Laws

Question 1

X+1:

Answer 1

1

Question 2

X+0:

Answer 2

X

Question 3

X.1:

Answer 3

X

Question 4

X.0:

Answer 4

0

Question 5

X+X:

Answer 5

X

Question 6

X.X:

Answer 6

X

Question 7

X+NOT(X):

Answer 7

1

Question 8

X.NOT(X):

Answer 8

0

Question 9

NOT(X+Y):

Answer 9

NOT(X).NOT(Y)

Question 10

X.(Y+Z):

Answer 10

X.Y+X.Z

Question 11

X+(X.Y):

Answer 11

X

Question 12

X.(X+Y):

Answer 12

X

Question 13

Order of operations:

Answer 13

(),not,and,or,xor

Question 14

X+X.Y:

Answer 14

X.(1+Y) –> etc.

Question 15

What is an edge-triggered d-type flip flop:

Answer 15

A memory unit that changes state with each clock pulse - it is just 1 bit that changes with the rising edge of the clock

Question 16

What does an edge-triggered d-type flip flop do:

Answer 16

It takes in the input data and outputs it until the next clock pulse is received

Question 17

Describe a half-adder:

Answer 17

A and B go into an XOR gate for the result, and also separately into an AND gate to find the carry bit

Question 18

Describe a full adder:

Answer 18

Same as a half adder - the result is then applied to another half adder, with the second input coming from the carry bit. The result of the second XOR is the result, and the AND gate results are ORed to get the carry bit