4B77 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4B77 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 4B77 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4B77 by 16⁰, multiply the second to last digit in 4B77 by 16¹, multiply the third to last digit in 4B77 by 16², multiply the fourth to last digit in 4B77 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
7 × 16¹ = 112
B × 16² = 2816
4 × 16³ = 16384

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:

7 + 112 + 2816 + 16384 = 19319

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.

19319 ÷ 2 = 9659 with 1 remainder
9659 ÷ 2 = 4829 with 1 remainder
4829 ÷ 2 = 2414 with 1 remainder
2414 ÷ 2 = 1207 with 0 remainder
1207 ÷ 2 = 603 with 1 remainder
603 ÷ 2 = 301 with 1 remainder
301 ÷ 2 = 150 with 1 remainder
150 ÷ 2 = 75 with 0 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4B77 hexadecimal to binary:

4B77 hexadecimal = 100101101110111 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

4B78 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.