# Signed binary number 1001 1100 converted to an integer in base ten

• 26

0
• 25

0
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1
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1
• 22

1
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0

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

 1001 1100 = -28 Dec 05 17:41 UTC (GMT) 0000 0000 0000 0000 0000 0101 1001 1101 1101 0001 0111 1101 0110 1001 0010 1110 = 6,175,382,661,422 Dec 05 17:40 UTC (GMT) 1011 0001 1010 0000 0000 0000 0000 0000 = -832,569,344 Dec 05 17:40 UTC (GMT) 0000 1011 0100 1011 = 2,891 Dec 05 17:40 UTC (GMT) 1010 0101 = -37 Dec 05 17:39 UTC (GMT) 0000 1111 1001 0101 = 3,989 Dec 05 17:39 UTC (GMT) 1011 0000 1001 1111 = -12,447 Dec 05 17:39 UTC (GMT) 0011 1110 0010 0000 0000 0000 0000 0001 = 1,042,284,545 Dec 05 17:38 UTC (GMT) 0000 1001 1110 0011 = 2,531 Dec 05 17:38 UTC (GMT) 1101 0101 0011 1111 = -21,823 Dec 05 17:38 UTC (GMT) 0000 0000 0000 0000 0000 0000 1110 1000 1101 0100 1010 0101 0001 0000 0000 0000 = 1,000,000,000,000 Dec 05 17:37 UTC (GMT) 1001 0010 = -18 Dec 05 17:37 UTC (GMT) 0100 1001 1110 0111 1001 1110 0000 0011 = 1,239,916,035 Dec 05 17:35 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: