STIG AS Level: BCD

Last updated 8 months ago

10 questions

What is BCD?

STIG AS Level: BCD

Last updated 8 months ago

10 questions

What is BCD?

Draggable item		Corresponding Item
1000 1000		Hexadecimal
-21		Binary
1011		2's Complement
7A		Binary Coded Decimal

Draggable item		Corresponding Item
81 (BCD)		79
121 in hexadecimal		240
-21 (2s complement)		11101011
11110000 into denary (decimal)		1000 0001

Explain how 901 is 100100000001 in BCD

Binary Coded Decimal (BCD) is a way to represent decimal numbers (the numbers we commonly use, which are base-10) in a binary format (base-2). In BCD, each digit of a decimal number is represented by its own binary sequence.

How BCD Works:
Each digit in the decimal number is separately converted to a 4-bit binary equivalent.
For example, the decimal digit "5" is represented by the binary number "0101" in BCD.
The decimal digit "9" is represented by "1001" in BCD.
Example:
Let's take the decimal number 593.
First, break it down into its individual digits: 5, 9, and 3.
Convert each digit into a 4-bit binary number:
5 in binary is 0101.
9 in binary is 1001.
3 in binary is 0011.

so 593 is = 0101 1001 0011 (BCD)

Describe how an 8-bit BCD representation can be converted into a denary integer.
Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD.
Give an example in your answer.

Match Up

Convert the following denary integer into Binary Coded Decimal (BCD). 653

State how you can recognise that this is not a valid BCD representation

Where is BCD used?
1. Digital Clocks and Watches
Display: BCD is used to drive the display of digits in digital clocks and watches. Each digit of the time is stored and manipulated as a separate BCD number, making it easy to convert directly to the 7-segment display format.
2. Calculators
Arithmetic Operations: Calculators often use BCD to perform arithmetic operations on decimal numbers. This is because BCD allows easier handling of decimal digits, avoiding errors that could arise from floating-point binary arithmetic.
3. Digital Displays (e.g., 7-Segment Displays)
Representation: In devices that use 7-segment displays (like fuel pumps, elevator floor indicators, or basic digital meters), BCD is commonly used to represent each digit of a number directly, making it simpler to drive the segments of the display.
4. Financial Applications
Exact Decimal Representation: In financial systems, BCD is sometimes used to ensure that decimal numbers (like currency) are represented exactly, without the rounding errors that can occur in binary floating-point representations.

STIG AS Level: BCD

STIG AS Level: BCD

Explain how 901 is 100100000001 in BCD

How BCD Works:

Example:

Describe how an 8-bit BCD representation can be converted into a denary integer.
Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD.
Give an example in your answer.

Match Up

Convert the following denary integer into Binary Coded Decimal (BCD). 653

State how you can recognise that this is not a valid BCD representation

Where is BCD used?

1. Digital Clocks and Watches

2. Calculators

3. Digital Displays (e.g., 7-Segment Displays)

4. Financial Applications

Research your own BCD application and explain here

Describe a practical application where BCD is used.

Explain how 901 is 100100000001 in BCD

How BCD Works:

Example:

Describe how an 8-bit BCD representation can be converted into a denary integer.
Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD.
Give an example in your answer.

Match Up

Convert the following denary integer into Binary Coded Decimal (BCD). 653

State how you can recognise that this is not a valid BCD representation

Where is BCD used?

1. Digital Clocks and Watches

2. Calculators

3. Digital Displays (e.g., 7-Segment Displays)

4. Financial Applications

Research your own BCD application and explain here

Describe a practical application where BCD is used.

STIG AS Level: BCD

STIG AS Level: BCD

Explain how 901 is 100100000001 in BCD

How BCD Works:

Example:

Describe how an 8-bit BCD representation can be converted into a denary integer. Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD. Give an example in your answer.

Match Up

Convert the following denary integer into Binary Coded Decimal (BCD). 653

State how you can recognise that this is not a valid BCD representation

Where is BCD used?

1. Digital Clocks and Watches

2. Calculators

3. Digital Displays (e.g., 7-Segment Displays)

4. Financial Applications

Research your own BCD application and explain here

Describe a practical application where BCD is used.

Explain how 901 is 100100000001 in BCD

How BCD Works:

Example:

Describe how an 8-bit BCD representation can be converted into a denary integer. Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD. Give an example in your answer.

Match Up

Convert the following denary integer into Binary Coded Decimal (BCD). 653

State how you can recognise that this is not a valid BCD representation

Where is BCD used?

1. Digital Clocks and Watches

2. Calculators

3. Digital Displays (e.g., 7-Segment Displays)

4. Financial Applications

Research your own BCD application and explain here

Describe a practical application where BCD is used.

Describe how an 8-bit BCD representation can be converted into a denary integer.
Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD.
Give an example in your answer.

Describe how an 8-bit BCD representation can be converted into a denary integer.
Give an example in your answer.

Describe how denary integers larger than 9 can be converted into BCD.
Give an example in your answer.