
Here we will show you how to convert the hexadecimal number A7D 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 A7D from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in A7D by 16⁰, multiply the second to last digit in A7D by 16¹, multiply the third to last digit in A7D by 16², multiply the fourth to last digit in A7D by 16³, and so on, until all the digits are used.
D × 16⁰ = 13
7 × 16¹ = 112
A × 16² = 2560
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 + 2560 = 2685
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.
2685 ÷ 2 = 1342 with 1 remainder
1342 ÷ 2 = 671 with 0 remainder
671 ÷ 2 = 335 with 1 remainder
335 ÷ 2 = 167 with 1 remainder
167 ÷ 2 = 83 with 1 remainder
83 ÷ 2 = 41 with 1 remainder
41 ÷ 2 = 20 with 1 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 A7D hexadecimal to binary:
A7D hexadecimal = 101001111101 binary
Hexadecimal to Binary Converter
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A7E hexadecimal to binary
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