70A6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 70A6 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 70A6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 70A6 by 16⁰, multiply the second to last digit in 70A6 by 16¹, multiply the third to last digit in 70A6 by 16², multiply the fourth to last digit in 70A6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
A × 16¹ = 160
0 × 16² = 0
7 × 16³ = 28672

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:

6 + 160 + 0 + 28672 = 28838

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.

28838 ÷ 2 = 14419 with 0 remainder
14419 ÷ 2 = 7209 with 1 remainder
7209 ÷ 2 = 3604 with 1 remainder
3604 ÷ 2 = 1802 with 0 remainder
1802 ÷ 2 = 901 with 0 remainder
901 ÷ 2 = 450 with 1 remainder
450 ÷ 2 = 225 with 0 remainder
225 ÷ 2 = 112 with 1 remainder
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 70A6 hexadecimal to binary:

70A6 hexadecimal = 111000010100110 binary

Hexadecimal to Binary Converter
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70A7 hexadecimal to binary
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