# Signed binary number 1111 converted to an integer in base ten

• 22

1
• 21

1
• 20

1

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

 1111 = -7 Aug 25 05:24 UTC (GMT) 0000 0000 1000 1111 = 143 Aug 25 05:23 UTC (GMT) 1011 1101 = -61 Aug 25 05:23 UTC (GMT) 0100 0101 0101 0011 = 17,747 Aug 25 05:21 UTC (GMT) 1110 1110 0000 0000 = -28,160 Aug 25 05:19 UTC (GMT) 0100 1010 1111 0110 = 19,190 Aug 25 05:18 UTC (GMT) 0000 0010 1000 1110 = 654 Aug 25 05:17 UTC (GMT) 0000 0000 0000 0001 1111 1111 1011 1101 = 131,005 Aug 25 05:14 UTC (GMT) 0100 0000 1011 0110 1000 0000 0000 0000 = 1,085,702,144 Aug 25 05:12 UTC (GMT) 0000 0000 1000 0111 = 135 Aug 25 05:11 UTC (GMT) 0111 1110 1111 1010 = 32,506 Aug 25 05:09 UTC (GMT) 1000 0011 1100 1110 = -974 Aug 25 05:09 UTC (GMT) 0000 1100 1110 0101 = 3,301 Aug 25 05:08 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: