Final answer:
To implement the boolean logic Y = (A+B) (C+D) using CMOS logic, we can use a Pull-up Network (PUN) and a Pull-down Network (PDN) where the PUN consists of NMOS transistors connected to VDD and the PDN consists of PMOS transistors connected to VDD.
Step-by-step explanation:
CMOS Logic Circuit
To implement the boolean logic Y = (A+B) (C+D) using CMOS logic, we can use two main components: a Pull-up Network (PUN) and a Pull-down Network (PDN). The PUN consists of two parallel NMOS transistors connected to VDD, with their drains connected to the output Y. The PDN consists of two series PMOS transistors connected to VDD, with their drains connected to the output Y. The gates of the NMOS transistors are connected to the inputs A and B, while the gates of the PMOS transistors are connected to the inputs C and D.
When any of the inputs A, B, C, or D is low, the corresponding NMOS transistor in the PUN will be turned off, preventing the flow of current to the output Y. When all of the inputs are high, the corresponding PMOS transistor in the PDN will be turned off, allowing the flow of current to the output Y. Therefore, the overall logic of the circuit will follow the desired boolean expression Y = (A+B) (C+D).
The CMOS logic circuit for the Boolean logic Y = (A+B)(C+D) includes a pull-up network created with PMOS transistors in series for the AND function and a pull-down network with NMOS transistors in parallel for the AND function.
CMOS Logic Circuit Design for Boolean Expression
To design a CMOS logic circuit including the pull-up network (PUN) and pull-down network (PDN) to implement the Boolean logic Y = (A+B)(C+D), we can start by creating the PUN and PDN using PMOS and NMOS transistors, respectively.
In the pull-up network, PMOS transistors are used in parallel for the OR function (A+B) and in parallel for the OR function (C+D). These two sets of parallel PMOS transistors are placed in series with each other to realize the AND function. For the pull-down network, NMOS transistors are used in series for the OR functions, and these series are placed in parallel to realize the AND function. Remember that PMOS transistors pass a strong '1' when off, and NMOS pass a strong '0' when on.
Here is a basic structure of the CMOS logic circuit:
Note, specific transistor sizes and additional components for a real implementation, such as load capacitors or Vdd and Gd connections, are beyond the scope of this explanation. This design gives a high-level overview for educational purposes.