# Signed binary number 1010 1101 converted to an integer in base ten

• 26

0
• 25

1
• 24

0
• 23

1
• 22

1
• 21

0
• 20

1

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

 1010 1101 = -45 Feb 27 23:08 UTC (GMT) 1000 0000 0100 0001 = -65 Feb 27 23:08 UTC (GMT) 0000 0000 0110 1000 0111 0010 1011 0000 = 6,845,104 Feb 27 23:08 UTC (GMT) 1000 1010 = -10 Feb 27 23:06 UTC (GMT) 0000 0010 0000 0000 0000 0000 0000 0000 = 33,554,432 Feb 27 23:05 UTC (GMT) 0000 1110 = 14 Feb 27 23:04 UTC (GMT) 0000 0000 1111 1111 1111 0101 0101 0011 = 16,774,483 Feb 27 23:04 UTC (GMT) 0111 0110 1000 0000 1101 0010 0100 1011 = 1,988,153,931 Feb 27 22:57 UTC (GMT) 0000 0000 1011 1010 = 186 Feb 27 22:27 UTC (GMT) 0100 0001 1110 1101 0101 0100 0111 0101 0101 0001 0101 0101 0101 0010 1010 1010 = 4,750,546,044,798,194,346 Feb 27 22:26 UTC (GMT) 1110 0111 0000 0001 = -26,369 Feb 27 22:26 UTC (GMT) 1110 1010 = -106 Feb 27 22:25 UTC (GMT) 0000 0000 1111 1000 0000 0000 0000 0000 = 16,252,928 Feb 27 22:24 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: