# Signed binary number 0001 0001 converted to an integer in base ten

• 26

0
• 25

0
• 24

1
• 23

0
• 22

0
• 21

0
• 20

1

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

 0001 0001 = 17 Sep 18 07:56 UTC (GMT) 0001 1101 = 29 Sep 18 07:54 UTC (GMT) 1111 1111 1000 0000 = -32,640 Sep 18 07:54 UTC (GMT) 1111 1111 1111 1100 0010 1001 1011 1000 = -2,147,232,184 Sep 18 07:51 UTC (GMT) 0000 0011 1100 1011 = 971 Sep 18 07:51 UTC (GMT) 1111 1111 1111 0011 = -32,755 Sep 18 07:51 UTC (GMT) 0111 1111 1111 1111 = 32,767 Sep 18 07:51 UTC (GMT) 1111 1111 = -127 Sep 18 07:50 UTC (GMT) 1100 1010 0100 1100 0001 1000 0000 0000 = -1,246,500,864 Sep 18 07:48 UTC (GMT) 1101 1010 0010 0101 = -23,077 Sep 18 07:47 UTC (GMT) 0000 1010 0011 1110 = 2,622 Sep 18 07:47 UTC (GMT) 0100 0010 0101 0001 = 16,977 Sep 18 07:46 UTC (GMT) 1101 1001 0101 1101 1011 1101 0111 0100 = -1,499,315,572 Sep 18 07:46 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: