How to convert binary to decimal & hexadecimal to decimal

What is the binary system?

A numeral system that uses two symbols, typically 0 and 1.

How is the decimal system defined?

A numeral system based on ten symbols (0-9), commonly used in everyday counting.

What is the formula to convert binary to decimal?

Multiply each bit by 2 raised to the position power, starting from zero on the right.

Convert binary '1011' to decimal.

The decimal equivalent is 11 (1*2^3 + 0*2^2 + 1*2^1 + 1*2^0).

How do you convert hexadecimal to decimal?

Multiply each digit by 16 raised to the position power, starting from zero on the right.

What is the hexadecimal system?

A base-16 numeral system using 16 symbols: 0-9 for values zero to nine and A-F for values ten to fifteen.

Convert hexadecimal 'A3' to decimal.

The decimal equivalent is 163 (A*16^1 + 3*16^0 = 10*16 + 3).

What place value does the leftmost bit hold in binary?

The leftmost bit holds the highest place value, which is determined by the length of the binary number.

What is the significance of the digit 'F' in hexadecimal?

In hexadecimal, 'F' represents the decimal number 15.

How do you validate the conversion of binary or hexadecimal to decimal?

By converting back from decimal to the original base and checking if the numbers match.