The binary AND operation of the numbers “100101” and “110011” results (in decimal) 100001 2 33 63

The binary AND operation is performed bit by bit on the binary representations of numbers. Here are the steps to find the binary AND of the numbers “100101” and “110011”:

1. Write down the two numbers one below the other, aligning the bits:

100101
110011

2. Perform the AND operation on each pair of bits. The AND operation returns 1 if both bits are 1, and 0 otherwise:

100101
110011
------
100001

So, the result of the binary AND operation of “100101” and “110011” is “100001”.

To convert this binary number to decimal:

1. Write down the binary number and assign powers of 2 to each bit, starting from 0 on the right:

32 16 8 4 2 1
1  0  0 0 0 1

2. Multiply each bit by its corresponding power of 2 and add up the results:

32*1 + 16*0 + 8*0 + 4*0 + 2*0 + 1*1 = 32 + 1 = 33

So, the decimal equivalent of the binary number “100001” is 33.