Signed binary number 1101 0101 converted to an integer in base ten

• 26

1
• 25

0
• 24

1
• 23

0
• 22

1
• 21

0
• 20

1

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

 1101 0101 = -85 Jul 17 22:33 UTC (GMT) 0000 1011 1110 0111 1000 0000 0000 0000 = 199,720,960 Jul 17 22:33 UTC (GMT) 1000 0001 1110 1100 = -492 Jul 17 22:33 UTC (GMT) 1011 1111 1111 1111 1111 1111 1111 1111 = -1,073,741,823 Jul 17 22:33 UTC (GMT) 1000 0000 0000 0000 0000 0000 0000 0000 = -0 Jul 17 22:32 UTC (GMT) 1000 1111 1100 0101 = -4,037 Jul 17 22:32 UTC (GMT) 0000 0000 0000 0010 1010 1010 0001 1101 = 174,621 Jul 17 22:28 UTC (GMT) 0000 0010 1001 1100 = 668 Jul 17 22:27 UTC (GMT) 0000 0101 0001 0010 = 1,298 Jul 17 22:27 UTC (GMT) 1111 0101 = -117 Jul 17 22:25 UTC (GMT) 1000 0000 1010 1100 = -172 Jul 17 22:24 UTC (GMT) 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 0110 = -9,223,372,036,854,775,798 Jul 17 22:24 UTC (GMT) 1111 1111 1111 1111 1111 1111 1111 1111 1010 1111 1011 1111 0000 0000 0000 0100 = -9,223,372,035,508,338,692 Jul 17 22:24 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: