**Question No 1**

Here we will show you step-by-step how to convert the decimal number 4789 to binary. Binary to Decimal

**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 4789 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 4789 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 4789 as a binary.

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

4789 / 2 = 2394 with 1 remainder

2394 / 2 = 1197 with 0 remainder

1197 / 2 = 598 with 1 remainder

598 / 2 = 299 with 0 remainder

299 / 2 = 149 with 1 remainder

149 / 2 = 74 with 1 remainder

74 / 2 = 37 with 0 remainder

37 / 2 = 18 with 1 remainder

18 / 2 = 9 with 0 remainder

9 / 2 = 4 with 1 remainder

4 / 2 = 2 with 0 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 4789 converted to binary is therefore:

**1001010110101**

So what we did on the page was to Convert A10 to B2, where A is the decimal number 4789 and B is the binary number 1001010110101. Which means that you can display decimal number 4789 to binary in mathematical terms as follows:

478910 = 10010101101012

**Binary To Decimal**

Here we will tell you what 1001010110101 binary is converted to decimal and then show you how we converted it. 1001010110101 binary converted to decimal is as follows:

**1001010110101 = 4789**

Here is how to convert 1001010110101 binary to decimal:

Step 1) Note that there are 13 digits in 1001010110101. That means there are 13 positions - the first position is the digit furthest to the right.

Step 2) Multiply the number in the first position by 20 (=1), the second position by 21 (=2), the third position by 22 (=4) and so on. (See Table 1 for longer list.) Here is the math for the 13 digits in 1001010110101:

1 x 1 = 1

0 x 2 = 0

1 x 4 = 4

0 x 8 = 0

1 x 16 = 16

1 x 32 = 32

0 x 64 = 0

1 x 128 = 128

0 x 256 = 0

1 x 512 = 512

0 x 1024 = 0

0 x 2048 = 0

1 x 4096 = 4096

Step 3) Finally, add up the answers from Step 2 to get the answer to 1001010110101 binary converted to decimal:

1 + 0 + 4 + 0 + 16 + 32 + 0 + 128 + 0 + 512 + 0 + 0 + 4096 = 4789

Once again, the answer is as follows:

**1001010110101 = 4789**