01-Feb-2023

# Converting Decimals to 8-Bit Binary: A Step-by-Step Guide

Let's start with a simple example. To convert the decimal number 187 to 8-bit binary, we need to break it down into its binary equivalent. To do this, we need to divide the number by 2 and keep track of the remainder for each step. This process is known as the “Divide by 2” method.

## Step 1: Divide the Decimal Number by 2

In the first step, we divide the decimal number 187 by 2. We will use whole numbers in this example. The result of the division is 93 with a remainder of 1.

## Step 2: Divide the Quotient by 2

In the second step, we divide the quotient (93) by 2. The result of the division is 46 with a remainder of 1.

## Step 3: Divide the Quotient by 2

In the third step, we divide the quotient (46) by 2. The result of the division is 23 with a remainder of 0.

## Step 4: Divide the Quotient by 2

In the fourth step, we divide the quotient (23) by 2. The result of the division is 11 with a remainder of 1.

## Step 5: Divide the Quotient by 2

In the fifth step, we divide the quotient (11) by 2. The result of the division is 5 with a remainder of 1.

## Step 6: Divide the Quotient by 2

In the sixth step, we divide the quotient (5) by 2. The result of the division is 2 with a remainder of 1.

## Step 7: Divide the Quotient by 2

In the seventh step, we divide the quotient (2) by 2. The result of the division is 1 with a remainder of 0.

## Step 8: Divide the Quotient by 2

In the eighth step, we divide the quotient (1) by 2. The result of the division is 0 with a remainder of 1.

## Step 9: Create the Binary Representation

Now that we have all the remainders, we can create the binary representation of the decimal number 187. The 8-bit binary representation of the decimal number 187 is 10111011.

To convert the following decimal number to 8-bit binary 187, we used the “Divide by 2” method to break down the number into its binary equivalent. The 8-bit binary representation of the decimal number 187 is 10111011.

Computer Science

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