
Here we will show you how to convert the hexadecimal number 771 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 771 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 771 by 16⁰, multiply the second to last digit in 771 by 16¹, multiply the third to last digit in 771 by 16², multiply the fourth to last digit in 771 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
7 × 16¹ = 112
7 × 16² = 1792
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:
1 + 112 + 1792 = 1905
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.
1905 ÷ 2 = 952 with 1 remainder
952 ÷ 2 = 476 with 0 remainder
476 ÷ 2 = 238 with 0 remainder
238 ÷ 2 = 119 with 0 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 771 hexadecimal to binary:
771 hexadecimal = 11101110001 binary
Hexadecimal to Binary Converter
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