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- Minimize the following expression using Boolean rules: F=XY+X(Y+Z)+Y(Y+Z)Use DeMorgan's law to determine if each of the following pairs of statements are equivalent or not. a) ~(~p V q), p V ~q b~(p V ~q), ~p^qQUESTION 6 P6.8 Simplify the following Boolean expression using Boolean algebra laws: XY[Y +(XY)]′
- Find the value of the expression 8 5 7 3 * - +Simplify the following expressions by applying Boolean rules. (XY)(YZ)1) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’yz+x’yz’+xy’z’+xyz+xyz’ , can be written as: 2) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’y’z+x’yz+x’yz’+xy’z’+xyz’ , can be written as:
- Simplify the following regular expressions (a + b)∗ba(a + b)∗ + a∗bx^4+2(x^3)-7(x^2)+3 a) One of the root of the equation lies in the range (1.0, 2.0). Find this root in 100 iterations using the bisection method.b) Draw the graph of the function between points (0, 2).=> Your code should include the following steps:• Write the steps of the bisection function (if, else…) and explain each step. (Explain each step in English)• Your code should calculate the root.• Graphic;Variables of x and y axes should be written,x and y axis names should be written,Series should be written to calculate x axis. Use the linspace() for the x series of the graph and section the range 0-2 into 100 pieces.=>The output of your code should include:• The root of the function• Graph of the function1) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’yz+x’yz’+xy’z’+xyz+xyz’ , can be written as: 2) The simplified version of the Boolean function, F(x,y,z)= x’y’z+x’y’z+x’yz+x’yz’+xy’z’+xyz’ , can be written as: 3)convert the following decimal fractions to binary with a maximum of six places to the right of the binary point: 1)25.84375 2)57.55 3)80.9065 4) Convert the following binary fractions to decimal: 1)100001.111 2)111111.10011 3)1001100.1011 5) Fill in the blank. The representation of 60 in binary using 8-bit signed magnitude is ______, in ones complement is ______, in two’s complement is ______, and in excess-127 is ______.
- Conversion of Units. 1. Given a distance of 50 miles, convert the distance to meters. (HINT: Convert miles to kilometers and then to meters).2. Given 40 miles, convert the distance to kilometers.3. Given a speed of 90 kilometers/hour, convert the speed to miles per hour.4. Convert 125 ponds to kilograms5. Convert 3 gallons in liters6. Convert four days to seconds7. Convert 90 ° F to ° C (For conversion formula refer Chapter 4)8. Convert -40 ° F to ° CCode and output is mustx^4+2(x^3)-7(x^2)+3=0 a) One of the root of the equation lies in the range (1.0, 2.0). Find this root in 100 iterations using the bisection method. b) Draw the graph of the function between points (0, 2). Your code should include the following steps: • Write the steps of the bisection function (if, else…) and explain each step. (Explain each step in English)• Your code should calculate the root.• Graphic; Variables of x and y axes should be written, x and y axis names should be written, Series should be written to calculate x axis. Use the linspace() for the x series of the graph and section the range 0-2 into 100 pieces. Solve with phyton.