Page 17 - C_GPT _V4 _class_7
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Topic Flashback 21 st Century
Skills #Critical Thinking
1. Convert the binary number 1000 into decimal.
2. Convert decimal number 30 into binary.
OPERATIONS ON BINARY NUMBERS
Let's learn the basic operations on binary numbers.
Binary Addition
Binary addition is similar to adding decimal numbers. When the value of addition exceeds the value 1,
say 10 or 11, then 1 is carried over to the left of the current position. The rules for adding two binary
digits are given below:
X Y X + Y
0 0 0 + 0 = 0
0 1 0 + 1 = 1
1 0 1 + 0 = 1
1 1 1 + 1 = 10 (carry 1)
For example, let us add the binary numbers (101111) and (10111) .
2
2
1 1 1 1 1 _____ Carry bits
1 0 1 1 1 1
+ 1 0 1 1 1
1 0 0 0 1 1 0
Number System 15

