Discrete Mathematics
Max Marks: 20
Note: The Question paper is divided into three sections A, B, and C. Write Answer as per the given instruction.
Section-A (Very Short Answer Type Questions)
Note: Answer all questions. As per the nature of the question you delimit your answer in one word, one sentence or maximum up to 30 words. Each question carries 1 mark. 4×1=04
Q.1 What is Number System ?
Q. 2 What is Positional Number System?
Q.3 Which one is the Value of ? (A58)16 = (?)10
Q.4 Which is the value of ? (100101)2 = (?)10
Section-B (Short Answer Questions)
Note: Answer any 2 questions. Each answer should not exceed 200 words. Each question carries 4 marks. 2×4=08
Q.1 Prove that :-
• A U (B U C) =(A U B) ∩ C
Q.2 Prove that ?
• A U (B ∩ C) = (A U B) ∩ (A U C)
Q.3 Prove that
• (A U B)’ = A’ ∩ B’
Q.4 Find the converse, inverse and contra positive of the following conditional “only Mohan teaches good will he get good results”
Section ‘C’ (Long Answer Questions)
Note: Answer any one question. You have to delimit your each answer maximum up to 800 words. Each question carries 08 marks.
Q1.Write the ASCII-7 coding for the word “GIRL” in both binary and hexadecimal notations
• How many bytes required to store this word using this coding.
Q2. Find the converse ,Inverse and contra-positive of the following:
• If today is rainy day, then tomorrow is Sunday.
• If A is rectangle ,then P is a square.
If Ram is good , then he is honest.
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