Logic Circuit Design Procedure

$1)$ Determine and assign a letter to the inputs and outputs of the circuit

$2)$ Make a truth table

$3)$ Simplify the stated problem using K$-$map method

$4)$ Draw the logic diagram of the circuit

$5)$ Simulate the logic circuit

$6\mathrm{.}1.$a Combinational Circuit Design I

Design a combinational circuit with four inputs $\backslash ($ A$,$ B$,$ C$,$ D $\backslash )$ and one output $\backslash ($ F $\backslash ).$ Suppose that $\backslash ($ F $\backslash )$ is equal to $1$ when $\backslash ($ A$=0\backslash )$ and $\backslash ($ B$=1\backslash )$ or $\backslash ($ A$=1\backslash )$ and $\backslash ($ C$=1\backslash )$ or $\backslash ($ A$=1\backslash )$ and $\backslash ($ D$=1\backslash )$ otherwise the output is to be equal to $0.$

i$)$ Write the truth table and design the circuit of the simplified F function with NAND gates only. $($PDF$)$

ii$)$ Draw the Logic Diagram of the circuit. $($Proteus$)$

$6\mathrm{.}1.$b $2-$bit Binary Number Comparator

Design a logic circuit that compares two $2-$bit binary numbers as shown in Figure $1.$ There must be two $2-$bit inputs and two outputs.