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Sagot :
The smallest computing data unit is the binary digit or bit. It is represented by 0 or 1, respectively. Binary numbers consist of binary digits (bits). To calculate the smallest to largest binary digit first convert the binary to decimal.
Binary conversion
Let
[tex]\to 2^0=1[/tex]
Converting Binary to decimal:
For point a:
[tex](0011)_2 = (0 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)=0+0+2+1 = (3)_{10}\\\\(0110)_2 = (0 \times 2^3) + (1 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=0+4+2+0 = (6)_{10}\\\\(0101)_2 = (0 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)=0+4+0+1 = (5)_{10}\\\\(1010)_2 = (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=8+0+2+0 = (10)_{10}\\\\[/tex]
For point b:
[tex](1010)_2 = (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=8+0+2+0 = (10)_{10}\\\\(0101)_2 = (0 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)=0+4+0+1 = (5)_{10}\\\\(0110)_2 = (0 \times 2^3) + (1 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=0+4+2+0 = (6)_{10}\\\\(0011)_2 = (0 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)=0+0+2+1 = (3)_{10}\\\\[/tex]
For point c:
[tex](0011)_2 = (0 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)=0+0+2+1 = (3)_{10}\\\\(0101)_2 = (0 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)=0+4+0+1 = (5)_{10}\\\\(0110)_2 = (0 \times 2^3) + (1 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=0+4+2+0 = (6)_{10}\\\\(1010)_2 = (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=8+0+2+0 = (10)_{10}\\\\[/tex]
For point d:
[tex](1010)_2 = (1 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=8+0+2+0 = (10)_{10}\\\\(0110)_2 = (0 \times 2^3) + (1 \times 2^2) + (1 \times 2^1) + (0 \times 2^0)=0+4+2+0 = (6)_{10}\\\\(0101)_2 = (0 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)=0+4+0+1 = (5)_{10}\\\\(0011)_2 = (0 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)=0+0+2+1 = (3)_{10}\\\\[/tex]
Therefore, the final answer is "Option c"
Learn more:
brainly.com/question/1352451
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