Implement the following Boolean Function F1(A, B, C, D) = (0, 2, 4, 7,10, 12, 14) With 16 x 1 multiplexer
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- Perform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.Draw the logic circuits for the following Boolean expressions and simplify the logic expressions using theorems of Boolean algebra. (Ā+B)(A+ Ē + D)DTo display the hexademical value of a 4- bit number on a 7-segement display. the LEDs of the seven segment compnent are lit with a logical "0" (actice low). The inputs are (active high). a) complete the below truth tablee for each output b) Using Karnaugh map provide the simplifed expession for each output(a,b,c,d)
- Create a logic diagram out of this boolean expression. CD+BD+BC+AD+AC+AB Note: All inputs A B C and D must be together.2. Design an electronic digital circuit that implements the following logic expressions. Hint: Consider a multiplexer approach as your first optimization alternative. F = A-B.C+ B.T D+C D+ A C.D+A.B F = A.B.C+ B.C.D+C D+A C-D+C D A-B.C+A.B -D+T D+A.C-D+C.D A.B.C+B C.D+C.D+ A.C-D+ A.B F = (7.2) Construct K-Maps for all expressions Construct the optimized circuit that best meets specifications 7.2.Computer architecture 1. Perform the following calculations. All numbers are 8-bit Integers; except where noted. Show all work. Note any overflow. Note that 2c signifies 2s complement and sm signifies signed-magnitude. I suggest you check your answers in base 10. 11110110 - 100101112c= 11110110 & 00001111= Convert -1610sm to Base 16 Convert AD16c to Base 10 F9 + E916c=
- Q 2. Implement the following Boolean function: F(A,B,C,D) = E(1,2, 5, 7,8,9,11,12,14,15) using: i. 4x1 Multiplexer ii. 2x1 Multiplexersimplify the boolean function E0 = AD’+B’C’D’+B’CD+BCD’+A’BC’DF1 and F2 are Boolean function F1=ab'c+a'bc'+bc F2=ab'c+ab+a'bc' using an OR gate array P1 to P3 are product term in one or more variable a,a',b,b'c and c'.Find out terms P1,P2,and P3 P, catic P3 F, F2
- write the Boolean expression for the following logic circuit: vi. A - Y B C Y =Design a circuit that takes the numbers 0 through 7 as inputs (0=000 , 1= 001, 2=010, ...., 7=111)and produces an output of 1 if and only if the input is an even numbera. Draw the truth tableb. Write the functionc. Simplify the function by k-mapd. Draw the logic gates of the simplified functionCreate a logic diagram out of this boolean expression. B'D+C'D+AB'+BCD' Note: All inputs A B C and D must be together.