Understanding Arithmetic Circuits

Adder

• Binary Adder Architecture Exploration ( pdf )

Adder type	Overview	Analysis	VHDL Level Design	CMOS Level Design
1. Ripple Carry Adder	pdf		pdf	pdf
2. Carry Lookahead Adder	pdf		pdf
3. Carry Save Adder	pdf
4. Carry Select Adder	pdf
5. Carry Skip Adder	pdf			pdf
6. Carry Chain Adder	pdf		pdf, pdf	pdf
7. Kogge-Stone Adder	pdf		pdf
8. Prefix Adder	pdf
9.1 Variable Block Adder	A, B
9.2 Multi-Level Variable Block Adder	pdf

Adder Architectures Suitable for FPGA

• FPGA Carry-Chain Adder (pdf)
• FPGA Carry Select Adder (pdf)
• FPGA Variable Block Adder (pdf)
• FPGA Carry Lookahead Adder (pdf)
• Carry-Skip Adder

Barrel Shifter

• Barrel Shifter Architecture Exploration (bshfit.vhdl, bshfit.makefile)

Mux Based Barrel Shifter

• Analysis (pdf)
• Implementation

Multiplier

Array Multipliers

• Analysis (pdf)

Tree Mulltipliers

• Lattice Multiplication (pdf)
• Wallace Tree (pdf)
• Dadda Tree (pdf)

Booth Multipliers

• Booth Encoding Note
• Booth Multiplier Note (H1.pdf)

Divider

• Binary Divider (pdf)
  

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