Signed binary number 0000 1100 0000 0100 converted to an integer in base ten

• 214

0
• 213

0
• 212

0
• 211

1
• 210

1
• 29

0
• 28

0
• 27

0
• 26

0
• 25

0
• 24

0
• 23

0
• 22

1
• 21

0
• 20

0

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

 0000 1100 0000 0100 = 3,076 May 24 14:50 UTC (GMT) 0000 0001 0111 0010 = 370 May 24 14:50 UTC (GMT) 1011 1111 1111 0000 0000 0000 0000 0000 = -1,072,693,248 May 24 14:50 UTC (GMT) 0000 1001 1001 0111 = 2,455 May 24 14:50 UTC (GMT) 0100 0000 0010 1000 1100 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 = 4,623,156,123,728,347,136 May 24 14:50 UTC (GMT) 0110 0000 = 96 May 24 14:50 UTC (GMT) 1111 1001 1001 1011 = -31,131 May 24 14:49 UTC (GMT) 0100 0101 0000 1101 = 17,677 May 24 14:46 UTC (GMT) 0011 1111 0101 1110 1110 1110 0110 1000 = 1,063,186,024 May 24 14:45 UTC (GMT) 0000 0000 1010 1011 = 171 May 24 14:44 UTC (GMT) 0010 0110 0111 0100 = 9,844 May 24 14:43 UTC (GMT) 1111 1111 1111 1111 1111 1111 0000 0000 = -2,147,483,392 May 24 14:43 UTC (GMT) 0000 1010 0110 1110 = 2,670 May 24 14:42 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: