# Signed binary number 0101 0101 1010 0010 converted to an integer in base ten

• 214

1
• 213

0
• 212

1
• 211

0
• 210

1
• 29

0
• 28

1
• 27

1
• 26

0
• 25

1
• 24

0
• 23

0
• 22

0
• 21

1
• 20

0

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

 0101 0101 1010 0010 = 21,922 Jul 19 17:24 UTC (GMT) 0001 1110 1101 1001 = 7,897 Jul 19 17:24 UTC (GMT) 1110 1111 = -111 Jul 19 17:24 UTC (GMT) 0000 0000 0000 0000 0000 0000 1110 1000 1101 0100 1010 0101 0001 0000 0000 0000 = 1,000,000,000,000 Jul 19 17:23 UTC (GMT) 1001 0110 = -22 Jul 19 17:23 UTC (GMT) 1100 0000 = -64 Jul 19 17:21 UTC (GMT) 1100 0111 = -71 Jul 19 17:20 UTC (GMT) 0010 1101 1100 1000 = 11,720 Jul 19 17:20 UTC (GMT) 0100 0000 = 64 Jul 19 17:19 UTC (GMT) 0000 0000 1001 1011 1001 1101 1001 1101 1001 0000 1000 1111 1001 1011 1000 1101 = 43,801,921,450,908,557 Jul 19 17:17 UTC (GMT) 0000 1110 1010 1010 = 3,754 Jul 19 17:15 UTC (GMT) 1100 0101 0000 0000 0100 1111 0101 0000 = -1,157,648,208 Jul 19 17:12 UTC (GMT) 1000 1010 0101 1101 = -2,653 Jul 19 17:11 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: