Write down the six bit sign magnitude notation for:
(+7)10 and (-7)10
Write the 2’s Complement for (-7)10
The six-bit sign-magnitude notation for (+7)10 is:
001111
The six-bit sign-magnitude notation for (-7)10 is:
101111
The 2's Complement for (-7)10 is:
100001
To represent a number in six-bit sign magnitude notation, the most significant bit (MSB) indicates the sign. Let's write down the six-bit sign magnitude notations for both (+7)10 and (-7)10:
1. (+7)10:
The binary representation of (+7)10 is 0111. Since it is a positive number, the sign bit is 0. Thus, the six-bit sign magnitude notation for (+7)10 is: 001111.
2. (-7)10:
The binary representation of (-7)10 is 1001. Since it is a negative number, the sign bit is 1. Thus, the six-bit sign magnitude notation for (-7)10 is: 101001.
To find the 2's complement of a number, you invert all the bits and then add 1.
Now, let's find the 2's complement for (-7)10:
Step 1: Invert all the bits of (-7)10:
Binary representation of (-7)10: 1001
Inverted bits: 0110
Step 2: Add 1 to the inverted number:
Inverted number: 0110
Adding 1: 0001
Thus, the 2's complement of (-7)10 is: 0001.