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
2. Carry Lookahead Adder	pdf		pdf
3. Carry Save Adder	pdf
4. Carry Select Adder	pdf
5. Carry Skip Adder	pdf
6. Carry Chain Adder	pdf		pdf
7. Kogge-Stone Adder	pdf		pdf
8. Prefix 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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