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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 Add the following 8-bit binary numbers
- (01001110)2 + (00111100)2
- (10011101)2 + (10001111)2
Answer : Binary Arithmetic:-The arithmetic operations – addition, subtraction, multiplication and division, performed on the binary numbers is called binary arithmetic . In computer systems, the basic arithmetic operations performed on the binary numbers is –
- Binary Addition, and
- Binary Subtraction,
In the following subsections, we discuss the binary addition and the binary subtraction operations.
Binary addition involves adding of two or more binary numbers. The binary addition rules are used while performing the binary addition. Table 1 shows the binary addition rules.
Binary Addition:-Binary addition involves adding of two or more binary numbers. The binary addition rules are used while performing the
2 Explain the rules for simplifying functions using Karnaugh maps.
Answer : The Karnaugh map uses the following rules for the simplification of expressions by grouping together adjacent cells containing ones
- Groups may not include any cell containing a zero
- Groups may be horizontal or vertical, but not diagonal.
3 Expand the following Boolean functions into their canonical form:
- f(X,Y,Z)=XY+YZ+ X Z+ X Y
- f(X,Y,Z)=XY+ X Y + X YZ
Answer : Canonical Forms:-Canonical forms express all binary variables in every product (AND) or sum (OR) term of the Boolean function. There are two types of canonical forms of a Boolean function. The first one is called sum-of product and the second one is called product-of-sum.
A’BC+A’BC’+ABC’+AB’C’+A’B’C’+ABC is a canonical sum-of-
4 .Simplify the following Boolean function:
F = A’C + A’B + AB’C + BC, using K-map?
Answer : A K-map shows the value of a function for every combination of input values just like a truth table, but a K-map spatially arranges the values so it is easy to find common terms that can be factored out. The image below shows the form of a 2,
- What are sequential circuits? Explain differences between sequential circuits and combinational circuits.
Answer : Sequential circuits:- In digital circuit theory, sequential logic is a type of logic circuit whose output depends not only on the present value of its input signals but on the past history of its inputs. This is in contrast 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 finite state
- 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 straight ring counter or Over beck counter connects the output of the last shift register to the first shift register input and circulates a single one (or
Dear students get fully solved assignments
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or
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