
Here we will show you how to convert the hexadecimal number 1394 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 1394 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 1394 by 16⁰, multiply the second to last digit in 1394 by 16¹, multiply the third to last digit in 1394 by 16², multiply the fourth to last digit in 1394 by 16³, and so on, until all the digits are used.
4 × 16⁰ = 4
9 × 16¹ = 144
3 × 16² = 768
1 × 16³ = 4096
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:
4 + 144 + 768 + 4096 = 5012
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.
5012 ÷ 2 = 2506 with 0 remainder
2506 ÷ 2 = 1253 with 0 remainder
1253 ÷ 2 = 626 with 1 remainder
626 ÷ 2 = 313 with 0 remainder
313 ÷ 2 = 156 with 1 remainder
156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 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
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 1394 hexadecimal to binary:
1394 hexadecimal = 1001110010100 binary
Hexadecimal to Binary Converter
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1395 hexadecimal to binary
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