Internal Exam paper of FCO (610004)

B.H. GARDI COLLEGE OF ENGINEERING AND TECHNOLOGY
M.C.A. 1st INTERNAL EXAM (Oct – 2010)
Subject :	(610004) FCO		Date : -	20/10/10
Total Marks :	30	Sem / Branch : -		1st M.C.A
Student ID :	______________	Time : -		8:30 to 9:30 am

Instructions: -

(1) Digits to the right indicate full marks.

(2) Assume suitable data whenever necessary.

(3) Start new question from new page.

Que.1	Do as directed 1) Convert (10101011)2 to Decimal. 2) Convert (512.25)10 to Binary. 3) Convert (1234)7 to decimal. 4) Convert (1001)2 into Grey Code. 5) Convert (4 ¼ )10 into decimal 6) Convert (1234)9 to decimal	06
Que.2(a)	Prove that NAND gate is universal gate.	03
Que.2(b)	Explain basic components of Digital Computer.	03
OR
Que.2(b)	Write De Morgan theorem for three variables in both form. Prove any one using perfect induction method.	03
Que.3	1) Substrate 0.5 – 40.24 using r’s and (r-l)’s complement. 2) Multiply (101.01 * 10.1)2 3) (34)7 = (____)12	02 02 02
OR
Que.3	1) Substrate (1101.01 - 1011.1)2 using r’s and (r-l)’s complement. 2) Divide (1010 / 10)2 3) (53)6 to (__)10	02 02 02
Que.4	Simplify the following Boolean function to the minimum number of literals and draw a block diagram for simplified circuit. 1) (A+B)’ (A’+B’)’ 2) y(wz’ + wz) + xy	06
OR
Que.4	Simplify the following Boolean function to the minimum number of literals. 1) ((ABC+A’B’)’+BC)’ 2) (WX+WY’)(X+W)+WX(X’+Y’)	06
Que.5	1) Simplify Boolean functions using K Map. F(A,B,C,D) = ∑ m(5,6,7,9,10,11,13,14,15) 2) Detect and correct error for even parity hamming code (1101010)2	04 02
OR
Que.5	1) Simplify Boolean functions using K Map. AB+AB’C+A’BC’+BC’ 2) Detect error using even parity code for given binary nos. a. 10101 b. 1101101	04 02

Best of Luck