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Binary to Decimal Conversion in Detail
Binary to Decimal Conversion: To convert a binary number to decimal, divide the number by 2 and keep track of the remainders. The remainders will be the decimal value of the binary number.
For example, to convert the binary number 1010 to decimal, divide 10 by 2 and keep track of the remainders. The remainders are 1 and 0, so the decimal value of 1010 is 10.
Decimal Number
A decimal number is a number that is written using the base-10 numeral system. In the base-10 system, the number 10 is used as a base to represent all other numbers. The number 1 is written as 10^0, the number 2 is written as 10^1, the number 3 is written as 10^2, and so on. The number 9 is written as 10^3, the number 10 is written as 10^4, and so on. In the decimal number system, every number is represented by a combination of these base-10 digits.
How to Convert Binary Number to Decimal Number?
In mathematics and computer science, a binary number is a number expressed in the base-2 numeral system. It consists of a string of bits, or binary digits, each of which is either 0 or 1. The total number of bits in a binary number is always a power of 2, that is, 2, 4, 8, 16, 32, 64, 128, 256, etc.
To convert a binary number to a decimal number, we start by dividing the number of bits by 2. This gives us the number of digits in the number. We then multiply this number by the value of the digit in the decimal number system. For example, the binary number 1010 (base-2) has 10 digits (bits). Dividing this by 2 gives us 5, so we multiply 5 by 10 to get the decimal value of 50.
The binary number 1101 (base-2) has 11 digits (bits). Dividing this by 2 gives us 5.5, so we multiply 5.5 by 10 to get 55.
The binary number 11110000 (base-2) has 16 digits (bits). Dividing this by 2 gives us 8, so we multiply 8 by 10 to get 80.
