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Step3:-
a2 = left bit to a1 = 0
Step4:-
A3 = left bit to a2 = 0
Step5
A4 = left bit to a3 or most significant bit (MSB) = 1
The equivalent binary number for 17 decimal is = (a4a3a2a1a0) = (10001)
Step6:-
b0 = 0
Step7:-
b1 = 1
The equivalent binary number for 0.25 decimal is = (0.b0b1) = (0.01)
Answer The equivalent binary number for 17.25 decimal = (a4a3a2a1a0.b0b1) = (10001.01)
Formula to convert a binary number to decimal:
Example: Convert 101010.1 to decimal
The equivalent decimal value
= 1*(2^5) + 0*(2^4) + 1*(2^3) + 0*(2^2) + 1*(2^1) + 0*(2^0) + 1*(2^-
= 32 + 0 + 8 + 0 + 2 + 0 + 0.5
= 42.5
Answer. The decimal equivalent of (101010.1) is 42.5
Group of 4 bits can also represented as hexadecimal numbers.
Formula to convert a decimal number to binary:
Example: To represent 17.25 in digital system we will need to use 5 bits.
Step1: -
a0 = LSB = 1
Step2: -
a1 = left bit to LSB (a0) = 0
Binary Numbers Discussion
Bit: The smallest unit of a digital system is called is ‘bit’.
1 bit can take 2 values (which is either ‘1’ or ‘0’)
So, a set of 4 bits can represent (=2^4) 16 decimal values.
And, ‘5’ bits can represent (=2^5) 32 decimal values
Byte: All the discrete information in digital discrete systems is represented as group of bits. A group of 8 bits is called a byte.
