Question 1

Any signed negative binary number is recognised by its______________

Accepted Answer

The most significant bit (msb) is used to recognize a signed negative binary number. In signed binary numbers, the msb indicates the sign, where 0 usually represents a positive number and 1 represents a negative number.

Question 2

The parameter through which 16 distinct values can be represented is known as______________

Accepted Answer

C

Question 3

If the decimal number is a fraction then its binary equivalent is obtained by______________the number continuously by 2.

Accepted Answer

To convert a fraction from decimal to binary, you multiply the fraction by 2 continuously and note down the integer part (0 or 1) at each step until the fractional part becomes 0 or reaches the desired level of accuracy.

Question 4

The representation of octal number (532.2)8 in decimal is______________

Accepted Answer

The octal number system is base-8, meaning it uses eight symbols: 0, 1, 2, 3, 4, 5, 6, and 7. To convert an octal number to decimal, you multiply each digit by 8 raised to the power of its position, counting from right to left and starting at 0. For the integer part: $5 \times 8^2 + 3 \times 8^1 + 2 \times 8^0 = 5 \times 64 + 3 \times 8 + 2 \times 1 = 320 + 24 + 2 = 346$. For the fractional part: $2 \times 8^{-1} = 2 \times \frac{1}{8} = 0.25$. Therefore, $532.2)_8 = (346.25)_{10}$.

Question 5

The decimal equivalent of the binary number (1011.011)2 is______________

Accepted Answer

The binary number (1011.011)2 can be converted to decimal by multiplying each digit by 2 raised to the power of its position, counting from right to left starting from 0 for the first digit to the right of the decimal point. For the integer part: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11. For the fractional part: 0*2^(-1) + 1*2^(-2) + 1*2^(-3) = 0 + 0.25 + 0.125 = 0.375. Therefore, the decimal equivalent is 11.375.

Question 6

An important drawback of binary system is

Accepted Answer

The binary system, which uses only two digits (0 and 1), often requires a much longer string of these digits to represent the same value as a decimal number. This is because the binary system has a base of 2, compared to the decimal system's base of 10, making binary less efficient in terms of space for representing large numbers.

Question 7

The decimal equivalent of the octal number (645)8 is____________

Accepted Answer

The answer of The decimal equivalent of the octal number...

Question 8

The largest two digit hexadecimal number is

Accepted Answer

The largest two-digit hexadecimal number is (ff)16, as 'f' represents the decimal value 15, which is the highest single digit in hexadecimal. Hexadecimal digits range from 0 to 15, represented as 0-9 and A-F.

Question 9

What is the addition of the binary numbers 11011011010 and 010100101?

Accepted Answer

The answer of What is the addition of the binary...

Question 10

Representation of hexadecimal number (6DE)H in decimal:

Accepted Answer

The hexadecimal number (6DE)H is converted to decimal by multiplying each digit by 16 raised to the power of its position, starting from 0 on the right. Here, D is 13 and E is 14 in decimal.

Question 11

100101 × 0110 = ?

Accepted Answer

To multiply binary numbers, align them and perform binary multiplication similar to decimal multiplication. 100101 (37 in decimal) multiplied by 0110 (6 in decimal) equals 101111110 (222 in decimal).

Question 12

Perform multiplication of the binary numbers: 01001 × 01011 = ?

Accepted Answer

The binary multiplication of 01001 (9 in decimal) and 01011 (11 in decimal) results in 001100011, which is 99 in decimal.

Question 13

Divide the binary numbers: 111101 ÷ 1001 and find the remainder

Accepted Answer

When dividing the binary number 111101 by 1001, the quotient is 110 and the remainder is 0011.

Question 14

Divide the binary number (011010000) by (0101) and find the quotient

Accepted Answer

The answer of Divide the binary number (011010000) by (0101)...

Question 15

Binary coded decimal is a combination of

Accepted Answer

Binary coded decimal (BCD) represents each decimal digit in a four-bit binary format.

Question 16

The decimal number 10 is represented in its BCD form as______________

Accepted Answer

BCD (Binary-Coded Decimal) represents each decimal digit in its own group of four binary digits. For the decimal number 10, the BCD representation is 0001 for '1' and 0000 for '0', making it 00010000.

Question 17

Carry out BCD subtraction for (68) - (61) using 10's complement method.

Accepted Answer

The correct result of subtracting 61 from 68 in BCD using the 10's complement method is 00000111, which represents the decimal number 7. This is because 68 - 61 = 7 in decimal, and when converted directly to BCD, 7 is represented as 0000 0111.

Question 18

When numbers, letters or words are represented by a special group of symbols, this process is called

Accepted Answer

Encoding is the process of converting information from one form to another, using a specific set of symbols. This applies to numbers, letters, or words being represented by a special group of symbols.

Question 19

A three digit decimal number requires______________for representation in the conventional BCD format.

Accepted Answer

In conventional BCD (Binary Coded Decimal) format, each decimal digit is represented by its own four-bit binary sequence. Therefore, a three-digit decimal number would require 3 x 4 = 12 bits for representation.

Question 20

How many bits would be required to encode decimal numbers 0 to 9999 in straight binary codes?

Accepted Answer

To encode decimal numbers 0 to 9999, a total of 10,000 unique values need to be represented. The formula to calculate the number of bits required is log2(N), where N is the number of values. log2(10000) is approximately 13.29. Since we can't have a fraction of a bit, we round up to the nearest whole number, which is 14.

Quiz 1: Number Systems and Binary Codes