1) Transform the following binary numbers in decimal:

101110;  1110101; and 110110100.

2) Transform the following decimal numbers to the bases indicated.

a) 7562 to octal

b) 1938 to hexadecimal

c) 175 to binary

3) Display the value of all the bits of a 12-bit register that hold the number equivalent to decimal 215 in

a) Binary;

b) Octal;

c) Hexadecimal;

d) binary-coded decimal (BCD).

4) Compute by means of the truth table the validity of DeMorgan’s theorem for three variables: (ABC)’ = A’ + B’ + C’.

5) Simplify the following expressions using Boolean algebra.

a) AB + A(CD + CD’)

b) (BC’ + A’D) (AB’ + CD’)