# Convert -19 407 144 150 to a signed binary in two's complement representation, from a signed integer number in base 10 decimal system

## -19 407 144 150(10) to a signed binary two's complement representation = ?

### 2. Divide the number repeatedly by 2:

#### We stop when we get a quotient that is equal to zero.

• division = quotient + remainder;
• 19 407 144 150 ÷ 2 = 9 703 572 075 + 0;
• 9 703 572 075 ÷ 2 = 4 851 786 037 + 1;
• 4 851 786 037 ÷ 2 = 2 425 893 018 + 1;
• 2 425 893 018 ÷ 2 = 1 212 946 509 + 0;
• 1 212 946 509 ÷ 2 = 606 473 254 + 1;
• 606 473 254 ÷ 2 = 303 236 627 + 0;
• 303 236 627 ÷ 2 = 151 618 313 + 1;
• 151 618 313 ÷ 2 = 75 809 156 + 1;
• 75 809 156 ÷ 2 = 37 904 578 + 0;
• 37 904 578 ÷ 2 = 18 952 289 + 0;
• 18 952 289 ÷ 2 = 9 476 144 + 1;
• 9 476 144 ÷ 2 = 4 738 072 + 0;
• 4 738 072 ÷ 2 = 2 369 036 + 0;
• 2 369 036 ÷ 2 = 1 184 518 + 0;
• 1 184 518 ÷ 2 = 592 259 + 0;
• 592 259 ÷ 2 = 296 129 + 1;
• 296 129 ÷ 2 = 148 064 + 1;
• 148 064 ÷ 2 = 74 032 + 0;
• 74 032 ÷ 2 = 37 016 + 0;
• 37 016 ÷ 2 = 18 508 + 0;
• 18 508 ÷ 2 = 9 254 + 0;
• 9 254 ÷ 2 = 4 627 + 0;
• 4 627 ÷ 2 = 2 313 + 1;
• 2 313 ÷ 2 = 1 156 + 1;
• 1 156 ÷ 2 = 578 + 0;
• 578 ÷ 2 = 289 + 0;
• 289 ÷ 2 = 144 + 1;
• 144 ÷ 2 = 72 + 0;
• 72 ÷ 2 = 36 + 0;
• 36 ÷ 2 = 18 + 0;
• 18 ÷ 2 = 9 + 0;
• 9 ÷ 2 = 4 + 1;
• 4 ÷ 2 = 2 + 0;
• 2 ÷ 2 = 1 + 0;
• 1 ÷ 2 = 0 + 1;

## Latest signed integers converted from decimal system to binary two's complement representation

 -19,407,144,150 to signed binary two's complement = ? May 06 19:06 UTC (GMT) -119,999,999,995 to signed binary two's complement = ? May 06 19:06 UTC (GMT) -52 to signed binary two's complement = ? May 06 19:06 UTC (GMT) 1,011,000,000,001,019 to signed binary two's complement = ? May 06 19:05 UTC (GMT) -4,215 to signed binary two's complement = ? May 06 19:05 UTC (GMT) 22,732 to signed binary two's complement = ? May 06 19:05 UTC (GMT) 2,147,283,691 to signed binary two's complement = ? May 06 19:05 UTC (GMT) -13,876 to signed binary two's complement = ? May 06 19:04 UTC (GMT) 1,190,112,520,884,487,206 to signed binary two's complement = ? May 06 19:04 UTC (GMT) 1,050,670 to signed binary two's complement = ? May 06 19:04 UTC (GMT) 1,722 to signed binary two's complement = ? May 06 19:04 UTC (GMT) 1,100,000,110,010,015 to signed binary two's complement = ? May 06 19:04 UTC (GMT) -503 to signed binary two's complement = ? May 06 19:04 UTC (GMT) All decimal integer numbers converted to signed binary two's complement representation

## How to convert signed integers from decimal system to signed binary in two's complement representation

### Follow the steps below to convert a signed base 10 integer number to signed binary in two's complement representation:

• 1. If the number to be converted is negative, start with the positive version of the number.
• 2. Divide repeatedly by 2 the positive representation of the integer number, keeping track of each remainder, until we get a quotient that is zero.
• 3. Construct the base 2 representation of the positive number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).
• 4. Binary numbers represented in computer language must have 4, 8, 16, 32, 64, ... bit length (a power of 2) - if needed, add extra bits on 0 in front (to the left) of the base 2 number above, up to the required length, so that the first bit (the leftmost) will be 0, correctly representing a positive number.
• 5. To get the negative integer number representation in signed binary one's complement, replace all 0 bits with 1s and all 1 bits with 0s (reversing the digits).
• 6. To get the negative integer number, in signed binary two's complement representation, add 1 to the number above.

### Example: convert the negative number -60 from the decimal system (base ten) to signed binary in two's complement:

• 1. Start with the positive version of the number: |-60| = 60
• 2. Divide repeatedly 60 by 2, keeping track of each remainder:
• division = quotient + remainder
• 60 ÷ 2 = 30 + 0
• 30 ÷ 2 = 15 + 0
• 15 ÷ 2 = 7 + 1
• 7 ÷ 2 = 3 + 1
• 3 ÷ 2 = 1 + 1
• 1 ÷ 2 = 0 + 1
• 3. Construct the base 2 representation of the positive number, by taking all the remainders starting from the bottom of the list constructed above:
60(10) = 11 1100(2)
• 4. Bit length of base 2 representation number is 6, so the positive binary computer representation of a signed binary will take in this particular case 8 bits (the least power of 2 larger than 6) - add extra 0 digits in front of the base 2 number, up to the required length:
60(10) = 0011 1100(2)
• 5. To get the negative integer number representation in signed binary one's complement, replace all the 0 bits with 1s and all 1 bits with 0s (reversing the digits):
!(0011 1100) = 1100 0011
• 6. To get the negative integer number, signed binary in two's complement representation, add 1 to the number above:
-60(10) = 1100 0011 + 1 = 1100 0100