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9. In decimal to binary conversion, the first remainder is called ………………… .
a. MSB b. FSB
c. LSB d. RSB
10. Subtracting 1-0 in binary number system gives ………………… .
a. Result 1, borrow 0 b. Result -1, borrow 1
c. Result 1, borrow 1 d. Result 0, borrow 1
B. Fill in the blanks.
1. The value of any digit in a number can be determined by a ………………… , its position in the number and the ………………… of the
number system.
2. The base of a binary number system is ………………… .
3. Decimal number system uses digits from ………………… to ………………… .
4. Digits 10 to 15 in the hexadecimal number system are represented by ………………… to ………………… .
5. To convert a decimal number to binary we have to ………………… the decimal number by ………………… .
6. One’s complement of 101101 is ………………… and two’s complement is ………………… .
7. Seven’s complement of 6217 is ………………… and its Eight’s complement is ………………… .
8. The hexadecimal equivalent of binary 1111 1010 is ………………… .
0
9. 16 is equal to ………………… .
10. Binary equivalent of hexadecimal digit E is ………………… .
C. Answer the following questions:
1. Convert the following decimal numbers to binary:
a. (763) b. (2154)
10
10
c. (678.50) d. (2351.75)
10 10
2. Convert the following decimal numbers to octal:
a. (299) b. (3846)
10
10
c. (178.48) d. (4367.5)
10 10
3. Convert the following decimal numbers to hexadecimal:
a. (488) b. (3926)
10
10
c. (978.5) d. (6363.25)
10 10
4. Convert the following binary numbers to decimal:
a. (100110) b. (11101111)
2
2
c. (101010.11) d. (1111010.101)
2 2
5. Convert the following octal numbers to decimal:
a. (2571) b. (3773)
8
8
c. (1655.25) d. (2511.4)
8 8
6. Convert the following hexadecimal numbers to decimal:
a. (2DC1) b. (EC98)
16
16
c. (5E67.8) d. (E22B.C)
16 16
7. Convert the following binary numbers to octal:
a. (10011110) b. (111011101)
2
2
c. (1001010.11) d. (1110010.001)
2 2
8. Convert the following binary numbers to hexadecimal:
a. (100111100) b. (11101110011)
2
2
c. (10010101.101) d. (11110010.001)
2 2
9. Convert the following octal numbers to binary:
a. (4573) b. (1771)
8
8
c. (655.25) d. (536.4)
8 8
System of Numeration 51

