Question

Q2: NUMBER OF DIGITS REQUIRED TO REPRESENT THE DECIMAL NUMBER 31 IN EQUIVALENT BINARY
FORM ARE? ​

Answer 1

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Answer 2

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TO DETERMINE

Number Of Digits required to represent the decimal number 31 in equivalent binary form

PROCESS

STEP : 1 First convert the decimal number 31 into binary

STEP : 2 Count the number of digits in equivalent binary number

CALCULATION

$\: \: \: \: \: \: \: \sf{31 = (2 \times 15 )+ 1}$

$\: \: \: \: \: \: \: \sf{15 = (2 \times 7 )+ 1}$

$\: \: \: \: \: \: \: \sf{7 = (2 \times 3 )+ 1}$

$\: \: \: \: \: \: \: \sf{3 = (2 \times 1 )+ 1}$

$\: \: \: \: \: \: \: \sf{1 = (2 \times 0 )+ 1}$

$\bold{\sf{So \: \: (31)_{10} = ( 11111)_2}}$

RESULT

Hence Number Of Digits required to represent the decimal number 31 in equivalent binary form is 5

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