Question 3
Logic is basically human reasoning that tells us if certainproposition or declarative statement is true.
(a)There are five boards of directors (kojo, kofi, menash musah,and mawule) of a School. The board of director kojo owns 10%shares, kofi owns 30% shares, mensah owns 20% shares, musah owns25% shares and mawule 15% shares of the total shares. For theadoption of the particular policy to be passed in the boardsmeeting more than 66% should vote in favour of the policy.The weightage to the votes depend upon the percentage shares ownedby the directors. In the boards room each director has a switchwhich he turns ON if votes in favour of policy. Design a switchingcircuit to ring a bell if policy is accepted in the boards meeting.Only the NAND gates should be used to realize the circuit. (CR7marks)
(b) With relevant logic diagram and truth tableexplain the working of a two input EX-OR gate.
(EV marks8)
(c) Perform the following subtractions using 2scomplement method.
(i) 01000 01001 (ii) 01100 00011 (iii) 0011.1001 0001.1110 (CR5marks)
(Total 20 marks)
