Q1. Which of the following number systems is considered as a base-10 number system?
(a) Decimal number system
(b) Binary number system
(c) Octal number system
(d) Hexadecimal number system
(e) None of these
Q2. The hexadecimal number system represents symbols __________ and __________.
(a) 0-9, A-E
(b) 0-9, A-F
(c) 1-10, A-E
(d) 1-10, A-F
(e) None of these
Q3. Which of the following gates is a complement of the X-OR gate?
(a) NOT gate
(b) NOR gate
(c) AND gate
(d) X-NOR gate
(e) None of these
Q4. The conversion of the binary number 10100111011 into its decimal form is __________.
(a) 1339
(b) 1349
(c) 1393
(d) 1939
(e) None of these
Q5. __________ are the gates that can be used to implement any type of Boolean logic.
(a) OR gates
(b) Universal gates
(c) NAND gates
(d) Exclusive-NOR gates
(e) AND gates
Q6. In number system, LSD stands for ___________.
(a) Left Significant Digit
(b) Low Significant Digit
(c) Lower Significant Digit
(d) Least Significant Digit
(e) Low Simple Digit
Q7. In decimal number 529, which of the following digits is known as the most significant digit?
(a) 5
(b) 2
(c) 9
(d) 10
(e) None of the above
Q8. In number system, ISCII stands for :
(a) Indian Standard Code for Information Interchange
(b) International Standard Code for Information Interchange
(c) Indian Standard Code for Interchanging Information
(d) International Standard Code for Interchanging Information
(e) None of the above
Q9. The decimal number represented of hexadecimal number 72 is __________.
(a) 115
(b) 114
(c) 124
(d) 134
(e) 142
Q10. In binary number system, LSB stands for __________.
(a) Least Significant Bit
(b) Lower Significant Bit
(c) Left Side Bit
(d) Least Significant Byte
(e) Lossy Signed Bit
Q11. If ∆ represents ‘1’ and ○ represents ‘0’. What will be the one’s complement of - ○∆○∆○∆?
(a) 010101
(b) 101010
(c) 101001
(d) 000000
(e) 111111
Q12. The binary form of 10010 is __________.
(a) 1100100
(b) 1101100
(c) 1100101
(d) 1100110
(e) 1010101
Q13. Which of the following is the correct binary form of 4A2.8D ?
Q14. Which of the following symbol represents decisional or conditional statement in a flow chart?
Q15. Which of the following is not a valid binary number?
(a) 00000
(b) 11111
(c) FFFFF
(d) 101010
(e) 010101
S1. Ans.(a)
Sol. Decimal number system has unique 10 digits, that is, from 0 to 9, to represent a number and its base (or radix) is 10. The decimal number system is also called a base-10 system as it has 10 digits.
S2. Ans.(b)
Sol. The hexadecimal number system has 16 possible digits represented by the symbols 0 to 9 and the alphabets A, B, C, D, E and F.
S3. Ans.(d)
Sol. X-NOR gate is a complement of the X-OR gate. The truth table of the X-NOR gate is the complement (opposite) to the X-OR gate.
S4. Ans.(a)
Sol. The required conversion is as follows:
101001110112 = 1 × 210 + 0 × 29 + 1 × 28 + 0 × 27 + 0 × 26 + 1 × 25 + 1 × 24 + 1 × 23 + 0 × 22 +1 × 21 + 1 × 20
= 1024 + 0 + 256 + 0 + 0 + 32 + 16 +8 + 0 + 2 + 1
= 1339
S5. Ans.(b)
Sol. Universal gates are the gates that can be used to implement any type of Boolean logic or circuit. There are two universal gates, namely, NAND gate and NOR gate, which can be used to implement any of the basic logic gates.
S6. Ans.(d)
Sol. In number system, LSD stands for Least Significant Digit. It refers to those digits that carry least weight.
S7. Ans.(a)
Sol. In decimal number, 529, the most significant digit is 5 as it carries the maximum weight.
S8. Ans.(a)
Sol. The full form of ISCII is Indian Standard Code for Information Interchange.
S9. Ans.(b)
Sol. The decimal number represented by hexadecimal number 72 is 114. The solution is as shown below:
S10. Ans.(a)
Sol. In binary number system, LSB stands for least significant bit. It is the rightmost digit of a binary number.
S11. Ans.(b)
Sol. ○∆○∆○∆ represents 010101. For finding one’s complement we change each 1 to 0 and each 0 to 1. Hence One’s complement of 010101 will be 101010.
S12. Ans.(a)
Sol. The conversion of decimal number 10010 to binary number is as follows:
64 = > 100-64 =36 => 1000000
32 => 36-32=4 => 100000
4 => 100
Now add all the preceding binary number, as shown below:
Therefore, the binary form of 100 is 1100100.
S13. Ans.(a)
Sol. The required conversion is as follows:
Therefore, 4A2.8D = 010010100010.10001101
S14. Ans.(c)
Sol. Diamond (rhombus) shaped figure represents decisional or conditional statement in a flow chart.
S15. Ans.(c)
Sol. Binary numbers have only two digits 0 and 1.
Solutions
S1. Ans.(a)
Sol. Decimal number system has unique 10 digits, that is, from 0 to 9, to represent a number and its base (or radix) is 10. The decimal number system is also called a base-10 system as it has 10 digits.
S2. Ans.(b)
Sol. The hexadecimal number system has 16 possible digits represented by the symbols 0 to 9 and the alphabets A, B, C, D, E and F.
S3. Ans.(d)
Sol. X-NOR gate is a complement of the X-OR gate. The truth table of the X-NOR gate is the complement (opposite) to the X-OR gate.
S4. Ans.(a)
Sol. The required conversion is as follows:
101001110112 = 1 × 210 + 0 × 29 + 1 × 28 + 0 × 27 + 0 × 26 + 1 × 25 + 1 × 24 + 1 × 23 + 0 × 22 +1 × 21 + 1 × 20
= 1024 + 0 + 256 + 0 + 0 + 32 + 16 +8 + 0 + 2 + 1
= 1339
S5. Ans.(b)
Sol. Universal gates are the gates that can be used to implement any type of Boolean logic or circuit. There are two universal gates, namely, NAND gate and NOR gate, which can be used to implement any of the basic logic gates.
S6. Ans.(d)
Sol. In number system, LSD stands for Least Significant Digit. It refers to those digits that carry least weight.
S7. Ans.(a)
Sol. In decimal number, 529, the most significant digit is 5 as it carries the maximum weight.
S8. Ans.(a)
Sol. The full form of ISCII is Indian Standard Code for Information Interchange.
S9. Ans.(b)
Sol. The decimal number represented by hexadecimal number 72 is 114. The solution is as shown below:
S10. Ans.(a)
Sol. In binary number system, LSB stands for least significant bit. It is the rightmost digit of a binary number.
S11. Ans.(b)
Sol. ○∆○∆○∆ represents 010101. For finding one’s complement we change each 1 to 0 and each 0 to 1. Hence One’s complement of 010101 will be 101010.
S12. Ans.(a)
Sol. The conversion of decimal number 10010 to binary number is as follows:
64 = > 100-64 =36 => 1000000
32 => 36-32=4 => 100000
4 => 100
Now add all the preceding binary number, as shown below:
Therefore, the binary form of 100 is 1100100.
S13. Ans.(a)
Sol. The required conversion is as follows:
Therefore, 4A2.8D = 010010100010.10001101
S14. Ans.(c)
Sol. Diamond (rhombus) shaped figure represents decisional or conditional statement in a flow chart.
S15. Ans.(c)
Sol. Binary numbers have only two digits 0 and 1.
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