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Complete the timing diagram for the given circuit. Assume that both gates have a propagation delay of 5 ns. Y DD Z W X Y V Z 0 5 10 15 20 25 30 35 40 (ns)

Complete the timing diagram for the given circuit. Assume that both gates have a propagation delay of 5 ns. Y DD Z W X Y V Z 0 5 10 15 20 25 30 35 40 (ns)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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### Timing Diagram Analysis for Logic Circuit #### Circuit Description The circuit consists of two logic gates. The first gate is a three-input AND gate with inputs W, X, and Y, producing an output V. The output V is then fed into a NOT gate, which inverts the signal to produce the final output Z. #### Propagation Delay Both the AND and NOT gates have a propagation delay of 5 nanoseconds (ns). This means it takes 5 ns for a change in the input to result in a change in the output. #### Timing Diagram - **W, X, Y:** These lines represent the inputs to the AND gate. - **V:** The output of the AND gate. It goes high (1) when all of the inputs (W, X, Y) are high (1). Due to the propagation delay, V changes 5 ns after the inputs change. - **Z:** The output of the NOT gate, which is the inversion of V. It will switch from high to low or low to high depending on the state of V, with a 5 ns propagation delay from V. #### Timing Observations 1. **W Transition:** - Starts low, goes high at 5 ns, and returns to low at 25 ns. 2. **X Transition:** - Starts low, goes high at 10 ns, and returns to low at 30 ns. 3. **Y Transition:** - Starts high, goes low at 15 ns, and returns to high at 35 ns. 4. **V Output:** - V is high only when W, X, and Y are all high. Observing the transitions: - V goes high at 15 ns delayed to 20 ns due to propagation when all inputs are high. - V goes low at 25 ns delayed to 30 ns when any input goes low. 5. **Z Output:** - Z is the inverse of V. Thus: - Z starts high, goes low when V is high (at 20 ns in reaction to V's change at 15 ns), and goes back high at 30 ns when V goes low. The diagram plots these transitions over 40 ns.
Transcribed Image Text:### Timing Diagram Analysis for Logic Circuit #### Circuit Description The circuit consists of two logic gates. The first gate is a three-input AND gate with inputs W, X, and Y, producing an output V. The output V is then fed into a NOT gate, which inverts the signal to produce the final output Z. #### Propagation Delay Both the AND and NOT gates have a propagation delay of 5 nanoseconds (ns). This means it takes 5 ns for a change in the input to result in a change in the output. #### Timing Diagram - **W, X, Y:** These lines represent the inputs to the AND gate. - **V:** The output of the AND gate. It goes high (1) when all of the inputs (W, X, Y) are high (1). Due to the propagation delay, V changes 5 ns after the inputs change. - **Z:** The output of the NOT gate, which is the inversion of V. It will switch from high to low or low to high depending on the state of V, with a 5 ns propagation delay from V. #### Timing Observations 1. **W Transition:** - Starts low, goes high at 5 ns, and returns to low at 25 ns. 2. **X Transition:** - Starts low, goes high at 10 ns, and returns to low at 30 ns. 3. **Y Transition:** - Starts high, goes low at 15 ns, and returns to high at 35 ns. 4. **V Output:** - V is high only when W, X, and Y are all high. Observing the transitions: - V goes high at 15 ns delayed to 20 ns due to propagation when all inputs are high. - V goes low at 25 ns delayed to 30 ns when any input goes low. 5. **Z Output:** - Z is the inverse of V. Thus: - Z starts high, goes low when V is high (at 20 ns in reaction to V's change at 15 ns), and goes back high at 30 ns when V goes low. The diagram plots these transitions over 40 ns.
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