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# Why do computers use the binary number system(0,1)?why don't they use ternary number system(0,1,2) or any other number system instead?

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Either something is on or off there is no such thing as kind of on or kind of off. Off represents 0 and on represents 1. By combining offs and ons a number can be generated. Humans typically utilize the decimal system 1-10 while the computing world typically use hexadecimal 0 - as there are 16 variances with four binary numbers combined (lowest being 0000 while largest being 1111).

Posted on Nov 28, 2014

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Posted on Jan 02, 2017

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## Related Questions:

### How to convert dec to bin kenko kk-82tl-5?

Decimal is base 10 and binary is base 2.

The columns from right to left in base 10 are:

10^10 10^9 10^8 10^7 10^6 10^5 10^4 10^3 10^2 10^1 10^0
Similarly, the columns from right to left in base 2 are:
2^10 2^9 2^8 2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0

This site does a good job of explaining the conversion from decimal to binary.

For example, take the number 157. The biggest column that goes into 157 is 128, which is the 2^7th column, so we put 1 in that column. Subtracting 128 from157, we get 29. We start all over again. The biggest binary number going into 29 is 16, which is the 2^4th column. When you subtract 16 from 29, you get 13. We start all over again. The biggest binary number going into 13 is 8. Subtracting 8 from 13, we get 5. Biggest number going in is 4, 2^2th column. 1 left over to go into the 2^0 column.

Pulling it all together, we get:

10011101.

Checking, 128 + 16 + 8 + 4 + 1 = 157.

Good luck.

Let me know if you have any questions.

Paul

May 14, 2016 | Office Equipment & Supplies

Tip

### The Fisher & Paykel Smart Drive and EcoSmart electronic washing machines are...

The Fisher & Paykel Smart Drive and EcoSmart electronic washing machines are equipped with fault detecting software to help easily determine the cause whenever a problem occurs. Not like other electronic washing machines, these ones do not have displays to flash the code, but rather use the eight (8) light-emitting diodes (LED) of the Wash Progress indicators to indicate the fault code. The eight (8) LEDs stands as an 8-bit binary number (zeroes and ones) that must be decoded and then converted to the decimal number system to get the fault code.

The fault code can be decoded by determining which Wash Progress LEDs are lit. Once determined which of the LEDs are lit, write down the 8-bit binary code; 1 for lit LEDs and 0 for the off ones. For example; the final wash, rinse, and spin LEDs are lit; the binary code is 00001101. This in turn can be converted to the decimal number system by multiplying each digit with its corresponding place value then adding up the result. From left to right, the place values are 128, 64, 32, 16, 8, 4 , 2, and 1 respectively. Therefore, the decimal equivalent of 00001101 is 128(0) + 64(0) + 32(0) + 16(0) + 8(1) + 4(1) + 2(0) + 1(1) = 8 + 4 + 1 = 13; the fault code is 13.

on Apr 17, 2010 | Electrical Supplies

Tip

### Decoding Fisher & Paykel Electronic Washing Machine Fault Codes

The Fisher & Paykel Smart Drive and EcoSmart electronic washing machines are equipped with fault detecting software to help easily determine the cause whenever a problem occurs. Not like other electronic washing machines, these ones do not have displays to flash the code, but rather use the eight (8) light-emitting diodes (LED) of the Wash Progress indicators to indicate the fault code. The eight (8) LEDs stand as an 8-bit binary number (zeroes and ones) that must be decoded and then converted to the decimal number system to get the fault code.

The fault code can be decoded by determining which Wash Progress LEDs are lit. Once determined which of the LEDs are lit, write down the 8-bit binary code; 1 for lit LEDs and 0 for the off ones. For example; the final wash, rinse, and spin LEDs are lit; the binary code is 00001101. This in turn can be converted to the decimal number system by multiplying each digit with its corresponding place value then adding up the result. From left to right, the place values are 128, 64, 32, 16, 8, 4, 2, and 1 respectively. Therefore, the decimal equivalent of 00001101 is 128(0) + 64(0) + 32(0) + 16(0) + 8(1) + 4(1) + 2(0) + 1(1) = 8 + 4 + 1 = 13; the fault code is 13 which is a pump fault.

