# Signed binary one's complement number 1001 0010 converted to decimal system (base ten) signed integer

• 27

0
• 26

1
• 25

1
• 24

0
• 23

1
• 22

1
• 21

0
• 20

1

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

 1001 0010 = -109 May 24 15:11 UTC (GMT) 0000 0000 1010 1100 = 172 May 24 15:10 UTC (GMT) 0001 1011 = 27 May 24 15:08 UTC (GMT) 1000 1111 = -112 May 24 15:08 UTC (GMT) 1010 1111 = -80 May 24 15:06 UTC (GMT) 1010 1001 0011 0010 0001 0111 1111 0001 1100 1001 1011 0101 1001 0100 0001 0111 = -6,254,910,605,225,520,104 May 24 15:06 UTC (GMT) 0000 1110 1010 1001 = 3,753 May 24 15:03 UTC (GMT) 0000 0001 0000 0010 = 258 May 24 15:02 UTC (GMT) 1001 0111 = -104 May 24 15:01 UTC (GMT) 0000 1000 0101 0101 0111 1001 1111 0001 1001 1010 1000 0000 0010 1101 1000 0001 = 600,520,203,910,000,001 May 24 14:58 UTC (GMT) 1001 0010 0101 0101 1010 1001 0100 0100 = -1,839,879,867 May 24 14:54 UTC (GMT) 0000 0001 1000 1000 = 392 May 24 14:54 UTC (GMT) 1011 = -4 May 24 14:53 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: