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2. Prove the logic equations for: a) /ABC + A/BC + AB/C + ABC AB +...
Home work AB tAC t ABC A+BC Prove by truth table (AB)(A+B)C = A BC A+B ABC 2 Prove hy tra teble AAB+BAB + BA AB RB) ABc
a. Write the truth table for the following expression A 'BC + AB 'C' + A 'B 'C' + AB 'C + ABC where A' indicates not A. b. Prove that abc' + bc'd' + bc + c'd = b + c'd c. Draw the NAND gate implementation for F = BC + AB + A'B'C'D
Boolean Logic 1. Draw the truth table for the following functions: OF(A,B) = AB + (A + B) • F(A, B, C) = AB + BC+CA • F(A, B, C, D = ABC + ABD + BCD
b.) For the following Boolean Expression: B C + AB + ABC + ABCD + ĀBCD + ABCD i.) Develop the truth table 17:) fimplify the expression using K-map for the simplied iii) Draw the logic gates expression.
1. Q(A,B,C,D) = ABC'+ A'BC+C'D'+AB'+B'C a) Implement the previous function using logic gates. b) implement the same function using a 16 input multiplexer (74150) only. (Hint: draw the truth table for Q)
5. Simplify the following functions using Boolean algebra Y=BC+ABC + BC Y-AB + ABC + (AT Y =ABCD + ABC + ABCD + ABD + ABCD + BCD + Y = (C+ AB)-(A+B +D) + D (C + D)
Simplify boolean logic equation (~A~B~C)+(~A~C~D)+(AB~C)+(BC) to (AB)+(~A~B~C)+(BC)+(B~D) show steps
Prove the following using appropriate methods. 10) a AC + AB + BC = AB + BC + AC b. AC + BC + AB EBC + AB+ AC
6. Implement the following Boolean expressions using logic gates:o i. L (AB+ AB) (A + B) ii. L ABC + ABC + ABČ rontiers of iii. L = (A+ B). BC iv. L (A+ C). (B D)
Simplify the logic express Y(a,b,c)=(ab)'+acd'+a(bc)'+a'bc+(ab)'cd+a(cd)'.