Using binary to decimal conversion, it is found that the numbers have the same values.
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0011
Converting from decimal, the number is given by:
[tex]0011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 = 1 + 1 + 0 + 0 = 2[/tex]
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000011
Converting from decimal, the number is given by:
[tex]000011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 + 0\times2^4 + 0\times2^5 = 1 + 1 + 0 + 0 + 0 + 0 = 2[/tex]
In both cases, the result of conversion is 2, thus, they have the same value.
A similar problem is given at https://brainly.com/question/7978210
To transform a binary number to a decimal number we need to multiply each of the components of the binary number by 2 to the power of the place value minus one, and sum all of that.
Based on this, we will see that 0011 and 000011 have the same value.
For example, the number 01 will be:
[tex]0*2^1 + 1*2^0 = 1[/tex]
The number 1010 will be:
[tex]1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 1*8 + 1*2 = 10[/tex]
Now let's convert the two given numbers to decimals:
0011
[tex]0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]
000011
[tex]0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]
So exactly like in decimal numbers, adding zeros to the left side does not affect the value.
If you want to learn more, you can read:
https://brainly.com/question/19802955
