are Architecture HW #$6$

$(9$ Pts $-3$ Pts Each$)$ Apply DeMorgan's Theorem for NAND gates and use only $2-$Input NAND Gates to

a$.$ Create and sketch a simplified circuit with OR gate functionality.

b$.$ Prove the function of your design using DeMorgan's and$/$or other Boolean Theorems

c$.$ Prove the function of your design using Truth Tables

$(9$ Pts $-3$ Pts Each$)$ Apply DeMorgan's Theorem for NAND gates and use only $2-$Input NAND Gates to

a$.$ Create and sketch a simplified circuit with NOR gate functionality.

b$.$ Prove the function of your design using DeMorgan's and$/$or other Boolean Theorems

c$.$ Prove the function of your design using Truth Tables

$(9$ Pts $-3$ Pts Each$)$ Apply DeMorgan's Theorem for NOR gates and use only $2-$Input NOR Gates to

a$.$ Create and sketch a simplified circuit with OR gate functionality.

b$.$ Prove the function of your design using DeMorgan's and$/$or other Boolean Theorems

c$.$ Prove the function of your design using Truth Tables

$(9$ Pts $-3$ Pts Each$)$ Apply DeMorgan's Theorem for NOR gates and use only $2-$Input NOR Gates to

a$.$ Create and sketch a simplified circuit with AND gate functionality.

b$.$ Prove the function of your design using DeMorgan's and$/$or other Boolean Theorems

c$.$ Prove the function of your design using Truth Tables

$(9$ Pts $-3$ Pts Each$)$ Apply DeMorgan's Theorem for NOR gates and use only $2-$Input NOR Gates to

a$.$ Create and sketch a simplified circuit with NAND gate functionality.

b$.$ Prove the function of your design using DeMorgan's and$/$or other Boolean Theorems

c$.$ Prove the function of your design using Truth Tables