Convert (76)10 into Binary.

The base-10 value of 76(10 )

is equal to base-2 value of 10011002.

Explanation:

Step 1) Divide 76 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 76 as a binary.

Here we will show our work so you can follow along:

76 / 2 = 38 with 0 remainder

38 / 2 = 19 with 0 remainder

19 / 2 = 9 with 1 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

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 76 converted to binary is therefore:

1001100

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