Discrete Mathematics Answers

2. What does it mean for two propositions to be logically equivalent? 

6. (a) Draw the logic circuit for the following expression: AB + A(B+C)

(b) Simplify the expression in 6(a) by using the rules of Boolean algebra provided in (5). (c) Draw the simplified logic gate circuit derived in (b)

Complete the truth tables for these two Boolean expressions: (a) Output = A + B (b) Output = A + AB

Given the following Boolean expression on it, draw a logic gate circuit for this function. AB+ C (A+B)

Decrypt the word “xqjjud” mathematically with a shift of 5

Using Caesar cipher, encrypt the word “pizza” mathematically with a shift of 3

The following word was encrypted using a Caesar cipher with a shift of 2: ecguct. What word is it? 

. Andy is facing West, he rotates 1260 clockwise. What direction is he now facing? (Note: A circle has 360 degrees)

It is 8:00 AM in our 24 hour world. What time is it in a 3 hour world? 

Find a number which is congruent to 2 mod 3 and congruent to 3 mod 4.