
Here we will show you how to convert the hexadecimal number 70 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 70 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 70 by 16⁰, multiply the second to last digit in 70 by 16¹, multiply the third to last digit in 70 by 16², multiply the fourth to last digit in 70 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
7 × 16¹ = 112
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 = 112
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.
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 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 70 hexadecimal to binary:
70 hexadecimal = 1110000 binary
Hexadecimal to Binary Converter
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71 hexadecimal to binary
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