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Adder ppt
This document discusses different types of digital adders. It defines an adder as a digital circuit that performs addition of numbers. It describes half adders, full adders, ripple carry adders, and look ahead carry units. For half adders, it provides the logic equations for sum and carry outputs. For full adders, it gives the logic equations for sum and carry outputs and includes the truth table. It explains that ripple carry adders use multiple full adders in sequence to add N-bit numbers, with each carry bit "ripplying" to the next full adder.
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Presentation by Jadhav Avinash J. from SavitriBai Phule Pune University introducing the topic of adders.
An adder is a digital circuit for number addition used in processors for calculations like addresses.
Overview of different types of adders: Half Adder, Full Adder, Ripple Adder, Look Ahead Carry Unit, and Carry-save Adders.
Details on half adders, explaining the addition of two binary digits (A and B) with outputs for sum and carry.
Truth table illustrating the functionality and output combinations of a half adder.
Full adder circuit description for adding three input bits to produce a sum and carry bit.
Truth table for the full adder showing output for various input combinations of X, Y, and Z.
Ripple carry adder concept, using multiple full adders to add N-bit numbers with outputs cascading.
Combining carry lookahead adders for creating larger adders efficiently.
Open floor for any questions regarding the topics covered in the presentation.
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Adder ppt
- 1. ADDER -Jadhav AvinashJ. -2K13E11 - SavitriBai Phule Pune University 1
- 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. TYPES OF ADDERS??? Half Adder Full Adder Ripple Adder Look ahead carry unit Carry-save adders 3
- 4. HALF ADDER Thehalf 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
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- 6. FULL ADDER Acombinational 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. 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. 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. LOOK AHEAD CARRYUNIT 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
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