Once the code is determined, search the web for the meaning and indicate it when requesting for an online assistance to facilitate a quick and precise response.

on Apr 14, 2010 | Fisher and Paykel GWL11 Top Load Washer

### I AM TRYING TO UNDERSTAND BINARY

Where to start. Most things we do in math are in base 10, probably because we have 10 fingers. Instead of base 10, binary is base 2. In computers, binary rules because a bit can be set to ON or OFF, 1 being ON, and 0 being OFF.

So the next thing is counting. 0 1 10 11 100 101 110 111 1000 1001
Decimal equivalent 0 1 2 3 4 5 6 7 8 9

How to convert from binary to decimal? Line up the columns and multiply down. For example, 1101. The columns, starting from the right are 2^0, 2^1, 2^2, 2^3, reading ^ as exponent.

See if I can line these up. 1 1 0 1
2^3 2^2 2^1 2^0
8 4 2 1
multiplying down 8 4 0 1

Next step is to add them up. 8+4+1 = 13!

Going the other way, we have to divide by the largest 2^x number, so what is left over and continue dividing until nothing is left.

For example, 56. 2^5 (32) is the largest 2^x number that goes into 56, so we put a 1 in this column. Our remainder is 24. 2^4 (16) goes into this once, so we put a 1 in this column. Our remainder is 8. 2^3(8) goes into this once, so we put a 1 in this column. Now the remainder is 0 so we put a 0 in the 2^2 (4) column, 2^1(2) column, and 2^0 (1) column.

We end up with 111000.

Let me know if you have any questions.

Good luck.

Paul

Oct 26, 2015 | Office Equipment & Supplies

### Explain how to convert the binary number 01101 into decimal and convert it into decimal.

the binary system are made only for ones and zeros, when you try to "add one digit" in the binary system, you must add an 1 in the right-sided zero of the binary code, that means that when you want to count up in binary, it should be:

00000 = zero
00001 = one
00010 = two
00011 = three
00100 = four
00101 = five

and so on.
to go up to next number you must add a "1" in the place close more to the right, once this digit has reached its two states (binary= first 0 then 1) the same process occurs in the next digit , but it only rise from zero to one once the right one has reached its two binary states.
the binary digit 01101 stand for: 13 (decimal)

Mar 04, 2015 | Office Equipment & Supplies

### Convert to binary to a decimal 111000

To convert from binary to decimal, we have to line up the numbers with the binary columns.

1 1 1 0 0 0
2^5 2^4 2^3 2^2 2^1 2^0
32 16 8 4 2 1

32 + 16 + 8 + 0 + 0+ 0 = 56

Good luck.

Paul

Oct 03, 2014 | Office Equipment & Supplies

Press 0 ALPHA [H] 0 1 0 0 1 1 1 0 MODE F2, scroll down to the "Base" line, press right-arrow, select "BIN" then press ENTER ENTER ENTER.

As a note, 01001110 looks suspiciously like a binary number.

Jan 26, 2013 | Texas Instruments TI-89 Calculator

### Unable to open word document attachment in e-mail. Shows a square with numbers inside.

If you're seeing a little square with numbers inside (probably 1's and 0's) that file isn't a Word document at all, it is a BINARY file, an executable program, probably a virus or trojan.

Test the file with your anti-virus program, or better yet, simply DELETE it. Since you don't know what program it is, there is no reason to open it and risk damaging your system.

Feb 11, 2011 | Microsoft Windows XP Professional

Hello desireejane,

One method is to do the following

1. Convert the octal, hexadecimal or binary to decimal.
2. Add or Subtract the decimal normally
3. Convert the result back to octal, hexadecimal or binary.

• Convert the octal to decimal:

public static long octalToDecimal(String octal) throws NumberFormatException {
// Initialize result to 0
long res = 0;

// Do not continue on an empty string
if (octal.isEmpty()) {
throw new NumberFormatException("Empty string is not an octal number");
}

// Consider each digit in the string
for (int i = 0; i < octal.length(); i++) {
// Get the nth char from the right (first = 0)
char n = octal.charAt(octal.length() - (i+1));

int f = (int) n - 48;
// Check if it's a valid bit
if (f < 0 || f > 7) {
// And if not, die horribly
throw new NumberFormatException("Not an octal number");
} else {
// Only add the value if it's a 1
res
+= f*Math.round(Math.pow(2.0, (3*i)));
}
}

return res;
}

Mar 24, 2009 | Sun Java Programming Language (cdj-275)

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