BitFlip

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`BitFlip`

New in 14.1

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BitFlip[n,k]

flips the bit corresponding to the coefficient of in the integer n.

Details

BitFlip changes an individual bit in an integer(from 0 to 1 and 1 to 0).
The lowest bit of integer n (e.g. signifying ) is flipped with k=0.
BitFlip[n,k] changes the bit k places from the right. For negative k specifications, the position is counted from the left, beginning with the final set bit.

Examples

open allclose all

Basic Examples (1)Summary of the most common use cases

Flip the initial bit of the number 2 from a 0 to a 1:

In[1]:=1

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https://wolfram.com/xid/0bdp1od03-jk83t4

Out[1]=1

Flip the second digit of 13, counting from the right:

In[2]:=2

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https://wolfram.com/xid/0bdp1od03-fdl0vd

Out[2]=2

Flip the second digit of 13, counting form the left:

In[3]:=3

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https://wolfram.com/xid/0bdp1od03-i72nzu

Out[3]=3

Starting with the number 0, flip positional bits:

In[4]:=4

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https://wolfram.com/xid/0bdp1od03-cp5tpq

Out[4]=4

Scope (2)Survey of the scope of standard use cases

Digits beyond the highest set bit are implicitly set to 0:

In[1]:=1

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https://wolfram.com/xid/0bdp1od03-5v2aji

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdp1od03-8okwwd

Out[2]=2

In[3]:=3

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https://wolfram.com/xid/0bdp1od03-5d8nl1

Out[3]=3

In[4]:=4

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https://wolfram.com/xid/0bdp1od03-o77uol

Out[4]=4

If a flip position is given to the right of the initial set bit, the original value will be unchanged:

In[1]:=1

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https://wolfram.com/xid/0bdp1od03-qpubjj

Out[1]=1

Properties & Relations (2)Properties of the function, and connections to other functions

For digits that are set to 1, BitFlip is equivalent to BitClear:

In[1]:=1

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https://wolfram.com/xid/0bdp1od03-c5eni6

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdp1od03-xqmxtl

Out[2]=2

For digits that are set to 0, BitFlip is equivalent to BitSet:

In[1]:=1

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https://wolfram.com/xid/0bdp1od03-j01mw1

Out[1]=1

In[2]:=2

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https://wolfram.com/xid/0bdp1od03-0yut3f

Out[2]=2

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