Question

In binary system 111 represent

Answer 1

Answer:

111 means 7 in the binary system.

Explanation:

Binary digit system is very important in the modern computing field where large amount of data are processed in the form of binary digits.

But in the real life scenarios,we use decimal digit system for the manual calculation.

That's why the binary to decimal conversion is very important.

Similarly,the binary digit 111 means "7" in the decimal digit system.

= 2^0 + 2^1 + 2²

= 1+2+4

= 7 (answer)

Answer 2

Answer:  

The binary system 111 represent 7.

Solution:

The binary number can be converted into decimal number by addition of the multiple of the digit with two to the power of digits. So in this case,

$\bold{111=\left(1 \times 2^{0}\right)+\left(1 \times 2^{1}\right)+\left(1 \times 2^{2}\right)}$

$\bold{111=1+2+4=7}$

So the binary number 111 is equivalent to 7 of decimal number. Similarly binary number can also be converted to hexadecimal number by adding the multiples of the digit with eight to the power of the digits. So here for decimal conversion, two is used as the base, the equivalent term for 111 is observed as 7.