1. Draw the schematics for the following functions using NOR gates and inverters only a. X+Y+Z)...

 

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1. Draw the schematics for the following functions using NOR gates and inverters only a. X+Y+Z) b. (X+Y)+(X+Z) 2. Draw the schematics for the following functions using NAND gate and inverters only a. X(YZ) b. XY+XZ 3. Prove the following simplification theorems using the first eight laws of Boolean algebra a. (x+y)(x+y)=x b. X(X+X)=X c. (x+y)=XY d. (x+1)(x+2)=XZ+XY 1. Draw the schematics for the following functions using NOR gates and inverters only a. X+Y+Z) b. (X+Y)+(X+Z) 2. Draw the schematics for the following functions using NAND gate and inverters only a. X(YZ) b. XY+XZ 3. Prove the following simplification theorems using the first eight laws of Boolean algebra a. (x+y)(x+y)=x b. X(X+X)=X c. (x+y)=XY d. (x+1)(x+2)=XZ+XY