Exercise 3.13 Suppose we add another bit to the toy number system, allowing signif- icands of the form bo.bibzb3, with bo stored explicitly as before and all nonzero numbers required to be normalized. The restrictions on the exponent are unchanged. Mark the new numbers on a copy of Figure 3.1.

Write a program that swaps 5th~11th bits in data_a with 25th~31th bits in data_bYour program must work for any data given, not just the example belowIn this question, we assume that the positions of bits count from right to left.That is, the first bit is the least significant bit.data_a        DCD    0x77FFD1D1data_b        DCD    0x12345678

In Java This assignment introduces bitwise-manipulation operators (&, |, <<, >>, >>>, ^, and ~),which are not discussed elsewhere in the book. The bitwise-manipulation operators performsimultaneous bit manipulations and enable programs to process large quantities of binaryinformation efficiently. This project is here because the solution uses a conditional operator.The binary & and | operators can implement bitwise “and” and “or” operations oncorresponding bits in a pair of 32-bit int operands. This bit-manipulation capability enablesJava to efficiently process large quantities of raw binary information. We use this capability toencrypt information sent over the Internet and to process graphical images. Suppose you havea 32-bit pattern of 1’s and 0’s in an integer called mask. You can use mask to either set to 1or reset to 0 any subset of the bits in another integer called data:• data |= mask;1 drives to 1 all bits in data that correspond to 1 bits in…

Implement the modular exponentiation (a.k.a. fast exponentiation)function mod_exp (b, n, m) to compute bn (mod m) more efficiently. (Hint: toread n bit-by-bit, use / and % operations repeatedly)a) Test your function for b = 3, n = 231 – 2, m = 231 – 1.b) Report the result and the time (in seconds) it takes to find the result.   in pahton