State DeMorgan’s theorems?
(a) (i) Convert the following decimal number 278.125 to binary [2marks]
(ii) Convert the following binary number 01010011 to octal [2marks]
(iii) Perform the following binary subtraction using Twos complement
11012
-10012 [2marks]
(b) Use the truth table to prove that
(i) [2marks]
(ii) [2marks]
(c) Use Boolean algebra rules to prove that:
(i) [2marks]
(ii) (A + B)(A + C) = A+BC [2marks]
(d) (i) State DeMorgan’s theorems? [4marks]
(ii) Convert the following Boolean equations to standard form