
Here we will show you how to convert the hexadecimal number 370D 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 370D from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 370D by 16⁰, multiply the second to last digit in 370D by 16¹, multiply the third to last digit in 370D by 16², multiply the fourth to last digit in 370D by 16³, and so on, until all the digits are used.
D × 16⁰ = 13
0 × 16¹ = 0
7 × 16² = 1792
3 × 16³ = 12288
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:
13 + 0 + 1792 + 12288 = 14093
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.
14093 ÷ 2 = 7046 with 1 remainder
7046 ÷ 2 = 3523 with 0 remainder
3523 ÷ 2 = 1761 with 1 remainder
1761 ÷ 2 = 880 with 1 remainder
880 ÷ 2 = 440 with 0 remainder
440 ÷ 2 = 220 with 0 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 370D hexadecimal to binary:
370D hexadecimal = 11011100001101 binary
Hexadecimal to Binary Converter
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370E hexadecimal to binary
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