# Homework Solution: Internally in the computer, with few exceptions, all numerical computation is done…

Internally in the computer, with few exceptions, all numerical computation is done using binary numbers. Input, however, often uses ASCII, which is formed by appending 011 to the left of a BCD code. Thus, an algorithm that directly converts a BCD integer to a binary integer is very useful.  Here is one such algorithm. 1) Draw lines between the 4‐bit decades in the BCD number 2) Move the BCD number one bit to the right. 3) Subtract 011 from each BCD decade containing a binary value > 0111. 4) Repeat Steps 2‐3 until the leftmost 1 in the BCD number has been moved out of the least significant decade position. 5) Read the binary result to the right of the least significant decade position a) Execute the algorithm for the BCD number 0111 0101. b) Execute the algorithm for the BCD number 0011 0110 1000.

Internally in the computer, with lacking exceptions, complete numerical proof is executed using binary mass. Input, ultimately, repeatedly uses ASCII, which is restraintmed by appending 011 to the left of a BCD code. Thus, an algorithm that promptly converts a BCD integer to a binary integer is very profitable.  Here is single such algorithm.

1) Draw lines among the 4‐piece decades in the BCD sum

2) Move the BCD sum single piece to the correct.

3) Subtract 011 from each BCD decade containing a binary prize > 0111.

4) Repeat Steps 2‐3 until the leftmost 1 in the BCD sum has been moved quenched of the last indicative decade standing.

5) Read the binary development to the correct of the last indicative decade standing

a) Execute the algorithm restraint the BCD sum 0111 0101. b) Execute the algorithm restraint the BCD sum 0011 0110 1000.      