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Questions and Answers
What is the radix or base of the decimal number system?
What is the radix or base of the decimal number system?
How many digits are there in the binary system?
How many digits are there in the binary system?
What is the correct term for the time required to send one bit in a digital signal?
What is the correct term for the time required to send one bit in a digital signal?
Which number system is used by computers for their operations?
Which number system is used by computers for their operations?
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How many basic numbers are used in the decimal number system?
How many basic numbers are used in the decimal number system?
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What is the correct definition of the term 'bit rate' in a digital signal?
What is the correct definition of the term 'bit rate' in a digital signal?
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How many digits and characters make up the hexadecimal system?
How many digits and characters make up the hexadecimal system?
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What is the base value of the hexadecimal system?
What is the base value of the hexadecimal system?
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What is the weight of the least significant bit (LSB) in a hex number?
What is the weight of the least significant bit (LSB) in a hex number?
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How can a decimal number be converted to a hexadecimal number?
How can a decimal number be converted to a hexadecimal number?
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In BCD code, how is each decimal digit represented?
In BCD code, how is each decimal digit represented?
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What is another name for the 8-4-2-1 code used in BCD?
What is another name for the 8-4-2-1 code used in BCD?
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What is the binary equivalent of (672)8?
What is the binary equivalent of (672)8?
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When converting (36)8 to binary, what is the correct binary representation?
When converting (36)8 to binary, what is the correct binary representation?
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How many bits are grouped together in the binary to octal conversion process?
How many bits are grouped together in the binary to octal conversion process?
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What is the octal equivalent of (101111100)2?
What is the octal equivalent of (101111100)2?
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Why is the hexadecimal number system used in digital systems and computers?
Why is the hexadecimal number system used in digital systems and computers?
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How are bits grouped when forming a hexadecimal number from a binary number?
How are bits grouped when forming a hexadecimal number from a binary number?
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Study Notes
Number Systems and Their Bases
- The decimal number system operates on a base of 10.
- The binary system consists of 2 digits: 0 and 1.
- The hexadecimal system has a base value of 16.
Digital Signal Terminology
- The time required to send one bit in a digital signal is known as 'bit time.'
- 'Bit rate' refers to the number of bits transmitted per unit of time, typically measured in bits per second (bps).
Number Representations
- In the decimal number system, there are 10 basic digits: 0 through 9.
- The hexadecimal system includes 16 digits, comprising 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15).
Binary and Octal Conversions
- The weight of the least significant bit (LSB) in a hexadecimal number is 1.
- To convert a decimal number to hexadecimal, divide the number by 16 and use the remainder to denote digits from least significant to most significant.
- Each decimal digit in Binary-Coded Decimal (BCD) representation is encoded with 4 bits.
BCD Code
- The 8-4-2-1 code is another term for BCD, representing decimal values with binary digits.
Octal and Binary Relations
- The binary equivalent of the octal number (672)8 is determined through conversion processes.
- The octal equivalent of a binary number like (101111100)2 is found by grouping bits into sets of three from the right side.
Grouping Bits for Conversion
- In binary to octal conversion, bits are grouped in sets of three.
- When forming a hexadecimal number from a binary number, bits are grouped in sets of four.
Applications in Computing
- The hexadecimal system is widely used in digital systems and computers due to its compact representation of binary data.
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Description
Learn about how data can be represented by a digital signal, encoding 1s and 0s as positive and zero voltage. Understand terms like bit interval and bit rate to describe digital signals.