Photolithography is a microfabrication process used in IC manufacturing to transfer geometric patterns from a photomask onto a silicon wafer using light-sensitive material called photoresist. It plays a crucial role in defining circuit patterns during CMOS fabrication.
b) Need for Low Power VLSI Circuits
Low power VLSI circuits are essential due to increased device density, battery-operated portable systems, thermal constraints, reliability issues, and power-aware computing. Reducing power dissipation improves performance, battery life, and chip reliability.
c) Contamination Delay
Contamination delay is the minimum time after an input change before the output begins to change. It is important in timing analysis to avoid race conditions and ensure correct sequential circuit operation.
d) Logical Effort (with Example)
Logical effort is a measure of how much worse a logic gate is at driving current compared to an inverter. Example: NAND gate has higher logical effort than an inverter due to stacked transistors, resulting in higher delay.
e) Static Power vs Dynamic Power
Static Power
Dynamic Power
Due to leakage currents
Due to switching activity
Present even when idle
Occurs during transitions
Increases with scaling
Depends on frequency & capacitance
f) 2:1 MUX Using CMOS Transmission Gate
A 2:1 multiplexer using transmission gates employs complementary NMOS and PMOS switches controlled by select and its complement. This provides full voltage swing and low resistance for both logic levels.
g) Storage Elements
Storage elements store binary information and include latches, flip-flops, SRAM cells, and DRAM cells. They are used in registers, memories, and sequential circuits.
h) SRAM vs DRAM
SRAM
DRAM
Faster
Slower
No refresh needed
Needs refresh
Larger cell size
Smaller cell
Used in cache
Used in main memory
i) Controllability and Observability
Controllability measures how easily a node can be set to logic 0 or 1. Observability measures how easily a node’s value can be observed at output. Both are crucial in VLSI testing.
j) Stuck-at-0 and Stuck-at-1 Faults
A stuck-at-0 fault forces a signal permanently to logic 0, while a stuck-at-1 fault forces it to logic 1. These are common fault models in digital circuit testing.
SECTION B – Long Answers (10 Marks Each)
2(a) Semiconductor Hierarchy, Moore’s Law & VLSI Testing
LSI (Large Scale Integration) VLSI (Very Large Scale Integration)
ULSI (Ultra Large Scale Integration)
Moore’s Law states that the number of transistors on a chip doubles approximately every 18–24 months, leading to increased performance and reduced cost per function.
VLSI Testing ensures correctness, reliability, and manufacturability of chips. It includes fault modeling, test pattern generation, BIST, and scan-based testing.
2(b) Elmore Delay Model
The Elmore delay model estimates delay in RC networks by approximating the first moment of impulse response. For an RC tree, delay is calculated as the sum of resistance multiplied by downstream capacitances.
Merits: Simple and fast
Useful in early design stages Reasonably accurate for interconnect delay estimation
Faster than static CMOS Suffers from monotonicity problem
NP Domino CMOS: Uses both n-type and p-type dynamic logic
Allows both rising and falling transitions Higher complexity but better performance
2(d) Read/Write Operation of SRAM Cell
An SRAM cell consists of six transistors (6T).
Write: Data is forced through bit lines
Read: Cell state is sensed without disturbing data
Multiple 1-bit cells are arranged in rows and columns with decoders and sense amplifiers to form larger memory arrays.
2(e) Issues in BIST Techniques
Issues include area overhead, power consumption, fault coverage limitations, test pattern quality, performance degradation, and increased design complexity.
SECTION C – Very Long Answers (10 Marks Each)
3(a) Y-Chart and VLSI Design Process
The Y-chart represents VLSI design at three abstraction levels:
Behavioral (what the system does)
Structural (how components are connected)
Physical (layout and fabrication)
Design proceeds through specification, architecture, logic design, circuit design, layout, fabrication, and testing.
Advantages: Structured design approach
Supports hierarchy and abstraction Improves design productivity
3(b) CMOS Fabrication Using n-Well Process
Steps include wafer preparation, oxidation, photolithography, n-well formation, gate oxide growth, polysilicon deposition, source/drain diffusion, metallization, and passivation. (Neat labeled diagram to be drawn in exam)
Static power is due to leakage currents, and short-circuit power occurs during switching when both NMOS and PMOS are ON.
4(b) RC Delay Model for Interconnects
Interconnects are modeled as distributed RC networks. Delay increases with wire length, resistance, and capacitance, making interconnect delay dominant in deep submicron technologies.
5(a) NORA and TSPC Dynamic CMOS Logic
NORA Logic: Combines dynamic logic blocks without inverters, improving speed. TSPC Logic: Uses single-phase clocking, reducing clock complexity and power.
Precharge-evaluate logic precharges nodes and conditionally discharges them during evaluation. SRAM uses bistable latches; DRAM uses capacitor-based storage.
6(a) DRAM Cell, Leakage and Refresh
DRAM stores charge on a capacitor which leaks over time. Periodic refresh is required to maintain data integrity.
6(b) Types of Power Dissipation in CMOS
Dynamic switching power
Short-circuit power
Leakage power (subthreshold, gate leakage)
7(a) Parallel Processing in Low Power CMOS
Parallel processing reduces operating frequency while maintaining throughput, leading to quadratic reduction in dynamic power.
7(b) Short Notes
i) Adiabatic Logic Circuits These reduce energy loss by recycling charge during switching using time-varying power supplies.
ii) Scan Cell Based Approach Scan cells convert sequential circuits into combinational ones for easier testing and higher fault coverage.
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