70CB hexadecimal to binary

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

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

B × 16⁰ = 11
C × 16¹ = 192
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:

11 + 192 + 0 + 28672 = 28875

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.

28875 ÷ 2 = 14437 with 1 remainder
14437 ÷ 2 = 7218 with 1 remainder
7218 ÷ 2 = 3609 with 0 remainder
3609 ÷ 2 = 1804 with 1 remainder
1804 ÷ 2 = 902 with 0 remainder
902 ÷ 2 = 451 with 0 remainder
451 ÷ 2 = 225 with 1 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 70CB hexadecimal to binary:

70CB hexadecimal = 111000011001011 binary

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70CC hexadecimal to binary
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