Question

Convert 291 and 111 into equivalent binary values.​

Answer 1

Answer:

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How to Convert 291 to Binary

Decimal to Binary

Here we will show you step-by-step how to convert the decimal number 291 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 291 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-by-step explanation:

Step 1) Divide 291 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 291 as a binary.

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

291 / 2 = 145 with 1 remainder

145 / 2 = 72 with 1 remainder

72 / 2 = 36 with 0 remainder

36 / 2 = 18 with 0 remainder

18 / 2 = 9 with 0 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 291 converted to binary is therefore:

100100011

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