Signed binary number 0011 converted to an integer in base ten

• 22

0
• 21

1
• 20

1

Latest signed binary numbers converted to signed integers in decimal system (base ten)

 0011 = 3 Jun 26 11:49 UTC (GMT) 0000 0111 1011 0100 = 1,972 Jun 26 11:48 UTC (GMT) 0100 0000 0110 1000 = 16,488 Jun 26 11:47 UTC (GMT) 0000 0000 0000 0000 1010 0000 0000 0000 = 40,960 Jun 26 11:46 UTC (GMT) 0011 1111 1111 1111 0001 0000 1111 0001 = 1,073,680,625 Jun 26 11:46 UTC (GMT) 0110 0000 0000 0001 = 24,577 Jun 26 11:46 UTC (GMT) 1111 1111 1110 0100 = -32,740 Jun 26 11:46 UTC (GMT) 0000 0001 1110 1101 = 493 Jun 26 11:46 UTC (GMT) 01 = 1 Jun 26 11:46 UTC (GMT) 1010 0100 = -36 Jun 26 11:46 UTC (GMT) 0011 1100 = 60 Jun 26 11:45 UTC (GMT) 01 = 1 Jun 26 11:45 UTC (GMT) 0001 0000 = 16 Jun 26 11:45 UTC (GMT) All the converted signed binary numbers to integers in base ten

How to convert signed binary numbers from binary system to decimal (base ten)

To understand how to convert a signed binary number from binary system to decimal (base ten), the easiest way is to do it through an example - convert the binary number, 1001 1110, to base ten:

• In a signed binary, the first bit (leftmost) is reserved for the sign, 1 = negative, 0 = positive. This bit does not count when calculating the absolute value (value without sign). The first bit is 1, so our number is negative.
• Write bellow the binary number in base two, and above each bit that makes up the binary number write the corresponding power of 2 (numeral base) that its place value represents, starting with zero, from the right of the number (rightmost bit), walking to the left of the number and increasing each corresonding power of 2 by exactly one unit, but ignoring the very first bit (the leftmost, the one representing the sign):
•  powers of 2: 6 5 4 3 2 1 0 digits: 1 0 0 1 1 1 1 0
• Build the representation of the positive number in base 10, by taking each digit of the binary number, multiplying it by the corresponding power of 2 and then adding all the terms up, but also taking care of the number sign: