Binary Number Organization MCQ Question 1:
What is the binary equivalent of the decimal number 67.625?
Answer
(Detailed Solution Below)
Option 4 : 1000011.101
In decimal to binary conversion, we catechumen a base ten number to a base of operations 2 number by using elementary methods. For example, if 12
10
is a decimal number and then its equivalent binary number is
11002
.
Fundamental Points
Converting 67.625
10
in Binary arrangement here and then:
The whole part of a number is obtained by dividing on the ground of new
Happened :67x = 10000112
The fractional part of the number is plant by multiplying on the basis of new
Happened:0.62510 = 0.1012
Add upwards together whole and fractional part here then:
10000112 + 0.1012 = 1000011.1012
Result of converting:
67.625ten = 1000011.1012
Hence thebinary equivalent of the decimal number 67.625 is
1000011.1012.
Binary Number System MCQ Question 2:
A bit is a binary digit, the smallest increment of data on a computer. A scrap can hold simply ane of ii values: 0 or ane, respective to the electrical values of off or on, respectively. Which of the post-obit is non a valid representation in bits?
Reply
(Detailed Solution Below)
Option 3 : 24 bit
- A bit is a binary digit, the smallest increment of information on a computer. A bit can hold only ane of two values: 0 or i, corresponding to the electric values of off or on, respectively.
- Because $.25 are so small, one rarely work with information one scrap at a time. Bits are usually assembled into a group of 8 to form a byte. A byte contains enough data to shop a unmarried ASCII character, similar “h”.
- There is no criteria like the 24 bit representation of numbers.
- Number tin exist written in 8-bit, 16-bit, 32-scrap, 64-scrap. Hence, option 3 is incorrect
Binary Number System MCQ Question 3:
A-F system is used in which of the following number systems?
Respond
(Detailed Solution Beneath)
Pick 3 : Hexa-Decimal
Hexa-Decimalnumber systems use the A-F arrangement.
The following table will hash out the four number system,
Number arrangement | Description | Example |
Binary |
|
1111 |
Octal |
|
17 |
Decimal |
|
15 |
Hexadecimal |
|
F |
Binary Number System MCQ Question 4:
The octal number system consists of the following symbols:
Answer
(Detailed Solution Below)
Option ane : 0 – 7
Anumber systemis defined as a system of writing to limited numbers. Information technology is the mathematical note for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
- A number system is a way to represent numbers. Base 10 or the decimal system is one common number organisation. Other number systems are Binary (base 2), Hexadecimal (base sixteen), and Octal (base 8). Early simple grades report numbers and operations in base ten commonly in whole numbers and some.
- Thefour nigh mutual number arrangement
types are:
- Decimal number arrangement (Base – x)
- Binary number arrangement (Base – two)
- Octal number system (Base – 8)
- Hexadecimal number organisation (Base – 16)
-
The octal numeral system,
or oct for brusque, is the
base of operations-8 number organization
and uses the
digits 0 to 7. Octal numerals can exist made from binary numerals by grouping consecutive binary digits into groups of three. - The octal numeral system, or oct for short, is the base-8 number arrangement and uses the digits 0 to 7.
- Octal numerals tin be fabricated from binary numerals by grouping consecutive binary digits into groups of 3 (starting from the right). For example, the binary representation for decimal 74 is 1001010. Two zeroes tin can be added at the left: (00)ane 001 010, corresponding to the octal digits ane one two, yielding the octal representation 112.
- In the decimal organisation, each decimal place is a power of 10. For example:
7410
= vii × 101+ iv × 100
- In the octal system, each identify is a power of eight. For instance:
1128= 1 × 8two+ 1 × eightone+ ii × 80
- Past performing the calculation above in the familiar decimal system we see why 112 in octal is equal to 64 + 8 + 2 = 74 in decimal.
- The octal numbering system uses the numerals 0-1-2-3-4-5-6-7. In computing environments, it is normally used equally a shorter representation of binary numbers by grouping binary digits into threes.
Therefore Option 1 is the correct answer.
