695D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 695D 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 695D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 695D by 16⁰, multiply the second to last digit in 695D by 16¹, multiply the third to last digit in 695D by 16², multiply the fourth to last digit in 695D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
5 × 16¹ = 80
9 × 16² = 2304
6 × 16³ = 24576

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 + 80 + 2304 + 24576 = 26973

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.

26973 ÷ 2 = 13486 with 1 remainder
13486 ÷ 2 = 6743 with 0 remainder
6743 ÷ 2 = 3371 with 1 remainder
3371 ÷ 2 = 1685 with 1 remainder
1685 ÷ 2 = 842 with 1 remainder
842 ÷ 2 = 421 with 0 remainder
421 ÷ 2 = 210 with 1 remainder
210 ÷ 2 = 105 with 0 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 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 695D hexadecimal to binary:

695D hexadecimal = 110100101011101 binary

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

695E hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.