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Convert binary to decimal a) 10110110
Answers
Answer:
128 + 0 + 32 + 16 + 0 + 4 + 2 + 0 = 182. This is the decimal equivalent of the binary number 10110110.
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Answer:
DirectoryDecimal
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How to Convert 101 to Binary
Decimal to Binary
Here we will show you step-by-step how to convert the decimal number 101 to binary.
First, note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and binary numbers use only 2 digits (0 and 1).
As we explain the steps to converting 101 to binary, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the Dividend, B is the Divisor and C is the Quotient.
The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.
Step 1) Divide 101 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 101 as a binary.
Here we will show our work so you can follow along:
101 / 2 = 50 with 1 remainder
50 / 2 = 25 with 0 remainder
25 / 2 = 12 with 1 remainder
12 / 2 = 6 with 0 remainder
6 / 2 = 3 with 0 remainder
3 / 2 = 1 with 1 remainder
1 / 2 = 0 with 1 remainder
Then, when we put the remainders together in reverse order, we get the answer. The decimal number 101 converted to binary is therefore:
1100101
just change the digit