Just add a zero on the right-hand end of it. ============================== Another contributor bloviated: Just the same as multiplying a number in base ten by ten : just tack a 0 on the end, Binary 11 (decimal value 3) multiplied by decimal two is binary 11 times binary 10 which comes to binary 110. In any base, multiplying by the value of the base tacks a zero on the end, because the value of the base, written in that base, is always 10.
The binary number 101010 equals 42
A power of 2. In the decimal system, we use powers of 10, in the binary system, powers of 2. Other number system use some other number as their base; for example, hexadecimal (base-16) uses powers of 16.
Binary 1001111 is 79 in decimal.
(1 1 0 1)2 = (13)10
25 base 10
With the first number being 1 (not zero), the 25th number is 11001 (base 2). This is 16 + 8 + 1 = 25 (in base ten). Each place value in the binary system is double the value to the right of it.
Just add a zero on the right-hand end of it. ============================== Another contributor bloviated: Just the same as multiplying a number in base ten by ten : just tack a 0 on the end, Binary 11 (decimal value 3) multiplied by decimal two is binary 11 times binary 10 which comes to binary 110. In any base, multiplying by the value of the base tacks a zero on the end, because the value of the base, written in that base, is always 10.
The base two is binary. That's where bi- comes from.
The binary number 11111111 represents the number 255 in base 10.
Base 2
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 number 21 in binary is 10101
The binary number 101010 equals 42
The number 21 in binary is 10101
A power of 2. In the decimal system, we use powers of 10, in the binary system, powers of 2. Other number system use some other number as their base; for example, hexadecimal (base-16) uses powers of 16.
Binary 1001111 is 79 in decimal.