1500 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1500 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 1500 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1500 by 16⁰, multiply the second to last digit in 1500 by 16¹, multiply the third to last digit in 1500 by 16², multiply the fourth to last digit in 1500 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
0 × 16¹ = 0
5 × 16² = 1280
1 × 16³ = 4096

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 + 0 + 1280 + 4096 = 5376

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.

5376 ÷ 2 = 2688 with 0 remainder
2688 ÷ 2 = 1344 with 0 remainder
1344 ÷ 2 = 672 with 0 remainder
672 ÷ 2 = 336 with 0 remainder
336 ÷ 2 = 168 with 0 remainder
168 ÷ 2 = 84 with 0 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 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 1500 hexadecimal to binary:

1500 hexadecimal = 1010100000000 binary

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1501 hexadecimal to binary
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