Question: Subtract the following using method given below:
0

i) $(11)_{10} – (22)_{10}$ using 2’s complement.

ii) $(33)_{10} – (44)_{10}$ using one’s complement.

Marks: 5 M

Year: Dec 2013

ADD COMMENTlink
modified 28 days ago by gravatar for RB RB ♦♦ 110 written 3.4 years ago by gravatar for Sayali Bagwe Sayali Bagwe2.2k
0

i) $(11)_{10} – (22)_{10}$ using 2’s complement.

enter image description here

$2’s complement of (22)_{10} = (10110)_2 = (01001) + (1) = (01010)_2$

enter image description here

$2’s complement of (10101)_2 = (01010) + (1) = (01011)_2 = (11)_{10}$

$(11)10 – (22)10 = (11)10$

ii) $(33)_{10} – (44)_{10}$ using one’s complement

enter image description here

1’s complement of $(44)_{10} = (101100)_2 = (010011)_2$

enter image description here

1’s complement of $(110100)_2 = (001011)_2 = (11)_{10}$

$(33)_{10} – (44)_{10} = (11)_{10}$

ADD COMMENTlink
modified 3.4 years ago  • written 3.4 years ago by gravatar for Sayali Bagwe Sayali Bagwe2.2k
Please log in to add an answer.