10. 10. 10 Any QUESTIONS???