Government Polytechnic Gandhinagar
Department of Instrumentation & Control
Digital Techniques
Assignment-1
Chapter-1(CO.a)
1) List the type of number system.
2) Represent integer and fractional part of given number.
1. 1011.011
2. 698.39
3) Convert following numbers from hexadecimal to octal and vice-versa.
1. (AD92.BCA)16= (?)8
2. (457) 8= (?)16
4) Convert following numbers from decimal to binary and vice-versa.
1. (151.25)10 = (?)2
2. (652)10 = (?)2
3. (110111)2 =(?)10
4. (10111)2=(?)10
5) Convert following numbers from hexadecimal to decimal and vice-versa.
1. (BD92.1B2)16= (?)10
2. (457)10 = (?)16
6) Multiply following numbers
1. 1001*100
2. 11110*101
3. 1110*11
7) Devide following numbers
1. 11011÷011
2. 11001÷110
3. 1001÷101
Chapter-2(CO.b)
1) State and prove De-Morgan’s theorem.
2) Prove: (1) A+(B+C)=(A+B)+C (2) A.(B.C)=(A.B).C
3) Prove: (1) A+(BC)=(A+B)(A+C) (2) A.(B+C)=(A.B)+(A.C)
4) Prove: (1) A.(A+B)=A (2) A+AB=A
5) Explain tri-state logic with neat diagram.
6) Explain logic gate with symbol, mathematical equation and truth table.
7) Describe two state logic.
8) Simplify the following Boolean expression and realize it with logic gates.
(1) F(X,Y,Z)=(X+Y)(X+Z)
(2) F(A,B,C)=ABC+A’+AB’C
(3) F(A,B,C)=A’B+BC’+BC+AB’C’
(4) F(X,Y,Z)=XY(Y’Z+XZ)
