1100
110110 that's 32+16+0+4+2+0
110 in decimal = 1101110 in binary (base 2). Interesting that the decimal value 110 is read in there twice! If you actuall meant the question "What is 110 in binary equivalent to in decimal?" then the answer is 4+2=6.
To subtract in base 2, we need to borrow from the next higher place value if necessary. In this case, when subtracting 11 from 101 in base 2, we need to borrow from the leftmost digit. So, 101 in base 2 is 5 in decimal, and 11 in base 2 is 3 in decimal. When subtracting 3 from 5 in decimal, we get 2 in decimal, which is 10 in base 2. Therefore, 101 base 2 minus 11 base 2 is 10 base 2.
11000 in base 2 is 24 in decimal. 110 in base 2 is 6 in decimal. 24 - 6 is 18. In base 2 18 is 10010.
1100
110110 that's 32+16+0+4+2+0
Each digit from the right denotes a power of 2, beginning with 20. So, the number indicated, 110110, is 25 + 24 + 22 + 21, or 54. This is just like our normal base 10 system, where the first digit is 100, then the "tens" digit is 101, and etc.
110 in decimal = 1101110 in binary (base 2). Interesting that the decimal value 110 is read in there twice! If you actuall meant the question "What is 110 in binary equivalent to in decimal?" then the answer is 4+2=6.
1001 0111 base 2
The answer depends on the value of W.
11000 in base 2 is 24 in decimal. 110 in base 2 is 6 in decimal. 24 - 6 is 18. In base 2 18 is 10010.
This is done in the same manner of converting a number in any non-decimal base (not base 10) to a decimal (base 10) number: In each base system, the place value columns are the base times bigger than the column to its right. The column before the base-point is the units or ones column. The next column left is the 1 × base = base column, the next column left is the base × base = base² column and so on. To convert the number, sum each each digit of the base multiplied by its place value column. For base 2, the place value columns (left from just left of the binary-point) are 1, 2, 2² = 4, 2³ = 8, 16, 32, ... As a binary number only has 1s and 0s, converting a binary number to decimal is simply adding together the value of the place value columns that have a 1. eg 101101₂ = 32 × 1 + 16 × 0 + 8 × 1 + 4 × 1 + 2 × 0 + 1 × 1 = 32 + 8 + 4 + 1 = 45
The decimal system we normally use is base 10. That means that each position has 10 times the place-value of the digit to the right of it.Binary is base 2. Hexadecimal is base 16.
10 base 2 = 2 base 10
Generally, 2 + 2 = 4. In base 4, 2 + 2 = 10 (base 4) In base 3, 2 + 2 = 11 (base 3). Note that these expressions are the same as the decimal expression above. A math joke has formed around the value of 2 + 2 in that 2 + 2 = fish because a backwards 2 and a 2 put together form a simple fish drawing.
To subtract in base 2, we need to borrow from the next higher place value if necessary. In this case, when subtracting 11 from 101 in base 2, we need to borrow from the leftmost digit. So, 101 in base 2 is 5 in decimal, and 11 in base 2 is 3 in decimal. When subtracting 3 from 5 in decimal, we get 2 in decimal, which is 10 in base 2. Therefore, 101 base 2 minus 11 base 2 is 10 base 2.