A70B hexadecimal to binary

Here we will show you how to convert the hexadecimal number A70B 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 A70B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A70B by 16⁰, multiply the second to last digit in A70B by 16¹, multiply the third to last digit in A70B by 16², multiply the fourth to last digit in A70B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
7 × 16² = 1792
A × 16³ = 40960

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 + 0 + 1792 + 40960 = 42763

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.

42763 ÷ 2 = 21381 with 1 remainder
21381 ÷ 2 = 10690 with 1 remainder
10690 ÷ 2 = 5345 with 0 remainder
5345 ÷ 2 = 2672 with 1 remainder
2672 ÷ 2 = 1336 with 0 remainder
1336 ÷ 2 = 668 with 0 remainder
668 ÷ 2 = 334 with 0 remainder
334 ÷ 2 = 167 with 0 remainder
167 ÷ 2 = 83 with 1 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 A70B hexadecimal to binary:

A70B hexadecimal = 1010011100001011 binary

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