Question 1:
Answer:
The truth table of the given expression is:
Hence, both sides are equal.
Question 2:
Answer:
The truth table of the given expression is:
Hence, both sides are equal.
Home work AB tAC t ABC A+BC Prove by truth table (AB)(A+B)C = A BC A+B...
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.
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
please answer 17c and 17d.
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba, bab], [b, aa], [ba, ab] c)lab, aba] lbaa, aa]. [aba. baal (dy [ab, bb], [aa, ba]. [ab, abb]. [bb, bab] e) [abb, ab], [aba, ba], [aab, abab]
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba,...
Realize Y= A`BC`+A`BC+A`B`C+ ABC` with a multiplexer Construct the truth table What is the size of the most economical Multiplexer? Draw the input output connections to realize the function Y using the multiplexer Draw the input output connections to realize Y using 3 most economical Multiplexers.
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
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
Question 17 5 pts a+bc 20 DCO ab+c 110 abc 300 a+b+c 65 abc+ 60 a+b+c+ 320 a+bc+ 110 ab+c+ 15 DCO Total 1000 What are Non Cross-over (NCO) genotypes? (Hint: Look for the parental genotypes) abc, a+b+c+ a+b+c, abc+ a+bc, ab+c+ ab+c, a+bc+
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.
(L33*) Verify the following commutation relations (a) [AB,C] A[B,C +IA,CIB (b) [A,|B C]l-IA,BC] [A,CB] The commutator [..] is an important operation in quantum physics. If the elements A.B.C... satisfy the following conditions, they are said to form a Lie-algebra (ab,c are real or complex numbers): ii) [A,Bl -IB.Al iii) The Jacobi identity [AJB CII + [BJCA]] + [CJA,BII :0 - BA Prove the Jacobi identity for [A,B] AB
(L33*) Verify the following commutation relations (a) [AB,C] A[B,C +IA,CIB (b) [A,|B...
solve logic expression and write truth table for both
WILUVIIDouo 11 Р a. M=(AB)+(CD) b. P = (AC+BC)(A+C)