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

• 22

1
• 21

0
• 20

1

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

 1101 = -5 Apr 04 17:22 UTC (GMT) 0000 1000 1110 1011 = 2,283 Apr 04 17:22 UTC (GMT) 1011 0001 = -49 Apr 04 17:21 UTC (GMT) 0000 1010 = 10 Apr 04 17:21 UTC (GMT) 0000 0000 0000 0000 0000 0001 0110 0001 1101 0101 0111 0010 0111 1010 1010 1000 = 1,519,704,505,000 Apr 04 17:21 UTC (GMT) 0000 0000 0000 1010 0100 1000 1010 1010 = 673,962 Apr 04 17:20 UTC (GMT) 0000 0000 0000 0000 0000 0000 0000 1111 1111 1111 1111 1111 1111 1110 1010 0000 = 68,719,476,384 Apr 04 17:19 UTC (GMT) 0110 0011 = 99 Apr 04 17:19 UTC (GMT) 0000 0000 1001 0111 = 151 Apr 04 17:17 UTC (GMT) 0000 0000 0000 0100 1101 1101 1111 1001 = 318,969 Apr 04 17:17 UTC (GMT) 1100 0010 0000 0010 0000 0000 0000 0000 = -1,107,427,328 Apr 04 17:16 UTC (GMT) 1011 1101 0010 1010 = -15,658 Apr 04 17:15 UTC (GMT) 1001 0010 0000 0000 0000 0000 0000 1111 = -301,989,903 Apr 04 17:15 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: