The binary number 00110110 is the decimal number?

Answer 1

The first digit is worth 20 (or 1), the second 21 (or 2), the third 22 (or 4), the fourth 23 (or 8), the fifth 24 (or 16), the sixth 25 (or 32) and so on. 001100 is thus 0x1 + 0x2 + 1x4 + 1x8 + 0x16 + 0x32 = 4 + 8 = 12

Answer 2

There are no need to place 0s at the start of a binary nuimber as they have no value. So, the number 110110 would be the equivalent of 54.

See the related link, 'Binary Numbers' below this answer.

Answer 3

Converting binary (base 2) numbers to decimal is fairly straightforward, requiring only a series of addition operations.

Keep in mind, first, the value of each digit. Remember the Powers Of Ten? In a base 10 (decimal) number, the value of each digit starts low at the right, and increases as you move to each left digit: ones, tens, hundreds, thousands, and so forth.

Binary numbers work the same way. However, instead of multiplying by 10 (the base or "radix"), they multiply by two: ones, twos, fours, eights, sixteens, and so forth.

An 8-bit binary digit's places are assigned the following decimal values:

(128) (64) (32) (16) (8) (4) (2) (1)

1100 binary would be:

( 0*128) (0*64) (0*32) (0*16) (1*8) (1*4) (0*2) (0*1)

Thus it's a matter of adding up the places that have "1". So 8 plus 4 is 12.

Hence, 1100 binary is 12 decimal.

This works with any binary number.

Answer 4

12