convert 1234into binary
Answers
Answer:
Explanation:
Here we will show you step-by-step how to convert the decimal number 1234 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 1234 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 1234 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 1234 as a binary.
Here we will show our work so you can follow along:
1234 / 2 = 617 with 0 remainder
617 / 2 = 308 with 1 remainder
308 / 2 = 154 with 0 remainder
154 / 2 = 77 with 0 remainder
77 / 2 = 38 with 1 remainder
38 / 2 = 19 with 0 remainder
19 / 2 = 9 with 1 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 1234 converted to binary is therefore:
10011010010
So what we did on the page was to Convert A10 to B2, where A is the decimal number 1234 and B is the binary number 10011010010. Which means that you can display decimal number 1234 to binary in mathematical terms as follows:
123410 = 100110100102
Decimal to Binary Converter
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How to Convert 1235 to Binary
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