Describe the standard algorithm for finding the decimal representation of apositive binary numbera. in English.b. in a pseudocode.
Question
Describe the standard algorithm for finding the decimal representation of a positive binary number
a. in English.
b. in a pseudocode.
Solution
a. In English:
Step 1: Start from the rightmost bit of the binary number, which is also known as the least significant bit (LSB).
Step 2: Multiply each bit by 2 raised to the power of its position. The position is counted from zero, starting from the LSB.
Step 3: Add all the values obtained from step 2. The result is the decimal equivalent of the binary number.
b. In Pseudocode:
function binaryToDecimal(binaryNumber)
decimalNumber = 0
length = length of binaryNumber
for i from 0 to length-1
bit = binaryNumber[length - i - 1]
decimalNumber = decimalNumber + bit * (2^i)
end for
return decimalNumber
end function
In this pseudocode, we start from the rightmost bit of the binary number (the least significant bit) and move to the left, multiplying each bit by 2 raised to the power of its position and adding the result to the decimal number. The final value of the decimal number is the decimal equivalent of the binary number.
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