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Convert 113 from decimal to binary.with explanation |
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Answer» ong>Answer: 1110001 Step-by-step explanation: 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 113 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 113 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 113 as a binary. |
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