The binary representation of 5.2610 is estimated using the binary number 101.0100 00102.Convert this binary number to its decimal equivalent.

To convert the binary number 101.0100 0010 to its decimal equivalent, we need to understand the place values in a binary number.

For the whole number part:

• The rightmost digit represents 2^0, the next digit to the left represents 2^1, and so on.

For the fractional part:

• The first digit after the decimal point represents 2^-1, the next represents 2^-2, and so on.

So, let's break down the binary number:

Whole number part: 101

• 1*2^2 = 4
• 0*2^1 = 0
• 1*2^0 = 1 Adding these together, we get 4 + 0 + 1 = 5

Fractional part: .0100 0010

• 0*2^-1 = 0
• 1*2^-2 = 0.25
• 0*2^-3 = 0
• 0*2^-4 = 0
• 0*2^-5 = 0
• 0*2^-6 = 0
• 1*2^-7 = 0.0078125
• 0*2^-8 = 0 Adding these together, we get 0 + 0.25 + 0 + 0 + 0 + 0 + 0.0078125 + 0 = 0.2578125

So, the decimal equivalent of the binary number 101.0100 0010 is 5.2578125.