You can write your answers on white paper or a tablet, then scan or save them into a single PDF$,$ and submit it through UR Courses. Ensure it's readable. Please note, using software to draw circuits is not allowed for this assignment$\mathrm{.}1.($i$)$Use only NAND gates to implement the Boolean function $(20$ marks$)=+.($ii$)$Use only NOR gates to implement the Boolean function $=+\mathrm{.}2.$ Convert the following binary numbers to octal, and hexadecimal number. $(20$ marks$)($a$)101111010111111($b$)110110110111($c$)1111100111110($d$)111010101103.$ A geothermal electricity generation facility uses a computer to monitor the temperature and pressure of four liquid storage tanks, as shown in Figure. Whenever a temperature or a pressure exceeds the danger limit$,$ an internal tank sensor applies a $1$ to its corresponding output to the computer. If all conditions are OK$,$ then all outputs are $0.(20$ marks$)$Note: Circuit connections for temperature and pressure monitors at a geothermal electricity generation facility, and the layout of binary data read by the computer monitoring system. $($a$)$ If the computer reads the binary string $00101000,$ what problems exist?$($b$)$ What problems exist if the computer is reading $55$H $(55$ hex$)?($c$)$ What hexadecimal number is read by the computer if the temperature and pressure in bothtanks D and B are high?$($d$)$ Tanks A and B are taken out of use, and their sensor outputs are connected to $1$s$.$ Acomputer programmer must write a program to ignore these new circuit conditions. The computer program must check that the value read is always less than what decimal equivalent when no problem exists?$($e$)$ In another area of the plant, only three tanks $($A$,$ B$,$ and C$)$ have to be monitored. What octal number is read if tank B has a high temperature and pressure?$4.$ Simplify the following Boolean functions using K$-$maps and draw the logic circuits:$(20$ marks$)($i$)=+++.($ii$)=+++5.$ Use AND gates, OR gates, or combinations of both to implement the following logic expressions as stated:$(20$ marks$)($a$)$ X $=$ A $+$ BCD$($b$)$ X $=($A $+$ B$)($C $+$ D$)($c$)$ X $=$ ABC $+$ BCD $+$ DEF$($d$)$ X $=$ ABC$($D $+$ E $+$ F$)+$ AC$($C $+$ D $+$ E$)$