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ASSIGNMENT
PROGRAM BCA
SEMESTER 1
SUBJECT CODE & NAME BCA1040/IMC1040- DIGITAL LOGIC
CREDIT 4
BK ID B0948
MAX.MARKS 60
Note: Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
1 Solve each of the following 4-bit subtraction problems using 2’s complement representation.
1. (00110)2 – (00101)2
2. (0111)2 – (0001)2
Answer: The circuit has a Mode switch that allows you to choose between adding (M=0) and
subtracting (M=1). To understand why this circuit works, let’s review binary addition and binary
subtraction. We use 4-bit numbers in the examples because the main interactive circuit is a 4-bit
adder–subtractor.
Binary addition is certainly easier than
2 What is difference between minterm and maxterm? Express the following function
F(x,y,z) = (x+z) y in form of minterm and maxterm?
Answer:Minterm and maxterm: 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 property that it is equal to 1 on exactly one row of the truth table.
3 Draw truth table for following Boolean function
1. a) F(x,y) =(x+z)y
2. b) F(x,y) = xy +xy’

2. Answer: Mathematics normally works with a two-valued logic: Every statement is either True or
False.Youcan use truth tablestodetermine the truthorfalsityof a complicatedstatementbasedon
the truth or falsity of its simple components.
A statementinsentential logicisbuiltfromsimplestatementsusingthe logical connectives ~ , v,^,-,.
I'll construct tables which show how the truth or falsity of a statement built with these connective
depends on the truth or falsity of its components.
4 Simplify the following Boolean function using k map.
F(A, B, C, D) = ∑m(0,2,3,5,6,7,8,10,11,14,15)
Answer:
3-variable Karnaugh maps:
Above we, place the 1's in the K-map for each of the product terms, identify a group of two, then
write a p-term (product term) for the sole group as our simplified result.
5. Whatare sequential circuits?Explaindifferencesbetweensequential circuits and combinational
circuits.
Answer:Sequential circuits:- In digital circuittheory,sequential logicisa type of logic circuit whose
outputdependsnotonlyonthe presentvalue of itsinputsignalsbutonthe past historyof itsinputs.
Thisis incontrast to combinational logic,whose output is a function of only the present input. That
is, sequential logic has state (memory) while combinational logic does not. Or, in other words,
sequential logic is combinational logic with memory.
Sequential logic is used to construct
6. What is difference between Ring counter and Johson counter?
Answer : Ring counter
A ring counter is a type of counter composed of a circular shift register. If the output of a shift
register is fed back to the input a ring counter results. There are two types of ring counters:
 A straightringcounteror Over beckcounterconnectsthe output of the last shift register to the first
shift register input and circulates a single one (or zero) bit around the ring. For example, in a 4-
register one-hot counter, with initial
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