# 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)

 0000 1110 0010 0001 = 3,617 Dec 03 00:36 UTC (GMT) 1100 1101 = -50 Dec 03 00:35 UTC (GMT) 1111 0000 0000 0111 = -4,088 Dec 03 00:33 UTC (GMT) 1111 1001 = -6 Dec 03 00:32 UTC (GMT) 1111 1001 = -6 Dec 03 00:31 UTC (GMT) 0000 0000 0000 0000 0000 0000 0101 1111 1110 0010 1010 0101 0010 1001 0110 1000 = 411,824,367,976 Dec 03 00:31 UTC (GMT) 0000 0001 0111 1111 = 383 Dec 03 00:30 UTC (GMT) 0000 0000 1000 0010 1101 1100 1110 0110 1110 1110 1100 1010 1110 0100 0011 1101 = 36,834,631,379,248,189 Dec 03 00:29 UTC (GMT) 0000 1010 1011 0100 = 2,740 Dec 03 00:29 UTC (GMT) 1011 1010 0001 1111 1001 0000 0010 1001 0011 0100 1011 0011 1011 0100 0100 0001 = -5,035,147,351,724,673,982 Dec 03 00:28 UTC (GMT) 1100 1100 1100 1100 1100 1100 1110 1010 = -858,993,429 Dec 03 00:27 UTC (GMT) 0111 0000 = 112 Dec 03 00:24 UTC (GMT) 1100 0010 0111 0010 1111 1111 1111 1110 = -1,032,650,753 Dec 03 00:23 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: