# Signed binary number 1000 0110 converted to an integer in base ten

• 26

0
• 25

0
• 24

0
• 23

0
• 22

1
• 21

1
• 20

0

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

 1000 0110 = -6 Mar 26 22:15 UTC (GMT) 1111 1110 0000 1100 = -32,268 Mar 26 22:15 UTC (GMT) 1000 0000 0000 0000 0000 0000 0001 0100 = -20 Mar 26 22:14 UTC (GMT) 1010 0010 = -34 Mar 26 22:13 UTC (GMT) 0010 0010 1110 1001 = 8,937 Mar 26 22:10 UTC (GMT) 0000 1111 1111 0100 = 4,084 Mar 26 22:06 UTC (GMT) 1111 1111 1111 0010 = -32,754 Mar 26 22:05 UTC (GMT) 1111 1111 1110 1100 = -32,748 Mar 26 22:03 UTC (GMT) 0000 0010 1101 1100 = 732 Mar 26 21:59 UTC (GMT) 0000 0000 0000 0001 0001 1100 1110 0001 = 72,929 Mar 26 21:55 UTC (GMT) 0000 0001 1011 0100 = 436 Mar 26 21:51 UTC (GMT) 1001 1001 0001 0010 = -6,418 Mar 26 21:50 UTC (GMT) 0000 1001 = 9 Mar 26 21:49 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: