Question

Convert the decimal number 1819111023.439246416091794 to the base 256 system.

Show all the intermediate steps. Don’t miss a decimal point in this number.

Answer 1

ANSWER

108 : 109 : 110 : 111 . 112 : 114 : 115 : 255 : 255 : 220 : 213

EXPLANATION

1819111023 (GIVEN NUMBER)

7105902(quotient), 111 (remainder)
27757(quotient), 110(remainder)
108(quotient), 109(remainder)
0(quotient), 108(remainder)

Write remainders from bottom to up

108 109 110 111 <- before decimal point

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Now .439246416091794 part

.439246416091794*256

112.44708251949926 256*0.44708251949926137
114.45312499181091 256*0.4531249918109097
115.99999790359288 256*0.9999979035928845
255.99946331977844 256*0.9994633197784424
255.86260986328125 256*0.86260986328125
220.828125 256*0.828125
213.0 there is 0. Stop it.

112 : 114 : 115 : 255 : 255 : 220 : 213

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