Homework

1.

  1. X = A · B
  2. AND
  3. 3.
A B X
0 0 0
1 0 0
0 1 0
1 1 1

AND means that it will output 1 only two input are both 1.

2.

  1. X = A⊕B
  2. XOR
  3. 3.
A B X
0 0 1
1 0 0
0 1 0
1 1 1

XOR means that it will output 0 only two input is equal.

3.

Answer to question 3

4.

A B Output
0 0 1
1 0 0
0 1 1
1 1 1

5.

In electrical engineering and science, an equivalent circuit refers to a theoretical circuit that retains all of the electrical characteristics of a given circuit. Often, an equivalent circuit is sought that simplifies calculation, and more broadly, that is a simplest form of a more complex circuit in order to aid analysis.

A B AB (AB)’
0 0 0 1
1 0 0 1
0 1 0 1
1 1 1 0
A B A’ B’ A’+B’
0 0 1 1 1
1 0 0 1 1
0 1 1 0 1
1 1 0 0 0

So they are equal.

6.

Answer to question 6

7.

  1. (X8X7X6X51111)2
  2. (X8X7X6X5(X4+1)(X3+1)(X2+1)(X1+1))2
  3. (X8X7X6X5(X4+1)(X3+1)(X2+1)(X1+1))2
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