Convert the binary expansion of each of these integers to a decimal expansion.a) (1 1111)2________________b) (10 0000 0001)2________________c) (1 0101 0101)2________________d) (110 1001 0001 0000)2

Solution:Step1To findConvert binary expansion to decimal expansion.Step2The decimal extension of a number is its representation in base -10.A binary expansion is represented number in 0 or 1 base-2a) (1 1111)2 = ( = = =31Therefore, binary expansion of to decimal is .Step3b) (10 0000 0001)2 = ( = = Therefore, binary expansion of to decimal is .Step4c) (1 0101 0101)2 = ( = =341 Therefore, binary expansion of to decimal is .Step5d) (110 1001 0001 0000)2 = ( = =26896 Therefore, binary expansion of to decimal is .