1-) Simplify the following equation using boolean algebra (AB+ AB) (A + B) = ? 2-) Show that 3-input AND gate can be produced with using 2-input AND logic gates. Draw the circuit and write the truth table of 3-input AND gate. 3-) Prove that 4-input AND gate can be produced with using 2-input AND logic gates. Draw the circuit and write the truth table of 4-input AND gate. 4-) Show that 3-input OR can be produced with using 2-input OR logic gates. Draw the circuit and write the truth table of 3-input OR gate. 5-) Prove that 3-input NAND can be produced with using 2-input NAND logic gates. Draw the circuit and write the truth table of 3-input NAND gate. 1-) Simplify the following equation using boolean algebra (AB+ AB) (A + B) = ? 2-) Show that 3-input AND gate can be produced with using 2-input AND logic gates. Draw the circuit and write the truth table of 3-input AND gate. 3-) Prove that 4-input AND gate can be produced with using 2-input AND logic gates. Draw the circuit and write the truth table of 4-input AND gate. 4-) Show that 3-input OR can be produced with using 2-input OR logic gates. Draw the circuit and write the truth table of 3-input OR gate. 5-) Prove that 3-input NAND can be produced with using 2-input NAND logic gates. Draw the circuit and write the truth table of 3-input NAND gate.