Binary Number System MCQ Question 5:
The hexadecimal number arrangement consists of the symbols
Reply
(Detailed Solution Below)
Choice 2 : 0 – 9, A – F
Hexadecimal numerical system:
- Information technology is a numerical system that is made of
16 symbols. - Hexadecimal uses
decimal numbers and six extra symbols. - In that location are no numerical symbols that correspond values greater than 9, then messages taken from the English alphabet are used, specifically A, B, C, D, East, and F. Hexadecimal A = decimal 10, and hexadecimal F = decimal 15.
- A
binary number
is merely a string of zeros and ones:
11011011. - 3 bits, each beingness on or off, can represent the 8 numbers from
0 to 7, this is known as the
octal number organisation. - To avert confusion with decimal, octal, or other numbering systems, hexadecimal numbers are sometimes written with an “h” after or “0x” before the number.
- The hexadecimal number organisation consists of the symbols 0 – nine, A – F.
Hence, the right respond is
Option 2.
Binary Number System MCQ Question 6:
Which of the following number systems uses two numbers to represent information in figurer ?
Answer
(Detailed Solution Below)
Selection 3 : Binary
A number system includes the number of independent digits used in the number system (the base of operations), the place values of the different digits constituting the number and the maximum numbers that can exist written with the given number of digits.
The Binary Number System:
- A calculator system usesbits (binary digits) to denote values.It uses the binary number organization to shop data.
- Each digit (0 or i) is a bit thus the binary number 10110110 is a binary number having eight $.25.
- The binary number system with but2 independent digits, 0 and one, is a base-2 number system. All larger binary numbers are represented in terms of ‘0’ and ‘1’.
- A binary number can hands be converted to a decimal by multiplying each digit by a power of 2.
Therefore, a binary number organisation uses 2 numbers to represent data in the figurer.
-
Bicentennial: A bicentennial is a year in which you lot celebrate something important that happened exactly
2 hundred years earlier. -
Biometrics: Biometrics are physical or behavioral human characteristics that tin be used to digitally
place a person to grant access to systems, devices, or data. -
Byte: A byte is a unit of measurement of digital information that nigh commonly consists of eight bits. Historically, the byte was the number of bits used
to encode a unmarried character
of text in a figurer and for this reason, it is the smallest addressable unit of measurement of retentiveness in many computer architectures.
Binary Number System MCQ Question 7:
Given below are two statements:
Statement I:
The value of hexadecimal number 21 is 33 in the decimal number system.
Statement II:
The value of binary number 1110 is 14 in the decimal number organisation.
In the light of the in a higher place statements, choose the correct respond from the options given beneath:
Answer
(Detailed Solution Below)
Pick 1 : Both Statement I and Statement II are truthful
Adding steps:
- Conversiton from hexadecimal to decimal
- (21)₁₆ = (ii × 16¹) + (1 × sixteen⁰) = (33)₁₀
- The value of hexadecimal number 21 is 33 in the decimal number system is true.
- Conversiton from binary to decimal
- (1110)₂ = (1 × 2³) + (one × ii²) + (1 × 2¹) + (0 × two⁰) = (xiv)₁₀
- The value of binary number 1110 is fourteen in the decimal number arrangement.
Therefore both Statement I and Statement 2 are truthful.
Number organisation | Clarification | Example |
Binary |
|
1111 |
Octal |
|
17 |
Decimal |
|
15 |
Hexadecimal |
|
F |
Binary Number System MCQ Question eight:
Symbols A-F are used in which ane of the following ?
Reply
(Detailed Solution Below)
Option 3 : Hexadecimal number system
Number systems:
Number systems are the technique to correspond numbers in the computer organisation architecture, every value that you are saving or getting into/from figurer retentivity has a defined number organization. Computer architecture supports the following Number systems:
- Binary Number System: A Binary number system has simply 2 digits that are 0 and 1. Every number (value) represents 0 and one in this number system. The base of the binary number system is 2 because it has only two digits.
- Octal Number System: The octal number system has just viii (eight) digits from 0 to 7. Every number (value) represents with 0,one,2,3,4,five,6 and 7 in this number system. The base of the octal number organisation is 8 because it has only 8 digits.
