In binary number system, the number 100 represents
A. One
B. Three
C. Four
D. Hundred
Answer
634.8k+ views
Hint:This question is based on the binary number to decimal number conversion. You need to follow the rules of conversion here to find out the decimal number for the given binary number.
Complete answer:
For finding binary to a decimal number, you can follow two approaches; we will be calculating the answer from both the methods. The most accurate method of converting the binary into decimal is that we multiply each number of the binary with its place position as a power of 2. The place position is counted from the left, and it starts from zero. We will use it here to find the 100 is represented as what binary number.
The binary number system is very important in computer languages because it stores all numbers in 0 and 1 form. And we process some data; then, the normal number gets converted into the binary one.
Now for the binary system, we can write
$0 = 0$
$1 = 1$
For writing the next number, i.e., 3 in binary, we will start with 0 again but adding 1 to the right Then, $3 = 10$ and so on, we can write the binary for further numbers, but this is a very lengthy way to find the binary number for the decimal number.So for writing 4, we first write the zero then adding 10 to the right of it, i.e. $4=100$
From another method, we multiply each number of the binary with its place position as a power of 2. The place position is counted from the left, and it starts from zero.
So, $100 = 1 \times {2^2} + 0 \times {2^1} + 0 \times {2^0} \Rightarrow 4$
So, the binary number 100 is written 4 in the decimal system.
Hence, option C is the correct answer.
Note:You may go wrong in the question in finding the place value of each digit of a given number because the counting of place value starts from the number 0 and continues further. Place value counting starts from left always.
Complete answer:
For finding binary to a decimal number, you can follow two approaches; we will be calculating the answer from both the methods. The most accurate method of converting the binary into decimal is that we multiply each number of the binary with its place position as a power of 2. The place position is counted from the left, and it starts from zero. We will use it here to find the 100 is represented as what binary number.
The binary number system is very important in computer languages because it stores all numbers in 0 and 1 form. And we process some data; then, the normal number gets converted into the binary one.
Now for the binary system, we can write
$0 = 0$
$1 = 1$
For writing the next number, i.e., 3 in binary, we will start with 0 again but adding 1 to the right Then, $3 = 10$ and so on, we can write the binary for further numbers, but this is a very lengthy way to find the binary number for the decimal number.So for writing 4, we first write the zero then adding 10 to the right of it, i.e. $4=100$
From another method, we multiply each number of the binary with its place position as a power of 2. The place position is counted from the left, and it starts from zero.
So, $100 = 1 \times {2^2} + 0 \times {2^1} + 0 \times {2^0} \Rightarrow 4$
So, the binary number 100 is written 4 in the decimal system.
Hence, option C is the correct answer.
Note:You may go wrong in the question in finding the place value of each digit of a given number because the counting of place value starts from the number 0 and continues further. Place value counting starts from left always.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

