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# Face-to-Face Interactive Math Online Tutions

Math online tutors is a teaching method, usually one-to-one, that takes place over the internet in real-time. Math online tutorsinvolve the live interaction of both teachers and students. The online tutor can be somebody the student already knows or somebody with whom the student only ever meets online. Online tutoring can be processed only if both student and tutor have an internet connection with sufficient bandwidth and an app to receive or deliver the online lesson.

## Why Should Students Prefer Math Online Tutions?

• Math online tutions is a platform that enables students to contact any teacher from any location whenever they need it. This enables students to clarify their mathematics doubts at any time of the day.
• Math online tutors not only increase flexibility but also increase flexibility as it saves time and money for students, and is also eco-friendly.
• Students can resolve even their complex mathematics doubts from anywhere where there is internet access.
• With online math classes, there are no limitations related to the locations. Students get more available options.
• With math online classes, students can learn more in one hour than in weeks of math classes at school.

## Learn Binary to Decimal Conversion Using Two Methods

It is important to learn how to convert a value from one number system to another number system as this enables us to tell when the two values with different numeral systems represent a similar amount. In the conversion of Binary to Decimal, we convert base 2 numbers to base 10 numbers using a binary to the decimal method. For example, if the binary number is (1011)₂ then the value of its equivalent decimal would be (11)10. Read on to know the method to convert binary to decimal numbers.

## Methods to Convert Binary Numbers to Decimal Numbers

Binary numbers can be converted into decimal numbers using 2 methods namely:

• Positional Method
• Doubling Method

## Positional Method to Convert Binary Numbers to Decimal Numbers

Following are the steps to convert binary numbers to decimal numbers using the positional method:
Let us convert the binary number (0100110)₂ to its equivalent decimal value.
Step 1: Starting from the right side, write down each digit of the given binary number by the increasing power of 2. Here, the first power would be 2⁰. As we move forward, the power will increase by 1. For example, the powers for the next digits will be 2¹, 2²,2³,2⁴, 2⁵,2⁶, and so on.  In the given binary number there are 7 digits, hence, the weight of each digit from the rightmost position will be

0 = 2⁰

1= 2¹

1 = 2²

0 = 2³

0 = 2⁴

1= 2⁵

0 = 2⁶

Step 2: Starting from the rightmost position, multiply each digit with its respective weight based on its position and evaluate the product. Further, sum up all the products obtained for all the digits in the binary number as shown below.

(0 2¹) + (1  2¹) + (1  2²) + (0  2³) + (0 2⁴) + (1  2⁵) + (0 2⁶)

= 0 + 2 + 4 + 0 + 0 + 32 + 0

= (38)10

With this, we get the equivalent decimal value of the binary number (0100110)₂.

Therefore,  (0100110)₂.= (38)0

## Doubling Method to Convert Binary Numbers to Decimal Numbers

Following are the steps to convert binary numbers to decimal numbers using the doubling method:

1. Write down the given binary number.
2. Starting from the left-most digit, double the previous digit and add the current digit. As we first observe the left-most digit, there is no previous digit to the left-most digit. Accordingly, we can consider the double of the previous digit as 0. For example:

In (101101), the left-most digit is 1, and there is no previous digit. Therefore, the double of the previous digit here will be 0. Accordingly, we get (0  2) + 1 = 1.

1. Continue the same process for the second digit also. The second digit is 0. Here, if we double the previous digit, we will get (1 + 1= 2). Now, if we add this double of the previous to the current digit, we get 2 + 0 = 2.
2. Continue the same steps with all the remaining digits. The sum you receive at the last will be considered as the decimal value. Therefore, the equivalent decimal value for the given binary number (101101)₂would be (45)

Hope you understood both the methods discussed above. Visit Cuemath to practice more and more questions related to binary to decimal conversion using the methods discussed above.

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