(a)
A | B | F(A, B) |
---|---|---|
F | F | F |
F | T | T |
T | F | T |
T | T | T |
(b)
A | B | C | F(A, B, C) |
---|---|---|---|
F | F | F | F |
F | F | T | F |
F | T | F | F |
F | T | T | T |
T | F | F | F |
T | F | T | T |
T | T | F | T |
T | T | T | T |
(c)
A | B | C | D | F(A, B, C, D) |
---|---|---|---|---|
F | F | F | F | F |
F | F | F | T | F |
F | F | T | F | F |
F | F | T | T | F |
F | T | F | F | F |
F | T | F | T | T |
F | T | T | F | F |
F | T | T | T | F |
T | F | F | F | F |
T | F | F | T | F |
T | F | T | F | F |
T | F | T | T | F |
T | T | F | F | F |
T | T | F | T | T |
T | T | T | F | T |
T | T | T | T | T |
Boolean Logic 1. Draw the truth table for the following functions: OF(A,B) = AB + (A...
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)
Boolean Algebra - Find the truth table for f(A, B,C,D) = ABD + BCD +ACD + AC
Using the Boolean logic expression below, draw circuit diagram with logic gates that will implement your Boolean expression without simplifying or expanding the expression. F(A, B, C, D) = ABD + ABCD + ABCD + ABCD Complete a Truth Table F(A, B, C, D). Use your logic circuit diagram and Boolean logic expression as much as possible.
2. Prove the logic equations for: a) /ABC + A/BC + AB/C + ABC AB + BC + CA b) AB + /AB + /A/B = /A + B using the truth table approach. The / indicates NOT for the variable immediately following it.
Prove or disprove the following expression. (Prove: using Boolean algebra. Disprove: using truth table.) (NOT is presented by -.) 1. a + b (c^- + d)^- = a^-b^- + a^-cd^- 2. ab^- + bc^- + ac^- = (a + b + c) (a^- + b^-+ c^-) 3. a^- + bd^-^- (c + d) + ab^-d = ac^-d + ab^-cd + abd
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 A. Show the truth table for this expression: X AND (Y XOR X) B. Show the truth table for this expression: Y OR (Y AND NOT X) C. Show the truth table for this expression: X NOR (Y NAND X) D. Draw a digital logic circuit for the expression used in 3A. E. Draw a digital logic circuit for the expression used in 3B. F. Draw a digital logic circuit for the expression used in 3C.
Q2) The following is a Boolean expression of a Combinational Logic Circuit. Construct the truth table and a Combinational Logic circuit using AND, OR and NOT logic gates for the Boolean expression. Redraw the logic circuit using only NAND gates. 19 Marks) X = A B C +ABC + ABC
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)
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.