Binary Coded Decimal MCQ Quiz - Objective Question with Answer for Binary Coded Decimal - Download Free PDF

Convert binary to decimal :-

• For binary number with n digits:
• dn-1 ... d3 d2 d1 d0
• The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
• decimal = d0×20 + d1×21 + d2×22 + ...

 

Calculation:

Decimal equivalent of binary number 1001110 :-
=  1 × 2⁶ + 0 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 1 x 21 + 0 x 20

​= 64 + 0 + 0 + 8 + 4 + 2 + 0 = 78​

Extended Binary Coded Decimal Interchange Code is an eight-bit character encoding used mainly on IBM mainframe and IBM midrange computer operating systems.

EBCDIC was devised in 1963 and 1964 by IBM. It is an eight-bit character encoding, developed separately from the seven-bit ASCII encoding scheme.

Concept: 

Canonical form:  Any Boolean function that expressed as a sum of minterms or as a product of max terms is said to be in its canonical form.

There are two types of canonical forms:

SOP:

Sum of products or sum of minterms

In SOP (sum of product) form, a minterm is represented by 1.

Example of SOP: XY + X’Y’

POS:

Product of sums or product of max terms

In POS (product of sum) form, a maxterm is represented by 0.

Example of POS: (X+Y) (X’+Y’)

Analysis:

Decimal number	A	B	C	D
0	0	0	0	0
1	0	0	0	1
2	0	0	1	0
3	0	0	1	1
4	0	1	0	0
5	0	1	0	1
6	0	1	1	0
7	0	1	1	1
8	1	0	0	0
9	1	0	0	1
10	1	0	1	0
11	1	0	1	1
12	1	1	0	0
13	1	1	0	1
14	1	1	1	0
15	1	1	1	1

∴

Decimal number 15 = ABCD 

Calculation:

\(√{0.9}\) = √(9/10) = 3/√10 = 3/3.16

∴ \(√{0.9}\) = 0.948

Convert binary to decimal :-

• For binary number with n digits:
• dn-1 ... d3 d2 d1 d0
• The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
• decimal = d0×20 + d1×21 + d2×22 + ...

 

Calculation:

Decimal equivalent of binary number 1001110 :-
=  1 × 2⁶ + 0 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 1 x 21 + 0 x 20

​= 64 + 0 + 0 + 8 + 4 + 2 + 0 = 78​

Excess - 3 - code is also known as self-complementing code which means 1's complement of an excess - 3 number is the excess - 3 code for the 9's complement of the corresponding decimal number.

Example:

1  in binary is 0001

excess 3 code is 0001 + 0011 = 0100

1's complement of the above code is 1011 which is 11 

11 is excess 3 code for 8

and 9's complement of 1 is 8

Decimal	Excess – 3 code	Binary	Gray code	Octal
0	0011	0000	0000	000
1	0100	0001	0001	001
2	0101	0010	0011	010
3	0110	0011	0010	011
4	0111	0100	0110	100
5	1000	0101	0111	101
6	1001	0110	0101	110
7	1010	0111	0100	111
8	1011	1000	1100	001 000

The correct answer is 7

Key Points

ASCII stands for American Standard Code for Information Interchange is a character encoding standard for electronic communication. 

Additional Information

• ASCII characters are represented by seven bits. ASCII codes are of two types- ASCII-7 and ASCII-8. ​The standard ASCII character has 7 bits and the basic set ranges from 0 to 127.​
• The extended ASCII character has 8 bits and the basic set ranges from 0 to 255.

Convert binary to decimal :-

• For binary number with n digits:
• dn-1 ... d3 d2 d1 d0
• The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n):
• decimal = d0×20 + d1×21 + d2×22 + ...

 

Calculation:

Decimal equivalent of binary number 1001110 :-
=  1 × 2⁶ + 0 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 1 x 21 + 0 x 20

​= 64 + 0 + 0 + 8 + 4 + 2 + 0 = 78​

• In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four.
• To convert a decimal number to BCD represent each bit with 4 digit binary equivalent

UTF-32 stands for Unicode Transformation Format in 32 bits. It is a protocol to encode Unicode code points that uses exactly 32 bits per Unicode code point. UTF-32 is a fixed-length encoding. Each 32-bit value in UTF-32 represents one Unicode code point and is exactly equal to that code point's numerical value.

Extended Binary Coded Decimal Interchange Code is an eight-bit character encoding used mainly on IBM mainframe and IBM midrange computer operating systems.

EBCDIC was devised in 1963 and 1964 by IBM. It is an eight-bit character encoding, developed separately from the seven-bit ASCII encoding scheme.

Concept: 

Canonical form:  Any Boolean function that expressed as a sum of minterms or as a product of max terms is said to be in its canonical form.

There are two types of canonical forms:

SOP:

Sum of products or sum of minterms

In SOP (sum of product) form, a minterm is represented by 1.

Example of SOP: XY + X’Y’

POS:

Product of sums or product of max terms

In POS (product of sum) form, a maxterm is represented by 0.

Example of POS: (X+Y) (X’+Y’)

Analysis:

Decimal number	A	B	C	D
0	0	0	0	0
1	0	0	0	1
2	0	0	1	0
3	0	0	1	1
4	0	1	0	0
5	0	1	0	1
6	0	1	1	0
7	0	1	1	1
8	1	0	0	0
9	1	0	0	1
10	1	0	1	0
11	1	0	1	1
12	1	1	0	0
13	1	1	0	1
14	1	1	1	0
15	1	1	1	1

∴

Decimal number 15 = ABCD 

The correct answer is Binary Coded Decimal.

Additional Information​

• BCD or Binary Coded Decimal is that number system or code which has the binary numbers or digits to represent a decimal number. A decimal number contains 10 digits (0-9).
• BCD was commonly used for displaying alpha-numeric in the past but in modern-day BCD is still used with real-time clocks or RTC chips to keep track of wall-clock time and it's becoming more common for embedded microprocessors to include an RTC.
• It's very common for RTCs to store the time in BCD format.

UTF-8 is a variable width character encoding capable of encoding all 1,112,064 valid code points in Unicode using one to four 8-bit bytes. The encoding is defined by the Unicode Standard.

The correct answer is Extended Binary Coded Decimal Interchange Code

Additional Information

• Extended Binary Coded Decimal Interchange Code is an eight-bit character encoding used mainly on IBM mainframe and IBM midrange computer operating systems.
• EBCDIC was devised in 1963 and 1964 by IBM. It is an eight-bit character encoding, developed separately from the seven-bit ASCII encoding scheme.