507A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 507A 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 507A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 507A by 16⁰, multiply the second to last digit in 507A by 16¹, multiply the third to last digit in 507A by 16², multiply the fourth to last digit in 507A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
7 × 16¹ = 112
0 × 16² = 0
5 × 16³ = 20480

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:

10 + 112 + 0 + 20480 = 20602

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.

20602 ÷ 2 = 10301 with 0 remainder
10301 ÷ 2 = 5150 with 1 remainder
5150 ÷ 2 = 2575 with 0 remainder
2575 ÷ 2 = 1287 with 1 remainder
1287 ÷ 2 = 643 with 1 remainder
643 ÷ 2 = 321 with 1 remainder
321 ÷ 2 = 160 with 1 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 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 507A hexadecimal to binary:

507A hexadecimal = 101000001111010 binary

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507B hexadecimal to binary
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