Answer:
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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