- Decimal number organization: The decimal number system has simply ten (10) digits from 0 to 9. Every number (value) represents with 0,1,2,three,4,5,6, 7,8 and 9 in this number system. The base of the decimal number system is 10 considering it has just 10 digits.
- Hexadecimal number arrangement: A Hexadecimal number system has 16 (16) alphanumeric values from 0 to 9 and A to F. Every number (value) represents with 0,1,ii,3,four,v,6, 7,8,9,A,B,C,D,Due east and F in this number organisation. The base of the hexadecimal number system is 16 because it has 16 alphanumeric values. HitherA is ten, B is eleven, C is 12, D is 13, East is 14 and F is 15.
Number system |
Base |
Used digits |
Case |
Binary |
2 |
0,1 |
(11110000)2 |
Octal |
8 |
0,one,ii,iii,4,5,6,seven |
(360)8 |
Decimal |
ten |
0,1,two,three,iv,5,half-dozen,vii,8,9 |
(240)10 |
Hexadecimal |
sixteen |
0,1,2,3,iv,five,6,7,8,9, |
(F0)16 |
Therefore, Symbols A-F is used in the Hexadecimal number system.
Binary Number System MCQ Question 9:
The number of 8 bit strings that can be formed offset with either “111…” or “101…” is
Answer
(Detailed Solution Beneath)
Option 2 : 64
A number system includes the number of independent digits used in the number system (the base of operations), the place values of the unlike digits constituting the number, and the maximum numbers that can be written with the given number of digits.
The Binary Number Organisation:
- The binary number organisation with only 2 independent digits, 0 and one, is a base-2 number system.
- All larger binary numbers are represented in terms of ‘0’ and ‘1’.
Fundamental Points
- The number of 8-flake strings start with 111 is 32.The
- First 3 bits are fixed and the remaining 5 bits can be 0 or 1.
- So the total combinations are
- The aforementioned is the case with the strings starting with 101.
- And then the total number of strings is
32 + 32 = 64 ” function=”presentation” style=”display: inline; line-height: normal; overflow-wrap: normal; white-space: nowrap; bladder: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;” tabindex=”0″>
.
Hence, the number of eight-fleck strings that can exist formed beginning with either “111…” or “101…” is 64.
Binary Number Organisation MCQ Question ten:
What is the binary number for decimal number ix?
Answer
(Detailed Solution Below)
Pick two : 1001
The number system is a manner to represent or express numbers. You lot accept heard of various types of number systems such equally the whole numbers and the real numbers. But in the context of computers, we define other types of number systems. They are:
- The decimal number organisation
- The binary number arrangement
- The octal number organisation and
- The hexadecimal number system
Binary Number System:
- A binary number organization is 1 of the four types of number arrangement.
- In computer applications, where binary numbers are represented by only ii symbols or digits, i.due east. 0 (nil) and ane(one).
- The binary numbers here are expressed in the base-2 numeral system.
- For instance, (101)ii is a binary number. Each digit in this system is said to be a bit.
Hither we will show you footstep-by-step how to catechumen the decimal number ix to binary.
Pace 1) Divide 9 past 2 to get the Quotient. Keep the Whole part for the next pace and prepare the Remainder bated.
Step 2) Separate the Whole role of the Quotient from Pace i past 2. Again, keep the Whole office and fix the Residue bated.
Step iii) Repeat Stride 2 above until the Whole part is 0.
Stride iv)Write down the Remainders in contrary order to get the answer to nine every bit a binary.
Of import Points
Here we will show our piece of work so y’all tin follow along:
Decimal Number |
Operation |
Quotient |
Remainder |
Binary Number |
9 |
÷ 2 |
4 |
i |
1 |
4 |
÷ two |
ii |
0 |
01 |
2 |
÷ 2 |
1 |
0 |
001 |
i |
÷ 2 |
0 |
one |
1001 |
Therefore, Binary equivalent of decimal number 9 is 1001.
Source: https://testbook.com/objective-questions/te/mcq-on-binary-number-system–5eea6a1039140f30f369e887