10101100 as a Decimal

Answer

10101100 in decimal can be written as 172.

Explanation

To convert 10101100 in binary to decimal, we will use the positional method. Each digit in the binary number represents a power of 2, starting from the rightmost digit, which is 2^0. Let's see the step-by-step breakdown of the process:

Step 1: Identify each bit's position, starting from the rightmost bit, which is the least significant bit (LSB).

Step 2: For each bit that is 1, calculate its value as 2 raised to the power of its position.

Step 3: Add all these values together to get the decimal equivalent. Here’s the breakdown for 10101100: - The rightmost bit is 0, representing 2^0 = 0.

 The next bit is 0, representing 2^1 = 0. The next bit is 1, representing 2^2 = 4.

The next bit is 1, representing 2^3 = 8. The next bit is 0, representing 2^4 = 0.

The next bit is 1, representing 2^5 = 32.

The next bit is 0, representing 2^6 = 0. The leftmost bit is 1, representing 2^7 = 128.

Adding these values gives: 128 + 0 + 32 + 0 + 8 + 4 + 0 + 0 = 172.

Therefore, the decimal equivalent of 10101100 is 172.

• Binary Number: A number expressed in the base-2 numeral system, using only the digits 0 and 1.

• Decimal Number: A number expressed in the base-10 numeral system, using digits from 0 to 9.

• Bit: The smallest unit of data in a computer, representing a single binary value of 0 or 1.

• Positional Value: The value of a digit in a number, determined by its position and the base of the number system.

• Power of Two: A value that is a result of raising 2 to an exponent, used in calculating binary to decimal conversion.