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# Coded Binary Numbers - Solved Examples

In a certain code, the symbol for 0 is # and for 1 is =. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.

0 is written as #

1 is written as =

2 is written as =#

3 is written as ==

4 is written as =## and so on

Q 1 − Which of the following will represent 2x2+3x2+3x3+2×2?

**Options :**

**Answer - B**

**Explanation**

Here the solution is 23. After dividing this number with 2, we will get remainder as 101111. This means the symbol will be =#===.

In a certain code, the symbol for 0 is # and for 1 is =. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.

0 is written as #

1 is written as =

2 is written as =#

3 is written as ==

4 is written as =## and so on

Q 2 − Which of the following number will be represented by =###=

**Options :**

**Answer - B**

**Explanation**

=###=can be represented as 10001 it means 16+0+0+0+1 = 17.

In a certain code, the symbol for 0 is # and for 1 is =. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.

0 is written as #

1 is written as =

2 is written as =#

3 is written as ==

4 is written as =## and so on

Q 3 − Choose the combination that will represent 28.

**Options :**

**Answer - D**

**Explanation**

11100 is the remainder after dividing the asked number with 2. So our answer will be ===##.

0 is written as #

1 is written as =

2 is written as =#

3 is written as ==

4 is written as =## and so on

Q 4 − Which of the following will represent =#####?

**Options :**

**Answer - D**

**Explanation**

=##### can be represented as 100000. This is nothing but 32.

0 is written as #

1 is written as =

2 is written as =#

3 is written as ==

4 is written as =## and so on

Q 5 − Which of the following symbols will be represent 9?

**Options :**

**Answer - D**

**Explanation**

The number 9 can be represented as 1001. It means =##=.

0 is written as #

1 is written as =

2 is written as =#

3 is written as ==

4 is written as =## and so on

Q 6 − Which of the following numbers will be represent 17?

**Options :**

**Answer - C**

**Explanation**

The number 17 can be represented as 10001. It means =###=.

In a certain code, the symbol 0 is written as * and 1 is written as +. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.

0 is written as *

1 is written as +

2 is written as +*

3 is written as ++

4 is written as +**

Q 7 − Which of the following numbers will be represented by +**+?

**Options :**

**Answer - D**

**Explanation**

The number is +**+ = (1001)_{2} = (9)_{10}

In a certain code, the symbol 0 is written as * and 1 is written as +. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.

0 is written as *

1 is written as +

2 is written as +*

3 is written as ++

4 is written as +**

Q 8 − Which of the following numbers will be represented by *++*?

**Options :**

**Answer - B**

**Explanation**

The number is *++* = (0110)_{2} = (6)_{10}

In a certain code, the symbol 0 is written as * and 1 is written as +. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.

0 is written as *

1 is written as +

2 is written as +*

3 is written as ++

4 is written as +**

Q 9 − Which of the following numbers will be represented by **++?

**Options :**

**Answer - D**

**Explanation**

The number is **++ = (0011)_{2} = (3)_{10}

0 is written as *

1 is written as +

2 is written as +*

3 is written as ++

4 is written as +**

Q 10 − Which of the following numbers will be represented by +**+?

**Options :**

**Answer - D**

**Explanation**

The number represented by +**+ is (1001)_{2} = (09)_{10}