A decimal number can be converted into diffrent radices by continuos division and recording the remainders.
Part 1
To convert the decimal number 100 to radix 2, we have:
[tex] \frac{100}{2} =50 \ remainder \ 0 \\ \\ \frac{50}{2} =25 \ remainder \ 0 \\ \\ \frac{25}{2} =12 \ remainder \ 1 \\ \\ \frac{12}{2} =6 \ remainder \ 0 \\ \\ \frac{6}{2} =3 \ remainder \ 0 \\ \\ \frac{3}{2} =1 \ remainder \ 1 \\ \\ \frac{1}{2} =0 \ remainder \ 1[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 2 is 1100100
Part 2:
To convert the decimal number 100 to radix 3, we have:
[tex]\frac{100}{3} =33 \ remainder \ 1 \\ \\ \frac{33}{3} =11 \ remainder \ 0 \\ \\ \frac{11}{3} =3 \ remainder \ 2 \\ \\ \frac{3}{3} =1 \ remainder \ 0 \\ \\ \frac{1}{3} =0 \ remainder \ 1[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 3 is 10201
Part 3:
To convert the decimal number 100 to radix 4, we have:
[tex]\frac{100}{4} =25 \ remainder \ 0 \\ \\ \frac{25}{4} =6 \ remainder \ 1 \\ \\ \frac{6}{4} =1 \ remainder \ 2 \\ \\ \frac{1}{4} =0 \ remainder \ 1[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 4 is 1210
Part 4:
To convert the decimal number 100 to radix 5, we have:
[tex]\frac{100}{5} =20 \ remainder \ 0 \\ \\ \frac{20}{5} =4 \ remainder \ 0 \\ \\ \frac{4}{5} =0 \ remainder \ 4[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 5 is 400
Part 5:
To convert the decimal number 100 to radix 6, we have:
[tex]\frac{100}{6} =16 \ remainder \ 4 \\ \\ \frac{16}{6} =2 \ remainder \ 4 \\ \\ \frac{2}{6} =0 \ remainder \ 2[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 5 is 244
Part 6:
To convert the decimal number 100 to radix 7, we have:
[tex]\frac{100}{7} =14 \ remainder \ 2 \\ \\ \frac{14}{7} =2 \ remainder \ 0 \\ \\ \frac{2}{7} =0 \ remainder \ 2[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 5 is 202
Part 7:
To convert the decimal number 100 to radix 8, we have:
[tex]\frac{100}{8} =12 \ remainder \ 4 \\ \\ \frac{12}{8} =1 \ remainder \ 4 \\ \\ \frac{1}{8} =0 \ remainder \ 1[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 5 is 144
Part 8:
To convert the decimal number 100 to radix 9, we have:
[tex]\frac{100}{9} =11 \ remainder \ 1 \\ \\ \frac{11}{9} =1 \ remainder \ 2 \\ \\ \frac{1}{9} =0 \ remainder \ 1[/tex]
Starting from the bottom we collate the remainders.
Therefore, the value of decimal number 100 in radix 5 is 121
