
Here we will show you how to convert the hexadecimal number ED70 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 ED70 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in ED70 by 16⁰, multiply the second to last digit in ED70 by 16¹, multiply the third to last digit in ED70 by 16², multiply the fourth to last digit in ED70 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
7 × 16¹ = 112
D × 16² = 3328
E × 16³ = 57344
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:
0 + 112 + 3328 + 57344 = 60784
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.
60784 ÷ 2 = 30392 with 0 remainder
30392 ÷ 2 = 15196 with 0 remainder
15196 ÷ 2 = 7598 with 0 remainder
7598 ÷ 2 = 3799 with 0 remainder
3799 ÷ 2 = 1899 with 1 remainder
1899 ÷ 2 = 949 with 1 remainder
949 ÷ 2 = 474 with 1 remainder
474 ÷ 2 = 237 with 0 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 ED70 hexadecimal to binary:
ED70 hexadecimal = 1110110101110000 binary
Hexadecimal to Binary Converter
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ED71 hexadecimal to binary
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