Adders are the basic element of many VLSI systems and are used in various
arithmetic operations like subtraction, multiplication and division. So designing a single bit full
adder cell is a significant step for building large VLSI systems. Reducing the power
consumption and delay in adders is the major goal to be achieved in most VLSI systems. The
exclusive-OR (XOR) and exclusive-NOR (XNOR) gates are the basic building blocks of
large circuits like full adder and parity checkers. Hence, optimized designs of these gates
enhance the performance of circuits like full adders, as these gates are used as sub-blocks in
large circuits. Power consumption in adders also affects the power bill of a VLSI chip
and increases with the increase in the number of components on the chip. With the
increase in the operating frequency of the system, power consumption increases at a rapid
rate. The need for ultra-fast systems with high frequency further aggravates the problem
of power dissipation. The designers now focus not only on the performance of these
systems but also on the power consumption of VLSI circuits. The problem of power
consumption has to be addressed by the researchers without compromising the speed of these systems.
The conventional approaches for power reduction seek to reduce the power
supply voltage, decrease the load capacitance or reduce the number of transitions on the
node. But to achieve a significant noise margin, a suitable level of supply voltage is
mandatory. Power consumption is also reduced with reduction in power supply voltage but at the
cost of current leakage (Chandrakasan et
al., 1992; and Chandrakasan and Brodersen,
1995). A number of techniques have been proposed for the single bit full adder design,
including the Complementary Metal-Oxide Semiconductor (CMOS) adder, Static Energy
Recovery Full adder (SERF), Transmission Function Adder (TFA), Complementary Pass
Transistor (CPL) adder, etc. (Ahmed and Magdy, 1997 and 2000; Al-Sheraidah et al., 2001; Hung et al., 2002; Jyh-Ming et al., 2004; Yingtao et al., 2004; Jin-Fa et al., 2007; and Moradi et al., 2009). |