# Signed Binary Number 0010 1110 1001 1101 Converted and Written as a Decimal System Integer Number (in Base Ten). All the Steps Explained in Detail

• 214

0
• 213

1
• 212

0
• 211

1
• 210

1
• 29

1
• 28

0
• 27

1
• 26

0
• 25

0
• 24

1
• 23

1
• 22

1
• 21

0
• 20

1

## The latest signed binary numbers converted and written as signed integers in decimal system (in base ten)

 Convert the signed binary number 0010 1110 1001 1101, write it as a decimal system integer number (written in base ten) Sep 28 01:14 UTC (GMT) Convert the signed binary number 0100 0000 1110 0000, write it as a decimal system integer number (written in base ten) Sep 28 01:14 UTC (GMT) Convert the signed binary number 1001 0011, write it as a decimal system integer number (written in base ten) Sep 28 01:14 UTC (GMT) Convert the signed binary number 0000 0000 0010 0000 0001 1110 1010 0100, write it as a decimal system integer number (written in base ten) Sep 28 01:14 UTC (GMT) Convert the signed binary number 1000 0000 0101 0100 0010 0011 0001 1100, write it as a decimal system integer number (written in base ten) Sep 28 01:13 UTC (GMT) Convert the signed binary number 1111 1001 1011 1111 0000 1100 1000 1000, write it as a decimal system integer number (written in base ten) Sep 28 01:13 UTC (GMT) Convert the signed binary number 1011 0101 0000 1001 1001 1001 1010 0011, write it as a decimal system integer number (written in base ten) Sep 28 01:13 UTC (GMT) Convert the signed binary number 1101 1111 1001 0000 0000 0000 0001 0100, write it as a decimal system integer number (written in base ten) Sep 28 01:13 UTC (GMT) Convert the signed binary number 0100 0001 1101 1011, write it as a decimal system integer number (written in base ten) Sep 28 01:13 UTC (GMT) Convert the signed binary number 0100 1101 1010 0101, write it as a decimal system integer number (written in base ten) Sep 28 01:13 UTC (GMT) All the signed binary numbers converted to integers in decimal system (written 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: