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Winter
2014
SEMESTER-I
SUBJECT
CODE & NAME
BT0064,
DIGITAL LOGIC
CREDIT-4
BK
ID-B0948
MAX.
MARKS-60
Q1.
Solve each of the following 4-bit subtraction problems using 2's complements
representation.
i.
(00110)2-(00101)2
ii.
(0111)2-(0001)2
Solution.
Q2.
What is difference
between minterm and maxterm? Express the following function:
F(x,y,z)=(x+y)z
in the form of minterm and maxterm.
Solution.
Minterm: Each row of a truth table can be associated with a minterm, which is a product (AND) of all
variables in the function, in direct or complemented form. A minterm has the
Q3.
Draw
truth table of following boolean function:
a)
F(x,y)=(x+z)y
b)
F(x,y)=xy+xy'
Answer.
a) Truth
Tbale for F(x,y)=(x+y)z
Q4.
Simplify
the boolean function using k map:
F(A,B,C,D)=∑m(0,2,3,5,6,7,8,10,11,14,15)
Solution.
The given function is:
Q5.
What are sequential circuits? Explain differences between sequential circuits
and combinational circuits.
Answer:
Sequential circuits
A digital logic
circuit or system is usually made up of combinational elements such as NAND and
NOR gates and memory elements which may, for example, be discrete flip-flops or
latches. Alternatively, an interconnection of these devices may be found in a
shift register, a counter, or in a variety of MSI and LSI packages. With the
introduction of memory elements as components in digital
Q6.
What is difference between Ring Counter and Johnson counter?
Answer.
Ring
counter
A ring counter is a
shift register (a cascade connection of flip-flops) with the output of the last
one connected to the input of the first, that is, in a ring. Typically a
pattern consisting of a single 1 bit is circulated, so the state repeats every
N clock cycles if N flip-flops are used. It can be used as a cycle
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