How to Convert 7542 to Binary

Here we will show you step-by-step how to convert the decimal number 7542 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 7542 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 7542 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 7542 as a binary.

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

7542 ÷ 2 = 3771 with 0 remainder
3771 ÷ 2 = 1885 with 1 remainder
1885 ÷ 2 = 942 with 1 remainder
942 ÷ 2 = 471 with 0 remainder
471 ÷ 2 = 235 with 1 remainder
235 ÷ 2 = 117 with 1 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 7542 converted to binary is therefore:

1110101110110

So what we did on the page was to Convert A₁₀ to B₂, where A is the decimal number 7542 and B is the binary number 1110101110110. Which means that you can display decimal number 7542 to binary in mathematical terms as follows:

7542₁₀ = 1110101110110₂

Decimal to Binary Converter
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How to Convert 7543 to Binary
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