2348 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 2348 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 2348 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 2348 by 16⁰, multiply the second to last digit in 2348 by 16¹, multiply the third to last digit in 2348 by 16², multiply the fourth to last digit in 2348 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
4 × 16¹ = 64
3 × 16² = 768
2 × 16³ = 8192

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

8 + 64 + 768 + 8192 = 9032

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

9032 ÷ 2 = 4516 with 0 remainder
4516 ÷ 2 = 2258 with 0 remainder
2258 ÷ 2 = 1129 with 0 remainder
1129 ÷ 2 = 564 with 1 remainder
564 ÷ 2 = 282 with 0 remainder
282 ÷ 2 = 141 with 0 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 2348 hexadecimal to binary:

2348 hexadecimal = 10001101001000 binary

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2349 hexadecimal to binary
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