1. Activity 2
How is the word length of a two’s complement representation changed without affecting its value?
In this activity, we are going to study how the word length of a two’s complement representation is changed without affecting its value.

2. Activity 2
How is the word length of a two’s complement representation changed without affecting its value?
Procedures
1.　Find out the 8-bit representation of two’s complement 　　of –410.
　　8-bit binary representation of 410 =
　　One’s complement of –410 　　　=
　　Two’s complement of –410 　　　=
1011

3. Activity 2
How is the word length of a two’s complement representation changed without affecting its value?
Procedures
2.　Find out the 16-bit representation of two’s complement
　　of –410.
　　16-bit binary representation of 410 =
　　One’s complement of –410 　　　 =
　　Two’s complement of –410 　　　 =

4. Activity 2
How is the word length of a two’s complement representation changed without affecting its value?
Procedures
3.　Hence or otherwise, suggest the steps of converting a
　　two’s complement representation from m-bit to n-bit
　　(where n > m).
　　＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿
＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿
＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿
＿＿＿＿＿＿＿＿＿＿＿＿
If the m-bit representation is non-negative (i.e the leftmost bit is 0), add or remove the leading ‘0’ to the left of the m-bit representation, forming an n-bit representation.
If the m-bit representation is negative (i.e. the leftmost bit is 1), add or remove the leading ‘1’ to the left of the m-bit representation, forming an n-bit representation.

5. Activity 2
How is the word length of a two’s complement representation changed without affecting its value?
Procedures
3.　Hence or otherwise, suggest the steps of converting a
　　two’s complement representation from m-bit to n-bit
　　(where n > m).
　　＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿
＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿
＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿＿
＿＿＿＿＿＿＿＿＿＿＿＿
If the m-bit representation is non-negative (i.e the leftmost bit is 0), add or remove the leading ‘0’ to the left of the m-bit representation, forming an n-bit representation.
If the m-bit representation is negative (i.e. the leftmost bit is 1), add or remove the leading ‘1’ to the left of the m-bit representation, forming an n-bit representation.