answersLogoWhite

0


Best Answer

Take the number 1011

At first look you would say the value is one thousand and eleven and that is because we normaly think in terms of decimal numbers where the base is 10. In this system the digits are made up of 0,1,2,3,4,5,6,7,8,9. The number '10' itself (the base of this system) is formed by combining two of the primitive symbols (0 and 1). Base 10 means that the number 1011 has positional values of

(1 x 10^3) + (0 x 10 ^2) + (1 x 10^1) + (1 x 10^0), Note any number rasied to the power zero is 1. Thus our number is the same as adding

one thousand

zero hundreds

1 ten

1 one

But if I said the number is in binary the value is equivalent to decimal value '11'

This is because in the binary system of numbers the base is 2. In this system the digits are made up of 0,1. The number '2' itself (the base of this system) is formed by combining two of the primitive symbols (0 and 1). Base 2 means that the number 1011 has positional values of

(1 x 2^3) + (0 x 2 ^2) + (1 x 2^1) + (1 x 2^0), Note any number rasied to the power zero is 1. Thus our number is the same as adding

one eight

zero fours

1 two

1 one

As an exercise try defining the octal system representation of 1011 (Clue: The primitive digits are 0.1.2.3.4.5.6.7 and the number 8 itself (the base of this system is formed by combining two of the primitive symbols, 0 and 1). You should get a decimal quivalent of 521.

As an additional exercise try defining the hexadecimal system representation of 1011 (Clue: The primitive digits are 0.1.2.3.4.5.6.7,8,9,A,B,C,D,E,F and the number 16 itself (the base of this system is formed by combining two of the primitive symbols, 0 and 1). You should get a decimal quivalent of 4113.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What are number systemsexplain binary and decimal number systemwith example?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How are negative number represented in binary number system?

Just as in decimal, you can put a minus sign in front. For example, if 101 (binary) is decimal 5, then -101 (binary) is decimal -5.


What is 97 in binary code?

You can easily convert decimal to binary in the scientific calculator - for example, the scientific calculator found in Windows. In this case, type the number in decimal, then click on "binary" to convert to binary.


What is the answer of binary decimal plus binary?

If you want to add numbers in different bases, in this case decimal and binary, or do any other calculation that involves different bases for that matter, you have to convert all numbers to a single system first - for example, all to decimal. Then you can do the operation. It is really up to you in what base you represent the final answer. In this example, you can convert back to binary, for example.


How does the IC 4026 works?

It is a decade counter with a binary to decimal translator meaning it can take binary and turn it into decimal numbers for example a seven segment display


What decimal number is 110 squared in binary?

If 110 is binary, and you want the answer in decimal form,110 in binary = 6 in decimal, so binary 1102 = decimal 62 = 36If 110 is decimal, and you want the answer in binary form,Decimal 1102 = 12100; decimal 12100 in binary is 10111101000100


What is a very simple difference between your common decimal system and the computers binary system?

The Binary system uses only the numbers 1 & 0. The decimal system has "dots" in them example of decimal: 1.25


Is a function that maps binary to natural numbers a bijection?

No. The set of binary numbers includes fractions which are written in binary form. For example, binary(0.1) = decimal(0.5) which is not a natural number.


What is binary 10000111 in decimal?

Binary 10000111 = Decimal 135


What is the decimal binary code for 30?

Decimal 30 = binary 11110. The decimal binary code (BCD), however, is 11 0000.


What is the decimal value of 181 in binary?

Decimal 181 in binary is 10110101


Decimal 4 is binary equivalent to?

Decimal 4 is binary 100.


What is the binary of decimal number for 123?

decimal [ 123 ] = binary [ | | | | 0 | | ]