B315 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B315 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 B315 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B315 by 16⁰, multiply the second to last digit in B315 by 16¹, multiply the third to last digit in B315 by 16², multiply the fourth to last digit in B315 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
1 × 16¹ = 16
3 × 16² = 768
B × 16³ = 45056

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:

5 + 16 + 768 + 45056 = 45845

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.

45845 ÷ 2 = 22922 with 1 remainder
22922 ÷ 2 = 11461 with 0 remainder
11461 ÷ 2 = 5730 with 1 remainder
5730 ÷ 2 = 2865 with 0 remainder
2865 ÷ 2 = 1432 with 1 remainder
1432 ÷ 2 = 716 with 0 remainder
716 ÷ 2 = 358 with 0 remainder
358 ÷ 2 = 179 with 0 remainder
179 ÷ 2 = 89 with 1 remainder
89 ÷ 2 = 44 with 1 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 B315 hexadecimal to binary:

B315 hexadecimal = 1011001100010101 binary

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B316 hexadecimal to binary
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