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5. Given f(X,Y,Z)- XZ(XY+XY'), a) Express f as a minterm expansion b) Express f as a minterm expansion c) Express f as a max term expansion d) Express f as a max term expansion. Use m/M notation.
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
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
Write Truth Table for Y = AB + AB' + A'B **Truth table has inputs ABC** ABC AB AB' A'B Y 000 001 010 011 100 101 110 111 Y={m (___________________________)
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
Factor the expression A’B’ + (CD’ + E) to obtain a product of sums Given: F(a, b, c, d) = (a + b + d)(a’ + c)(a’ + b’ + c’)(a + b + c’ + d’) Express F as a minterm expansion (Use m-notation): F = ∑ Express F as a maxterm expansion (Use M-notation): F = ∏ Express F’ as a minterm expansion (Use m-notation): F’ = ∑ Express F’ as a maxterm expansion (Use M-notation): F’ =...
2. Prove that A+B AB by: a. b. c. d. Using truth tables for both the right and right sides of the equation. Drawing a gate level schematic for both the right and right sides of the equation Which theorem is this? Restate the theorem in terms of gates.
solve logic expression and write truth table for both
WILUVIIDouo 11 Р a. M=(AB)+(CD) b. P = (AC+BC)(A+C)
1) Implement each side with gates, that is a block diagram/schematic a+(b+c) = (a+b)+c a(b+c) = ab + ac 2) Make a truth table for each of the functions below and identify where each term comes from in the truth table a. F=X’Y+Y’Z’+XYZ b. G=XY+(X’+Z)(Y+Z’) c. H=WX+XY’+WX’Z+XYZ’+W’XY’ 3) For the expression F = A’B’C + ABC + ABC’ How many literals are there ___________ How many terms are there ___________ 4) F(a,b,c,d) = m(0,1,4,7,12) Find the canonical sum (which is...
For Function F(a, b, c) = (a+b)' *c+a*b*c' +a*c Create the truth table Create the combinational circuit implementing the function Reduce the circuit