# Converter of signed binary one's complement: converting to decimal system (base ten) integer numbers

## Latest binary numbers in one's complement representation converted to signed integers numbers in decimal system (base ten)

 1111 1000 = -7 Nov 19 07:36 UTC (GMT) 1111 1111 1111 0110 = -9 Nov 19 07:35 UTC (GMT) 0000 0010 1100 0001 = 705 Nov 19 07:32 UTC (GMT) 0000 0010 1011 0011 = 691 Nov 19 07:28 UTC (GMT) 1010 0111 = -88 Nov 19 07:27 UTC (GMT) 1001 0000 = -111 Nov 19 07:27 UTC (GMT) 1111 0100 = -11 Nov 19 07:25 UTC (GMT) 1111 0001 = -14 Nov 19 07:23 UTC (GMT) 0000 0000 0100 0010 1111 1100 1111 1111 0110 0001 1001 0111 0010 0100 1101 0100 = 18,855,522,247,058,644 Nov 19 07:18 UTC (GMT) 0111 1111 1010 0011 1100 0000 0011 0110 1010 1111 0100 0110 1101 1111 1111 1000 = 9,197,406,205,122,109,432 Nov 19 07:15 UTC (GMT) 1111 1110 = -1 Nov 19 07:14 UTC (GMT) 0000 0001 = 1 Nov 19 07:13 UTC (GMT) 1111 1111 = -0 Nov 19 07:12 UTC (GMT) All the converted signed binary one's complement numbers

## How to convert signed binary numbers in one's complement representation from binary system to decimal

### To understand how to convert a signed binary number in one's complement representation from binary system to decimal (base ten), the easiest way is to do it through an example - convert binary, 1001 1101, to base ten:

• In a signed binary one's complement, first bit (leftmost) indicates the sign, 1 = negative, 0 = positive. The first bit is 1, so our number is negative.
• Get the binary representation of the positive number, flip all the bits in the signed binary one's complement representation (reversing the digits) - replace the bits set on 1 with 0s and the bits on 0 with 1s:
!(1001 1101) = 0110 0010
• Write bellow the positive binary number representation 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 by increasing each corresonding power of 2 by exactly one unit:
•  powers of 2: 7 6 5 4 3 2 1 0 digits: 0 1 1 0 0 0 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: