Convert decimal number 24 into binary number with working
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24 dimension strength
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→Here we will show you step-by-step how to convert the decimal number 24 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 24 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 24 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 24 as a binary.
→Here we will show our work so you can follow along:
- 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 24 converted to binary is therefore:
≈ 11000
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