Mapping values of two different-length vectors to index-vector

Hello,

I didn't know how to put my problem into a good google search... I could not find anything appropriate.

What I want to do is I have two vectors

a = [0 .07 .14 .21 .28 .35 .42 .5]
b = [0 .1  .2  .3  .4 .5]

I want to compare a and b in a way that I get an Index vector which would say that a(1) is between b(1) and b(2), i.e. this index would return i(1) = 1 because a(1) is between b(1) and b(2). For the next element in a it would return i(2) = 1, because a(2) is between b(1) and b(2). For a(3) it would return i(3) = 2, because a(3) is between b(2) and b(3), etc. How can i achieve this? Thank you in advance!

[KALYAN ACHARJYA]

Ohh sorry your question is different, I did not read the second part.

But the logic is not clear for me..

i(1) = 1 because a(1) is between b(1) and b(2)

i(2) = 1, because a(2) is between b(1) and b(2)

i(3) = 2, because a(3) is between b(2) and b(3)...??.Here i(3)=2 and here b(2) and b(3)....in privious case b(1) abd b(2)

Answer 1

[Stephen23]

>> [~,X] = histc(a,b)
X =
   1   1   2   3   3   4   5   6

[Shelli255]

thank you very much, kind sir!