How to Convert 6345 to Binary

Here we will show you step-by-step how to convert the decimal number 6345 to binary.

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 6345 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 6345 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 6345 as a binary.

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

6345 ÷ 2 = 3172 with 1 remainder
3172 ÷ 2 = 1586 with 0 remainder
1586 ÷ 2 = 793 with 0 remainder
793 ÷ 2 = 396 with 1 remainder
396 ÷ 2 = 198 with 0 remainder
198 ÷ 2 = 99 with 0 remainder
99 ÷ 2 = 49 with 1 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 6345 converted to binary is therefore:

1100011001001

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 6345 and B is the binary number 1100011001001. Which means that you can display decimal number 6345 to binary in mathematical terms as follows:

6345₁₀ = 1100011001001₂

Decimal to Binary Converter
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How to Convert 6346 to Binary
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