Number System in Prelim, Exercises of Engineering

Conversion of binary, decimal, octal, hexadecimal and along with mathematical operations.

Typology: Exercises

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Uploaded on 09/05/2025

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EXERCISE 10
Q.1: Convert the following binary numbers to decimal equivalent.
(a) 100 (b) 11010 (c) 10110010 (d) 1.001
(e) 110100.010011 (f) 11010.10110 (g) 1000001.111
Q.2: Convert the following decimal numbers to binary equivalent.
(a) 16 (b) 247 (c) 962.84 (d) 0.0132
(e) 6.74
Q.3: Convert the following octal numbers to their decimal
equivalent:
(a) 148(b) 2368(c) 14328 (d) 0.438
(e) 0.2548(f) (16742.3)8(g) (206.104)8
Q.4: Convert the following decimals numbers to their octal
equivalent:
(a) 29 (b) 68 (c) 125 (d) 243.67
(e) 419.95 (f) 645.7 (g) 39.4475 (h) 49.21875
Q.5: Convert the following octal numbers to their binary
equivalent:
(a) 138(b) 278(c) 658(d) 124.3758
(e) 217.4368
Q.6: Convert the following binary numbers to their octal
equivalent:
(a) 10110010 (b) 10101101
(c) 1110101 (d) 10111.101
(e) 111010.001
Q.7: Convert 18 24 to binary form and then perform binary
multiplication.
Q.8: Convert 58.75 23.5 to binary form and then perform
operation.
Q.9: Add the following binary numbers:
(a) 1 1
+ 1 1
…. …..
(b) 1011
+ 1101
……….
(c) 101011
+ 110101
………...
(d) 1110101
+ 1011111
…………
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EXERCISE 10

Q.1: Convert the following binary numbers to decimal equivalent. (a) 100 (b) 11010 (c) 10110010 (d) 1. (e) 110100.010011 (f) 11010.10110 (g) 1000001. Q.2: Convert the following decimal numbers to binary equivalent. (a) 16 (b) 247 (c) 962.84 (d) 0. (e) 6. Q.3: Convert the following octal numbers to their decimal equivalent: (a) 148 (b) 2368 (c) 14328 (d) 0.43 8 (e) 0.254 8 (f) (16742.3) 8 (g) (206.104) 8 Q.4: Convert the following decimals numbers to their octal equivalent: (a) 29 (b) 68 (c) 125 (d) 243. (e) 419.95 (f) 645.7 (g) 39.4475 (h) 49. Q.5: Convert the following octal numbers to their binary equivalent: (a) 138 (b) 278 (c) 658 (d) 124.375 8 (e) 217.436 8 Q.6: Convert the following binary numbers to their octal equivalent: (a) 10110010 (b) 10101101 (c) 1110101 (d) 10111. (e) 111010. Q.7: Convert 1824 to binary form and then perform binary multiplication. Q.8: Convert 58.7523.5 to binary form and then perform operation. Q.9: Add the following binary numbers: (a) 1 1

  • 1 1 …. ….. (b) 1011
  • 1101 ………. (c) 101011
  • 110101 ………... (d) 1110101
  • 1011111 …………

Q.10: Add the following binary numbers: (a) 1011

  • 1101 1011 ……. (b) 1010110 1110101
  • 1001010 ….………. (c) 1010110 1111011
  • 1011111 ………. (d) 10110110 11010101
  • 11010110 ………... Q.11: Subtract the following binary numbers: (a) 1 1
  • 1 0 …. ….. (b) 111
  • 101 ………. (c) 101011
  • 100101 …............ (d) 11100001  10011110 ………… Q.12: Multiply the following binary numbers: (a) 11  11 (b) 101  10 (c) 110  101 (d) 1011  1101 (e) 1010  101 Q.13: Divide the following binary numbers: (a) 110  10 (b) 10110  10 (d) 101101 1.1 (e) 11001.11  1101