Binary Code

Parity bit

A parity bit is an extra bit that is attached to the information that is being sent from one position to the other. This bit is attached just to detect the error if any in the information during the transmission.  This bit is used to make number of 1’s in the message or information either […]

Binary Code

Gray Code

This is also called unit distance code or reflected code. This coding system has a property that there is only one bit change between consecutive gray codes. The following table would show gray codes of decimal values. Binary to gray conversion: Starting from right to left If it is MSB then place it as it is […]

Binary Code

Excess-3 Code

It is also known as XS-3. We add 310 or 1102 to the each 4-bit combination of BCD codes to get excess-3 codes. We can see the corresponding Excess-3 codes of each BCD number:  Decimal Binary                   BCD                                        Excess-3 0          0000                       0000                                       0011         0001                       0001                                       0100         0010                       0010                                       0101         0011                       0011                                       0110         0100                       0100                                       0111         0101                       […]

Binary Code

Efficiency of BCD codes

Q- Calculate the efficiency of BCD codes wrt Binary number representation for (a) 4-bit (b) 8-bit. Ans: (a) With 4-bits we have 10 numbers represented in BCD while 16 in Binary hence Efficiency = (10/16)* 100 = 62.5% (b) With 8-bits we have 100(102) numbers represented in BCD while 256(28) in Binary hence Efficiency = (100/256)* 100 […]

Binary Code

BCD Codes

It is an abbreviation of Binary coded decimal. In this coding each decimal digit is represented by the equivalent 4 bits. So if we are to represent 1110 in binary it is 1011 while in BCD it is 0001 0001. So we can see corresponding binary & BCD equivalent of decimal numbers in the following table: […]

Binary Code

Type of BINARY CODES

We can categorize binary codes in following types: Weighted codes: These codes have fixed weights for different binary positions e.g.  BCD codes, 8 4 -2 -1, 2 4 2 1 etc Non-weighted codes: These codes don’t have fixed weights for different binary positions e.g. excess-3 codes, gray code Sequential codes: In this coding system, we have consecutive codeswhosedecimal equivalents […]