7B7D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7B7D 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 7B7D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7B7D by 16⁰, multiply the second to last digit in 7B7D by 16¹, multiply the third to last digit in 7B7D by 16², multiply the fourth to last digit in 7B7D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
7 × 16¹ = 112
B × 16² = 2816
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:

13 + 112 + 2816 + 28672 = 31613

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.

31613 ÷ 2 = 15806 with 1 remainder
15806 ÷ 2 = 7903 with 0 remainder
7903 ÷ 2 = 3951 with 1 remainder
3951 ÷ 2 = 1975 with 1 remainder
1975 ÷ 2 = 987 with 1 remainder
987 ÷ 2 = 493 with 1 remainder
493 ÷ 2 = 246 with 1 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 7B7D hexadecimal to binary:

7B7D hexadecimal = 111101101111101 binary

Hexadecimal to Binary Converter
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7B7E hexadecimal to binary
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