Answer:
- The leftmost 1 in 101 gives the 4.
- 1 in 101 (using binary system) gives the bits that must be counted to make a decimal number.
Explanation:
While working on binary system, we represent the decimal digits (0-9) by using only two digits 0's and 1's. They are written by dividing the decimal digit by 2 and then recording the remainder bits in reverse order.
As given in the question 5 is represented in binary as 101.
Now converting binary to decimal:
- The bits of binary number are multiplied by increasing powers of 2 (starting from the right) and added to get decimal value.
- So the binary number 101 will be interpreted as:
[tex]=1*2^2+ 0*2^1 + 1*2^0\\= 1*4 + 0 + 1\\= 4+1\\=5[/tex]
- So the leftmost 1 will show the presence of 4.
- 1 in the number 101 shows which bits will be weighted to give the required value.
i hope it will help you!
