Show binary coded decimal number system, Electrical Engineering

Assignment Help:

Q. Show Binary Coded Decimal Number System?

If we analysis single digit values for hex, the numbers 0 - F, they represent the values 0 - 15 in decimal, and occupy a nibble. Frequently, we wish to use a binary equivalent of the decimal system.

This system is called as BCD or Binary Coded Decimal which also occupies a nibble. In Binary Coded Decimal, the binary patterns 1010 through 1111 do not represent valid BCD numbers, and cannot be used.

Conversion from Decimal to Binary Coded Decimal (BCD) is straightforward. You simply assign each digit of the decimal number to a byte and convert 0 through 9 to 0000 0000 through 0000 1001, but you can't perform the repeated division by 2 as you did to convert decimal to binary.

Lets us see how this works. Determine the Binary Coded Decimal or BCD value for the decimal number 5,319. Ever since there are four digits in our decimal number, there are four bytes in our BCD number. They are as

Thousands

Hundreds

Tens

Units

5

3

1

9

0 0 0 0 0 1 0 1

0 0 0 0 0 0 1 1

0 0 0 0 0 0 0 1

0 0 0 0 1 0 0 1

Ever since computer storage requires the minimum of 1 byte, you can see that the upper nibble of each BCD or Binary Coded Decimal number is wasted storage. Binary Coded Decimal is still a weighted position number system so you may perform mathematics, but we must use special techniques in order to obtain a correct answer.

(BCD) Binary Coded decimal is a variation on binary code in which each digit of a base-10 (decimal) number is represented by its 4-digit binary code. Therefore, to represent the number 5739 in BCD, we take each digit separately and write down its binary representation with 4 -digits:

                                5 - binary 0101
                                7 - binary 0111
                                3 - binary 0011
                                9 - binary 1001

The Binary Coded Decimal representation of 5739 is therefore 0101 0111 0011 1001

Binary Coded Decimal is not a particularly efficient code as in pure binary 4-bits can represent 16 different numbers but in Binary Coded Decimal 4-bits are used to represent only 10 numbers.


Related Discussions:- Show binary coded decimal number system

Determine IS in the given circuit, Q. Given that V 0 = 10 V, determine IS ...

Q. Given that V 0 = 10 V, determine IS in the circuit drawn in Figure.

Determine the current in the exciting winding, Consider the magnetic circui...

Consider the magnetic circuit of Figure with an air gap, while neglecting leakage flux. Correct for fringing by adding the length of the air gap l g = 0.1 mm to each of the other

Explain superconductivity, Explain Superconductivity. Superconductiv...

Explain Superconductivity. Superconductivity - The resistivity of most metals rises with rise in temperature and vice-versa. There are several metals and chemical compounds

Zero flag - sub subtract instruction , Zero Flag Since results  is n...

Zero Flag Since results  is non  zero in this  example zero  flag is reset.

What are difference equations, What are Difference Equations? A continu...

What are Difference Equations? A continuous-time system can be described by differential equations. Likewise, a discrete-time system can be explained by difference equations. T

Where holes are majority carriers, Holes are majority carriers in (A) ...

Holes are majority carriers in (A) P-type semiconductors.  (B) N-type semiconductors. (C)  Insulators.            (D) Superconductors. Ans: Holes are m

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd