Final answer:
To convert binary to octal, group the binary digits into sets of three and assign each set to its corresponding octal digit. To convert binary to hexadecimal, group the binary digits into sets of four and assign each set to its corresponding hexadecimal digit. The decimal values obtained from both conversions should be the same.
Step-by-step explanation:
To convert a binary number to octal, we group the binary digits into sets of three from right to left and assign each set of three to its corresponding octal digit. For example, in binary number (A) 111010110001.011₂, we group it as (357.3)₈.
To convert a binary number to hexadecimal, we group the binary digits into sets of four from right to left and assign each set of four to its corresponding hexadecimal digit. For example, in binary number (A) 111010110001.011₂, we group it as (3A1.3)₁₆.
Converting these two answers to decimal, (357.3)₈ is equal to (239.1875)₁₀, and (3A1.3)₁₆ is equal to (929.1875)₁₀. Both decimal values are the same, confirming our conversion.