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Number Systems - 1

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The decimal number 16 is converted to the binary number, how many binary digits it has?

  1. 4

  2. 3

  3. 5

  4. 7


Correct Option: C

How many numbers are created with 8 bits?

  1. 256

  2. 128

  3. 64

  4. 16


Correct Option: A

When the decimal number 9 is converted to the binary number, the number of binary digits it has is

  1. 3

  2. 4

  3. 5

  4. 7


Correct Option: B

How many fraction digits does 2-48 have?

  1. 24

  2. 47

  3. 49

  4. 48


Correct Option: D

Number 84 in BCD is

  1. 12

  2. 22

  3. 1101

  4. 11100


Correct Option: A

The maximum count which a 6-bit binary word can represent is

  1. 36

  2. 64

  3. 63

  4. 65


Correct Option: C
Explanation:

The number of numbers which can be represented with a 6- bit binary word will be 26 = 64 and the numbers will range from 0 - 63. The maximum count which a 6-bit binary word can represent is 63.

When an odd number is converted into a binary number the least significant digit is

  1. 0

  2. 1

  3. 0 or 1

  4. None of these


Correct Option: B

What is the binary equivalent of the hexadecimal number B3?

  1. 10111

  2. 11211

  3. 10110011

  4. 13101


Correct Option: C

What is the decimal equivalent of the binary number (1110000)2 ?

  1. 52

  2. 112

  3. 126

  4. 122


Correct Option: B
Explanation:

 (1110000)2 = 24 +25 + 26 = 112. Hence, option 2 is correct.

What is the hexadecimal equivalent of decimal number 511?

  1. FF1

  2. 1FF

  3. 3FF

  4. FF3


Correct Option: B

What is the binary equivalent of decimal 269?

  1. 101100

  2. 101010

  3. 121011

  4. 101101


Correct Option: D

The gray code of decimal 7 is

  1. 0111

  2. 1011

  3. 2

  4. 0101


Correct Option: C

Number 221 in BCD is

  1. 001001000001

  2. 001000100001

  3. 010000100001

  4. 001000100010


Correct Option: B

How many different numbers can a 6-bit binary word represent?

  1. 63

  2. 64

  3. 124

  4. 32


Correct Option: B
Explanation:

The number of numbers which can be represented with a 6-digit binary number will be 26 = 64.

What is the hexadecimal equivalent of binary number 10101111?

  1. AF

  2. 9E

  3. 8C

  4. None of the above


Correct Option: A

A computer sends a message to another computer using odd parity bit with ASCII code. Which of the following conclusions is true?

  1. Contains 1-bit error

  2. Does not contain 1-bit error

  3. Contains 3-bit error

  4. May or may not contain 1-bit error


Correct Option: B

Which of the following code is known as the 8241 code?

  1. Gray code

  2. Excess-3 code

  3. ASCII code

  4. BCD code


Correct Option: C

The highest decimal number that can be represented by 10 binary digits is

  1. 1023

  2. 1024

  3. 512

  4. None of these


Correct Option: A
Explanation:

The number of numbers which can be represented by a 10-digit binary number will be 210 = 1024 and the numbers range from 0 - 1023. The maximum count which a 10-bit binary word can represent is 1023.

The sum of weights in a self- complementing BCD code must be

  1. 7

  2. 9

  3. 10

  4. 8


Correct Option: B

The ASCII code in hexadecimal for number 5 is

  1. 5

  2. 25

  3. 35

  4. 65


Correct Option: C

Which number system is not a positional notation system?

  1. ROMAN

  2. binary

  3. decimal

  4. hexadecimal


Correct Option: A

Complete the following sentence:

The ASCII.........

  1. is a subset of 8-bit EBCDIC

  2. is used only in western countries

  3. is version 11 of the ASC standard

  4. has 128 character, including 32 control characters


Correct Option: D

A 12-bit binary number has an accuracy equivalent to the decimal fraction

  1. 1/1024

  2. 1/2048

  3. 1/4096

  4. 1/6400


Correct Option: C

(r-1)' s compliment of the (r-1)' s compliment of an integer number is

  1. the original number

  2. the (r-2)' s compliment of the number

  3. the r' s compliment

  4. the none of the above


Correct Option: A

The octal equivalent of decimal 324.987 is

  1. 504.771

  2. 540.781

  3. 215.234

  4. 40.987


Correct Option: A
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