The decimal equivalent of (101111.1101)2 is
A binary number can be converted into decimal number by multiplying the binary numbers 1 or 0 by their weight and adding the product. Conversion of 101111 is done as follows:
Consider the following statements associated with data representation by 1’s and 2‘s complements:
1. The 2’s complement system requires only one arithmetic operation.
2. The 1 ’s complement system requires two arithmetic operations.
3. The 1 's complement is often used in logical manipulations for inversion operation.
4. The 2 ’s complement is used only for arithmetic applications.
Which of the statements given above are correct?
Match List-l with List-ll and select the correct answer using the codes given below the lists:
The following two numbers are converted into desired bases x and y respectively.
The values of x and y are respectively
The binary number is converted into octal number as follows:
On converting the decimal number (7864)10 into hexadecimal number we obtain the result (EB8)16 as follows:
Thus, (7864)10 = (1EB8)16
If (100110) x (x)10 = (101010110)2, then the value of x will be equal to
From above multiplication, it is clear that,
The range of numbers that can be represented using 6-bits in signed binary number representation is
In signed binary number representation, the range of number that can be represented by an n -bit number is
For n = 6, the range is -31 to + 31.
A decimal number (22)10 may be represented by the following ways:
The binary equivalent of (22)10 = (10110)2 as follows:
∴ (22)10 = (10110)2
Thus, (10110)2 = (11101)gray
The 7-bit even parity Hamming code of the binary bits 0101 is
∴ The required 7-bit even parity Hamming code is ( 0 1 0 0 1 0 1).
If (2AC9)16 = (Z)7, then the value of Z is
Thus, (2AC9)16 - (10,953)10
Now, the decimal number is converted into the number of base 7 as follows:
Assertion (A): Digital circuits are often called switching circuits.
Reason (R): Each type of digital circuit obeys a certain set of logic rules.
Digital circuits are often called switching circuits, because the voltages in a digital circuit are assumed to be switching from one value to another instantaneously, that is, the transition time is assumed to be zero.
Reason is also a correct statement because digital circuit is a logic circuit, because each type of digital circuit obeys a certain set of logic rules. Hence, both assertion and reason are true but reason is not the correct explanation of assertion.