Question

convert the decimal no. 341 into binary form and cross check the answer by converting them back into decimal form.

Pls friends answer this.
This is a question of computer not computer science.
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Answer 1

Answer:

First, note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and binary numbers use only 2 digits (0 and 1).

As we explain the steps to converting 341 to binary, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the Dividend, B is the Divisor and C is the Quotient.

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

 

Step 1) Divide 341 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 341 as a binary.

Here we will show our work so you can follow along:

341 / 2 = 170 with 1 remainder

170 / 2 = 85 with 0 remainder

85 / 2 = 42 with 1 remainder

42 / 2 = 21 with 0 remainder

21 / 2 = 10 with 1 remainder

10 / 2 = 5 with 0 remainder

5 / 2 = 2 with 1 remainder

2 / 2 = 1 with 0 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 341 converted to binary is therefore:

101010101

 

So what we did on the page was to Convert A10 to B2, where A is the decimal number 341 and B is the binary number 101010101. Which means that you can display decimal number 341 to binary in mathematical terms as follows:

34110 = 1010101012

Decimal to Binary Converter

Need another decimal number as a binary number? How to convert 341 to binary is not all we know. Convert another decimal to binary below:

Explanation: