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Design of Arithmetic Building Block Unit-5 VLSI.pptx
The document focuses on the design of arithmetic building blocks and subsystems, detailing elements such as adders (static and dynamic), multipliers, and shifters. It discusses optimization techniques for achieving faster circuits and describes various types of multipliers and their functioning. Additionally, it covers functional units in data paths, including binary multiplication and architectures for efficient computation.
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Design of Arithmetic Building Block Unit-5 VLSI.pptx
- 1. UNIT-5 Design of Arithmeticbuilding blocks and subsystems
- 2. Arithmetic Building Blocks •Datapathelements • Adder design Static adder Dynamic adder • Multiplier design Array multipliers • Shifters, Parity circuits
- 3. Composition of digitalprocessor Inter connections of basic combinational functions Addition, multiplication, comparison & shift Logical(AND,OR & XOR) RAM, ROM, Buffers, Shift registers - Finite state machine (PLA, random logic.) - Counters Interconnect - Switches - Arbiters - Bus
- 4. Bit sliced datapath organization
- 5. Adders •Commonly used inarithmetic operation •Also speed limiting element. •Optimization 1. logic level rearrange the Boolean equation 2. circuit level manipulate transistor sizes and circuit topology
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- 8. Ripple-Carry Adder Goal: Makethe fastest possible carry path circuit
- 9. Static CMOS FullAdder
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- 13. Carry bypass adder If Cin=1& p0,p1,p2..=1 C4=1 or cin Generally cout=cin
- 14. Carry bypass inManchester carry chain adder
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- 18. Linear Carry selectadder
- 19. Squart Root Carryselect adder
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- 22. 22 18: Datapath FunctionalUnits MULTIPLICATION Example: M x N-bit multiplication Produce N M-bit partial products Sum these to produce M+N-bit product 1100 : 1210 0101 : 510 1100 0000 1100 0000 00111100 : 6010 multiplier multiplicand partial products product
- 23. 23 18: Datapath FunctionalUnits GENERAL FORM Multiplicand: Y = (yM-1, yM-2, …, y1, y0) Multiplier: X = (xN-1, xN-2, …, x1, x0) Product: 1 1 1 1 0 0 0 0 2 2 2 M N N M j i i j j i i j j i i j P y x x y x0 y5 x0 y4 x0 y3 x0 y2 x0 y1 x0 y0 y5 y4 y3 y2 y1 y0 x5 x4 x3 x2 x1 x0 x1 y5 x1 y4 x1 y3 x1 y2 x1 y1 x1 y0 x2 y5 x2 y4 x2 y3 x2 y2 x2 y1 x2 y0 x3 y5 x3 y4 x3 y3 x3 y2 x3 y1 x3 y0 x4 y5 x4 y4 x4 y3 x4 y2 x4 y1 x4 y0 x5y5 x5y4 x5y3 x5y2 x5y1 x5y0 p0 p1 p2 p3 p4 p5 p6 p7 p8 p9 p10 p11 multiplier multiplicand partial products product
- 24. 24 BINARY MULTIPLICATION 18: DatapathFunctional Units
- 25. Multiplication Steps: 1.Patial productgeneration 3.Final addition 2.Partial product accumulation array multiplier Carry save multiplier Tree multiplier Baugh wooley multiplier Braun Multiplier
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- 28. CARRY SAVE ARRAYMULTIPLIER
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- 31. 31 BINARY SHIFTER 18: DatapathFunctional Units
- 32. 32 BARREL SHIFTER 18: DatapathFunctional Units