How do you convert the binary number 00001111 to a decimal number?

Answer 1

To convert the binary number 00001111 to decimal, you assign each digit of the binary number a weight based on its position from right to left, starting with 2^0 for the rightmost digit. In this case, the binary number 00001111 translates to (0 * 2^7) + (0 * 2^6) + (0 * 2^5) + (0 * 2^4) + (1 * 2^3) + (1 * 2^2) + (1 * 2^1) + (1 * 2^0). Simplifying this expression gives you (0) + (0) + (0) + (0) + (8) + (4) + (2) + (1) = 15 in decimal.

Answer 2

This is the decimal value 15.

A binary number uses exponents of 2 rather than 10, and the 8 digits shown represent

128, 64, 32, 16, 8, 4, 2, and 1

00001111 (or just 1111) = 0+0+0+0+8+4+2+1 = 15

Add the values of each exponential where there is a 1 value.