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Consider the given pull-down network for a complex CMOS gate shown below. (a) Draw the dual pull up network. (b) Write the Boolean function representing the gate. (c) Size all transistors so that it has the same delay of a standard inverter (i. e. 1X NMOS and 2X PMOS).

Consider the given pull-down network for a complex CMOS gate shown below. (a) Draw the dual pull up network. (b) Write the Boolean function representing the gate. (c) Size all transistors so that it has the same delay of a standard inverter (i. e. 1X NMOS and 2X PMOS).

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  1. (10 points) Consider the given pull-down network for a complex CMOS gate shown below. (a) Draw the dual pull up network. (b) Write the Boolean function representing the gate. (c) Size all transistors so that it has the same delay of a standard inverter (i.e. 1 X NMOS and 2X PMOS).

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A full-adder is a basic combinational block used to build complex digital circuits. It is basically a 1-bit adder, that computes the sum S and output carry Cout of two input bits, A and B, plus the initial input carry Cin. The truth table of the full-adder is shown below. Cin A B S Cout 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1. Derive the logic functions for S and Cout. Use only AND, OR, and negation operators in your expressions. You can use whatever method you like (boolean algebra, Karnaugh maps, etc.). 2. Implement both of the functions as static CMOS logic gates (at most followed by an inverter). Draw the transistor-level schematics. You can assume that both the direct and negated versions of each input are available. 3. Size all the devices in the pull-up (PU) networks of your gates, so that the equivalent resistance of each PU is the same as that of a PMOS with W/L = 2. Repeat for the pull-down (PD) networks and a reference NMOS with W/L = 1. When you size a transistor network, you should always consider the input logic values that yield the worst-case equivalent resistance. Neglect the effect of internal node capacitances.
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Vtn = 0.8 V, Vtp = -0.9 V, a) Find the logic expression for Z. What function does this circuit implement? b) Draw the pull-up network that completes the CMOS logic circuit. c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 um/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure tPHL = tPLH for the equivalent inverter. d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit. Vtn = 0.8 V, Vtp = -0.9 V, unCox = 250 uA/V2, upCox = 120 uA/V2 is given. The pull-down section of a CMOS logic circuit is shown below. = 250 a) Find the logic expression for Z. What function does this circuit implement? b) Draw the pull-up network that completes the CMOS logic circuit. c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 um/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure tPHL = tPLH for the equivalent inverter. d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit. Vtn = 0.8 V, Vtp = -0.9 V, unCox = 250 uA/V2, upCox = 120 uA/V2 is given. The pull-down section of a CMOS logic circuit is shown below., a) Find the logic expression for Z. What function does this circuit implement? b) Draw the pull-up network that completes the CMOS logic circuit. c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 um/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure tPHL = tPLH for the equivalent inverter. d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit. Vtn = 0.8 V, Vtp = -0.9 V, unCox = 250 uA/V2, upCox = 120 uA/V2 is given. The pull-down section of a CMOS logic circuit is shown below. =120 a) Find the logic expression for Z. What function does this circuit implement? b) Draw the pull-up network that completes the CMOS logic circuit. c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 um/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure tPHL = tPLH for the equivalent inverter. d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit. Vtn = 0.8 V, Vtp = -0.9 V, unCox = 250 uA/V2, upCox = 120 uA/V2 is given. The pull-down section of a CMOS logic circuit is shown below. is given. The pull-down section of a CMOS logic circuit is shown below.

a) Find the logic expression for Z. What function does this circuit implement?

b) Draw the pull-up network that completes the CMOS logic circuit.

c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 müm/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure a) Find the logic expression for Z. What function does this circuit implement? b) Draw the pull-up network that completes the CMOS logic circuit. c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 um/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure tPHL = tPLH for the equivalent inverter. d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit. Vtn = 0.8 V, Vtp = -0.9 V, unCox = 250 uA/V2, upCox = 120 uA/V2 is given. The pull-down section of a CMOS logic circuit is shown below. for the equivalent inverter.

d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit.

a) Find the logic expression for Z. What function does this circuit implement? b) Draw the pull-up network that completes the CMOS logic circuit. c) Assume that the equivalent inverter has an NMOS transistor with a minimum size of 2 um/250 nm. Determine the equivalent PMOS transistor dimensions (W/L) that ensure tPHL = tPLH for the equivalent inverter. d) Find the NMOS and PMOS transistor dimensions in the CMOS logic circuit so that the propagation delays are equal to the value you found for the inverter in c) for the worst case, assuming an equal load capacitance for both the inverter and the logic circuit. Vtn = 0.8 V, Vtp = -0.9 V, unCox = 250 uA/V2, upCox = 120 uA/V2 is given. The pull-down section of a CMOS logic circuit is shown below.
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Problem 1: Consider the logic circuit below to the left: (a) What is the logic function implemented by the design below? (b) Size NMOS and PMOS devices in the circuit below so that the worst-case pull-up and pull-down strength of the circuit is exactly as much as in the inverter shown to the right. Assume that all the transistors in the circuit above and in the inverter have a minimum channel length (LMIN). In the inverter, the width of NMOS is WMIN and PMOS is 2×WMN. (c) For the logic design, identify the transition for the worst case 'high to low' and 'low to high' delay considering that only one of the input (among A, B, C) switches. Compute RC delay for these transitions. Assume that the resistance of a minimum width width (WMIN), the junction capacitance is C at each source and drain ends. Ignore any external load capacitance for the circuit.

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