How do you convert 00111011 as decimal? - Answers

In a binary number (assuming that is indeed expressed as binary. Note that 00111011 is also a perfectly valid decimal number) each column represents a multiple of a power of two. It works exactly the same way that decimal does, except that decimal uses powers of ten. As a result, where in decimal you have a ones column, a tens column, a hundreds column, and so on - with binary you instead have a ones column, a twos column, a fours column, etc. The number you're asking to convert to decimal then, would be: 0 * 27 + 0 * 26 + 1 * 25 + 1 * 24 + 1 * 23 + 0 * 22 + 1 * 21 + 1 * 20 = 0 * 128 + 0 * 64 + 1 * 32 + 1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 * 1 = 0 + 0 + 32 + 16 + 8 + 0 + 2 + 1 = 32 + 16 + 8 + 2 + 1 = 59 So 00111011b (or simply 111011b) is equal to 59 in decimal.