What positive integers have the following binary representations? (a) 11 (c) 1 (b) 1001001 (d) 100111

Answer and explanation:

To find : What positive integers have the following binary representations?

Solution :

In the binary number system, the weight of each digit increases by a factor of  2.

Converting binary number into a positive integer,

We have to multiply number by its place value power of 2 and added by another term.

a) Binary 100001

i.e.

b) Binary 1001001

i.e.

c) Binary 1000000000

i.e.

d) Binary 1001110000

i.e.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3