State whether the following numbers are valid or not. If invalid, give reason. S.No. Statement Yes / No Reason (If invalid) .
is an Octal number . is a Binary number . Radix of Octal number is . Number System Conversions .
. Decimal to Binary Conversion Generally two methods followed. Method : To convert Decimal to Binary “ Repeated Division by ” method can be used. Any Decimal number divided by will leave a remainder of or .
Repeated division by will leave a sequence of 0s and 1s that become the binary equivalent of the decimal number. Suppose it is required to convert the decimal number N into binary form, dividing N by in the decimal system, we will obtain a quotient N1 and a remainder R1, where R1 can have a value of either or . The process is repeated until the quotient becomes or . When the quotient is ‘ ’ or ‘ ’, it is the final remainder value.
Write the final answer starting from final remainder value obtained to the first remainder value obtained. Example Convert ( ) into its equivalent binary number Chapter Page - - - - - - LSB MSB Note : / = + / = + / = + / = + / = + / = + Remainder ( ) = ( ) Method : Sum of Powers of . A decimal number can be converted into a binary number by adding up the powers of and then adding bits as needed to obtain the total value of the number. a) Find the largest power of that is smaller than or equal to .
> b) Set the ’s bit to and subtract from the original number - = c)