Question

The binary equivalent of the decimal number 232 is 11101000.
A. True
B. False

Answer 1

The binary equivalent of the decimal number 232 is 11101000. The statement is true.

Step-by-step explanation:

The binary equivalent of the decimal number 232 is 11101000.

To convert a decimal number to binary, you can use the division-by-2 method. Here's how

1. Divide the decimal number by 2.
2. Write down the remainder (0 or 1).
3. Continue dividing the quotient by 2 and writing down the remainders until the quotient becomes 0.
4. Write out the remainders in reverse order to get the binary equivalent.

For example, to convert decimal 232 to binary:

1. 232 ÷ 2 = 116 with a remainder of 0.
2. 116 ÷ 2 = 58 with a remainder of 0.
3. 58 ÷ 2 = 29 with a remainder of 0.
4. 29 ÷ 2 = 14 with a remainder of 1.
5. 14 ÷ 2 = 7 with a remainder of 0.
6. 7 ÷ 2 = 3 with a remainder of 1.
7. 3 ÷ 2 = 1 with a remainder of 1.
8. 1 ÷ 2 = 0 with a remainder of 1.

Writing the remainders in reverse order gives us the binary equivalent: 11101000.

So, the statement is True.