Basic Electrical and Electronics Engineering: Unit IV: Digital Electronics
Binary Arithmetic: Arithmetic Addition
with Solved Example Problems
The addition of two numbers in the signed magnitude follows the rules of ordinary arithmetic.
BINARY ARITHMETIC:
Arithmetic
Addition:
The
addition of two numbers in the signed magnitude follows the rules of ordinary
arithmetic. In the signs are the same, add the two magnitudes and give the sum
the common sign. If the signs are different, subtract the smaller magnitude
from the larger and give the result the sign of the larger magnitude.
Binary addition
Problem: 39
Add the binary number (1001 1000)2
and (00110110)2
Solution:
Problem: 40
Add the numbers using binary
addition (36)10 and (24)10.
Solution:
(36)10 ⇒ (100100)2
(24)10 => 11000
Problem: 41
Add the numbers using binary
addition (28)10 and (-15)10
(28)10
→ (11100)2
(15)10
→ (01111)2
-
(15)10 => 1's complement of (01111)2 = 10000
(Note
if carry generated add that carry)
Ans
=> (1101)2
Problem: 42
Add the number using binary
addition (-29)10 and (14)10
(11101)2
(1110)2
If
there is no carry complement the result.
(1111)2
Problem: 43
Add the number using binary
addition (-28)10 and (-14)10.
(28)10
⇒ (011110)
(-28)
⇒ 1's complement of
(-28)10⇒
(100011)2
(14)10 ⇒ (0 1 1 1 0) ⇒ 1's complement of
(-14)10 ⇒
(1 0 0 0 1)2
Basic Electrical and Electronics Engineering: Unit IV: Digital Electronics : Tag: : with Solved Example Problems - Binary Arithmetic: Arithmetic Addition
Basic Electrical and Electronics Engineering: Unit IV: Digital Electronics
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