0.5 * 2 =
1
1
1
1
1
11
3.5 = 011.1
Mantissa field: 0111 radix in .0111 must be moved 3-bit to the right to obtain 011.1 So exponent is positive 3
The final 8-bit floating-point notation is
1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 |
3.5 decimal fractional value is using 8-bit floating-point notation is -11110111
Decode the following 8-bit floating point binary value to decimal fractional value.
The mantissa is: .1100
Exponent: 010 It is in 3-bit excess notation-4
-2 Exponent is negative so shift radix (.1100) left.
001100 Convert it into decimal fractional value .001100 is equal to .0011.
. | 2-1 | 2-2 | 2-3 | 2-4 |
. | ½ | ¼ | 1/8 | 1/6 |
. | 0 | 0 | 1 | 1 |
0 + 0 + 1/8 + 1/6
=0.1875
Question 2:
Perform the binary addition on the following decimal numbers:
46 3 8 and 92 7 8
Convert into binary
46 3 8 =101110.0110
92 7 8 = 1011100.1110
Perform addition
1+1=0 (1 carry)
1+1+1=1(1 carry)
1 | 0 | 1 | 1 | 1 | 0 | 0 | . | 0 | 1 | 1 | 0 | |
0 | 1 | 0 | 1 | 1 | 1 | 0 | . | 1 | 1 | 1 | 0 | |
+ | + | |||||||||||
1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | . | 0 | 1 | 0 | 0 |
=10001011.0100
Question 3:
The logical operations (AND, OR, NOT, and XOR etc.) discussed in the video lessons can be combined to perform some specific operations. Two such operations (circuits) are depicted in the first column “Circuits” of the following table. You are required to determine the output of each of the following circuits for the input values given in column 2 and column 3.
Circuits | What would be the output when the upper input is 1 and the lower input is 0? | What would be the output when upper input is 0 and the lower input is 1? |
INPUTS OUTPUT | Output 0 | Output 0 |
INPUT OUTPUT | Output 0 | Output 1 |
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