1111111111b = 1023d
When converting a binary number in which every digit is a one, there is an easy trick to doing it: take the number of digits, in this case 10, raise the base to that power 210 = 1024 , then subtract one. 210 - 1 = 1023.
If the reason for this isn't clear, it may be easier to think of it in decimal. Remember that 1 is the highest valued digit in binary. Similarly, 9 is the highest digit in decimal. So in decimal, the number 99999 can also be looked at as 105 - 1 = 100000 - 1 = 99999
Assuming you interpret the bits as an unsigned number, that would be 1111111111 in binary, or 1023 (210 - 1) in decimal.
The binary number 1111 = 15
The decimal number 101 is represented by the binary number 1100101.
The binary equivalent of the decimal number 245 is 11110101.
decimal [ 123 ] = binary [ | | | | 0 | | ]
The decimal equivalent of the binary number 1111111111111111 is 65535.
Assuming you interpret the bits as an unsigned number, that would be 1111111111 in binary, or 1023 (210 - 1) in decimal.
That is 31 in decimal
The binary number 1111 = 15
13
45
170
110001.01
10
15 = 1111
A flow chart for binary to decimal conversion would typically start with the binary number as input. Then, the flow chart would proceed to divide the binary number by increasing powers of 2, starting from the rightmost digit. The remainders obtained at each step would be used to construct the decimal equivalent of the binary number. Finally, the flow chart would output the decimal number as the result of the conversion process.
To convert the binary number 111 to decimal, you can use the positional notation method. The binary number 111 represents the sum of 2^2 + 2^1 + 2^0, which equals 4 + 2 + 1. Therefore, the decimal conversion of the binary number 111 is 7.