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Binary Subtraction
In binary subtraction, binary number of lower value is subtracted from the binary number of higher
value. The given table explains the subtraction of digit Y from digit X. If Y is greater than X, then 1 is
borrowed from the next position. When the binary digit 0 borrows 1 from the next most significant
digit, it becomes 10.
X Y X – Y
0 0 0 – 0 = 0
0 – 1 = 1
0 1
(borrow 1, so that 10 – 1 = 1)
1 0 1 – 0 = 1
1 1 1 – 1 = 0
For example, let us subtract the binary number (111) from (1000) .
2
2
1 1
0 (10) (10) (10) _____ Borrow
Factbot
1 0 0 0
Modern day binary number system was
– 1 1 1
invented by Gottfried Lebiniz in 1679.
0 0 0 1
Timeline
A number system is a collection of numbers used to describe various quantities.
The decimal number system consists of ten digits from 0 to 9.
The binary number system consists of two digits 0s and 1s.
The octal number system is used as a shorthand representation of long binary numbers.
The hexadecimal number system consists of 16 digits from 0 to 9 and A to F.
Choose the correct option.
1. Which of the following is called the right-most digit before the fractional point in the binary number
system?
a. MSD b. LSD
c. BSD d. None of these
2. What is the another name for Base 2?
a. Binary number system b. Hexadecimal number system
c. Decimal number system d. Octal number system
16 Plus (Ver. 4.0)-VII

